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Topics referred to by the same term
In mathematics, Chow's theorem may refer to a number of theorems due to Wei-Liang Chow: Chow's theorem: Any analytic subvariety in projective space is
Chow's_theorem
On horizontal paths in a sub-Riemannian manifold
In sub-Riemannian geometry, the Chow–Rashevskii theorem (also known as Chow's theorem) asserts that any two points of a connected sub-Riemannian manifold
Chow–Rashevskii_theorem
Two closely related mathematical subjects
characteristic 0. (e.g. Kodaira type vanishing theorem.) Chow's theorem (Chow (1949)), proved by Wei-Liang Chow, is an example of the most immediately useful
Algebraic geometry and analytic geometry
Algebraic_geometry_and_analytic_geometry
Relation between genus, degree, and dimension of function spaces over surfaces
The Riemann–Roch theorem is an important theorem in mathematics, specifically in complex analysis and algebraic geometry, for the computation of the dimension
Riemann–Roch_theorem
(in the scheme sense or otherwise) over the field of complex numbers. Chow's theorem states that a projective complex analytic variety, i.e., a closed analytic
Complex_algebraic_variety
Chinese mathematician
valid in a more general context." Chow's lemma Chow's moving lemma Chow's theorem Chow ring Chow–Rashevskii theorem Chern, S. S.; Tian, G.; Li, Peter
Wei-Liang_Chow
Algebraic variety in a projective space
analytic sheaves) on X coincide with that of algebraic vector bundles. Chow's theorem says that a subset of projective space is the zero-locus of a family
Projective_variety
One-dimensional complex manifold
compact Riemann surface is a complex algebraic curve by Chow's theorem and the Riemann–Roch theorem. There are several equivalent definitions of a Riemann
Riemann_surface
theorem (logic) Diaconescu's theorem (mathematical logic) Easton's theorem (set theory) Erdős–Dushnik–Miller theorem (set theory) Erdős–Rado theorem (set
List_of_theorems
Relation between sides of a right triangle
In mathematics, the Pythagorean theorem or Pythagoras's theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle
Pythagorean_theorem
general type is an algebraic surface with Kodaira dimension 2. Because of Chow's theorem any compact complex manifold of dimension 2 and with Kodaira dimension
Surface_of_general_type
Mathematical theory
theorem of Gillet & Soulé (1992), an extension of the Grothendieck–Riemann–Roch theorem to arithmetic varieties. For this one defines arithmetic Chow
Arakelov_theory
plane is not. A consequence of the Remmert–Stein theorem (also treated in their paper), is Chow's theorem stating that any projective complex analytic space
Remmert–Stein_theorem
Characterises non-singular projective varieties amongst compact Kähler manifolds
that M embeds as an algebraic variety follows from its compactness by Chow's theorem. A Kähler manifold with a Hodge metric is occasionally called a Hodge
Kodaira_embedding_theorem
Mathematical manifold theory
closed complex submanifold of some complex projective space CPN. By Chow's theorem, complex projective manifolds are automatically algebraic: they are
Hodge_theory
Unsolved problem in geometry
Fubini–Study metric, such a manifold is always a Kähler manifold. By Chow's theorem, a projective complex manifold is also a smooth projective algebraic
Hodge_conjecture
Kind of complex manifold
Computer algebra can handle cases for small n reasonably well. By Chow's theorem, no complex torus other than the abelian varieties can 'fit' into projective
Complex_torus
Concept in algebraic geometry
projective space implies Chow's theorem that every closed analytic subspace of CPn is algebraic. Serre's vanishing theorem says that for any ample line
Coherent_sheaf_cohomology
Theorem in topology
Brouwer's fixed-point theorem is a fixed-point theorem in topology, named after L. E. J. (Bertus) Brouwer. It states that for any continuous function f
Brouwer_fixed-point_theorem
Result in algebraic geometry
Grothendieck–Riemann–Roch theorem is a far-reaching result on coherent cohomology. It is a generalisation of the Hirzebruch–Riemann–Roch theorem, about complex manifolds
Grothendieck–Riemann–Roch theorem
Grothendieck–Riemann–Roch_theorem
Complete manifolds of non-negative sectional curvature largely reduce to the compact case
In mathematics, the soul theorem is a theorem of Riemannian geometry that largely reduces the study of complete manifolds of non-negative sectional curvature
Soul_theorem
orbit is equal to the whole manifold M {\displaystyle \ M} . Frobenius theorem (differential topology) Jurdjevic, Velimir (1997). Geometric control theory
Orbit_(control_theory)
Projective variety that is also an algebraic group
the field of complex numbers. By invoking the Kodaira embedding theorem and Chow's theorem, one may equivalently define a complex abelian variety of dimension
Abelian_variety
Branch of mathematics
have no common zeros in C P n {\displaystyle \mathbf {CP} ^{n}} . (By Chow's theorem, this is the same thing as a holomorphic mapping from C P n {\displaystyle
Complex_dynamics
Mathematical result in differential geometry
In differential geometry, the Atiyah–Singer index theorem, proved by Michael Atiyah and Isadore Singer (1963), states that for an elliptic differential
Atiyah–Singer_index_theorem
Mathematical concept
properties. It also plays a central role in algebraic geometry; by Chow's theorem, any compact complex submanifold of CPn is the zero locus of a finite
Complex_projective_space
Type of mathematical functions
complex projective space of enough high-dimension N. In addition the Chow's theorem shows that the complex analytic subspace (subvariety) of a closed complex
Function of several complex variables
Function_of_several_complex_variables
Analogs of homology groups for algebraic varieties
bundles and Chow groups. Namely, let K0(X) be the Grothendieck group of vector bundles on X. As part of the Grothendieck–Riemann–Roch theorem, Grothendieck
Chow_group
In mathematics, Krener's theorem is a result attributed to Arthur J. Krener in geometric control theory about the topological properties of attainable
Krener's_theorem
algebraic geometry, the decomposition theorem of Beilinson, Bernstein, Deligne and Gabber or BBDG decomposition theorem is a set of results concerning the
Decomposition theorem of Beilinson, Bernstein and Deligne
Decomposition_theorem_of_Beilinson,_Bernstein_and_Deligne
Universal construction of a complex Lie group from a real Lie group
is closed in the Zariski topology by Chow's theorem, so is a smooth projective variety. The Borel–Weil theorem and its generalizations are discussed
Complexification_(Lie_group)
American mathematician (1943–2024)
implicit function theorem, and many authors have attempted to put the logic of the proof into the setting of a general theorem. Such theorems are now known
Richard_S._Hamilton
Resolved problem in plane geometry
global theorem is the Liouville's theorem. Another global theorem is Chow's theorem. The global method was used in the proof of Ushiki's Theorem. Similar
Equichordal_point_problem
of a scheme S to schemes over S. The theorem can be viewed as an instance of (Grothendieck's) formal GAGA. Chow's lemma Grothendieck, Alexandre; Dieudonné
Grothendieck existence theorem
Grothendieck_existence_theorem
interesting. A Chow quotient parametrizes closures of generic orbits. It is constructed as a closed subvariety of a Chow variety. Kapranov's theorem says that
Chow_variety
On tangency patterns of circles
The circle packing theorem (also known as the Koebe–Andreev–Thurston theorem) describes the possible patterns of tangent circles among non-overlapping
Circle_packing_theorem
Theorem in geometric topology
conjecture (UK: /ˈpwæ̃kæreɪ/, US: /ˌpwæ̃kɑːˈreɪ/, French: [pwɛ̃kaʁe]) is a theorem about the characterization of the 3-sphere (the hypersphere that bounds
Poincaré_conjecture
American mathematician (born 1942)
played a role in nonlinear controllability by proving a version of Chow's theorem. After receiving his doctorate, Krener became a professor of mathematics
Arthur_J._Krener
Generalisation of Jacobian variety
Replacing the Chow group by Suslin–Voevodsky algebraic singular homology after the introduction of Motivic cohomology Roitman's theorem has been obtained
Albanese_variety
subgroup of the associated algebraic Lie group. Kazhdan's theorem says the following: Kazhdan's theorem—If X is an arithmetic variety, then, for all automorphisms
Arithmetic_variety
Simply connected Riemann surface is equivalent to an open disk, complex plane, or sphere
In mathematics, the uniformization theorem states that every simply connected Riemann surface is conformally equivalent to one of three Riemann surfaces:
Uniformization_theorem
has been developed by Bloch and Marc Levine. In more precise terms, a theorem of Voevodsky implies: for a smooth scheme X over a field and integers p
Bloch's_higher_Chow_group
Partial differential equation
by a positive number, then the existence theorem discussed in the following section would become a theorem which produces a Ricci flow that moves backwards
Ricci_flow
Invariant of algebraic varieties and of more general schemes
Cohomology, Theorem 5.1. Voevodsky, On motivic cohomology with Z/l coefficients, Theorem 6.17. Jannsen, Motivic sheaves and filtrations on Chow groups, Conjecture
Motivic_cohomology
Type of commutative ring in mathematics
who proved the unmixedness theorem for polynomial rings, and for Irvin Cohen (1946), who proved the unmixedness theorem for formal power series rings
Cohen–Macaulay_ring
Algebraic curve in mathematics
geometry) Modularity theorem Moduli stack of elliptic curves Nagell–Lutz theorem Riemann–Hurwitz formula Wiles's proof of Fermat's Last Theorem Sarli, J. (2012)
Elliptic_curve
Theorem in geometry
various generalizations of the Riemann–Roch theorem; among the most famous is the Grothendieck–Riemann–Roch theorem, which is further generalized by the formulation
Riemann–Roch-type_theorem
Theorem in algebraic geometry
In algebraic geometry, Chow's moving lemma, proved by Wei-Liang Chow (1956), states: given algebraic cycles Y, Z on a nonsingular quasi-projective variety
Chow's_moving_lemma
In algebraic geometry, Kleiman's theorem, introduced by Kleiman (1974), concerns dimension and smoothness of scheme-theoretic intersection after some
Kleiman's_theorem
Mathematical formula involving a given set of operations
The basic theorem of differential Galois theory is due to Joseph Liouville in the 1830s and 1840s and hence referred to as Liouville's theorem. A standard
Closed-form_expression
Number used in algebraic geometry
generalization of Bézout's theorem. (For a proof, see Hilbert series and Hilbert polynomial § Degree of a projective variety and Bézout's theorem.) The degree is
Degree of an algebraic variety
Degree_of_an_algebraic_variety
Subject area in mathematics
Riemann–Roch theorem is a statement about morphisms of varieties, not the varieties themselves. He proved that there is a homomorphism from K(X) to the Chow groups
Algebraic_K-theory
Infinite cardinal number
theorem of ZFC. That it is independent of ZFC was demonstrated by Paul Cohen in 1963, when he showed conversely that the CH itself is not a theorem of
Aleph_number
Chinese-American mathematician (born 1949)
partial differential equations, the Calabi conjecture, the positive energy theorem, and the Monge–Ampère equation. Yau is considered one of the major contributors
Shing-Tung_Yau
American mathematician
Robbins' theorem, in graph theory, is also named after him, as is the Whitney–Robbins synthesis, a tool he introduced to prove this theorem. The well-known
Herbert_Robbins
Time period of seeming infinite density just after the Big Bang
Alexander Vilenkin considered a more general case. The Borde–Guth–Vilenkin theorem shows that a universe that expands on average is finite in the past for
Initial_singularity
{\displaystyle S} -scheme Y i ′ {\displaystyle Y_{i}'} as in the statement of the theorem, then we can take X ′ {\displaystyle X'} to be the disjoint union ∐ Y i
Chow's_lemma
English mathematician (1821–1895)
Cambridge for 35 years. He postulated what is now known as the Cayley–Hamilton theorem—that every square matrix is a root of its own characteristic polynomial
Arthur_Cayley
Formula in differential geometry
(by the divergence theorem) and integrating by parts the first term on the right-hand side. Bochner identity Weitzenböck identity Chow, Bennett; Lu, Peng;
Bochner's_formula
algebraic counterpart of equivariant cohomology. For example, Borel's theorem states that the cohomology ring of a classifying stack is a polynomial
Cohomology_of_a_stack
Mathematics of smooth surfaces
such as the Gauss–Bonnet theorem, the uniformization theorem, the von Mangoldt-Hadamard theorem, and the embeddability theorem. There are other important
Differential geometry of surfaces
Differential_geometry_of_surfaces
Mathematical theorem
Burkholder-Davis-Gundy inequality in the case of discrete-time martingales. Theorem If X i {\displaystyle \textstyle X_{i}} , i = 1 , … , n {\displaystyle
Marcinkiewicz–Zygmund inequality
Marcinkiewicz–Zygmund_inequality
Generalizations of codimension-1 subvarieties of algebraic varieties
on the Chow groups of X, and the homomorphism here can be described as L ↦ c1(L) ∩ [X]. Eisenbud & Harris 2016, § 1.4. Hartshorne (1977), Theorem II.7.1
Divisor_(algebraic_geometry)
Dutch mathematician (1903–1996)
Van der Waerden number Van der Waerden's conjecture Van der Waerden's theorem Van der Waerden test Bartel Leendert van der Waerden at the Mathematics
Bartel Leendert van der Waerden
Bartel_Leendert_van_der_Waerden
five color theorem. The four-color theorem was eventually proved by Kenneth Appel and Wolfgang Haken in 1976. Schröder–Bernstein theorem. In 1896 Schröder
List_of_incomplete_proofs
Intelligence of machines
Nilsson (1998, chpt. 3.3) Universal approximation theorem: Russell & Norvig (2021, p. 752) The theorem: Cybenko (1988), Hornik, Stinchcombe & White (1989)
Artificial_intelligence
Mathematical group occurring in algebraic geometry and the theory of complex manifolds
1.\,} The fact that the rank of NS(V) is finite is Francesco Severi's theorem of the base; the rank is the Picard number of V, often denoted ρ(V). Geometrically
Picard_group
Concept in classical electromagnetism
form". The forms are exactly equivalent, and related by the Kelvin–Stokes theorem (see the "proof" section below). Forms using SI units, and those using
Ampère's_circuital_law
Term in algebraic geometry
theorem in topology that the image of a continuous map from a compact space to a Hausdorff space is a closed subset. The Stein factorization theorem states
Proper_morphism
Branch of algebraic geometry
given variety. The theory for varieties is older, with roots in Bézout's theorem on curves and elimination theory. On the other hand, the topological theory
Intersection_theory
Smallest convex set containing a given set
Russo–Dye theorem describes the convex hulls of unitary elements in a C*-algebra. In discrete geometry, both Radon's theorem and Tverberg's theorem concern
Convex_hull
German mathematician (1882–1945)
conjectured the Koebe quarter theorem on the radii of disks in the images of injective functions, in 1907. His conjecture became a theorem when it was proven by
Paul_Koebe
Theorem in combinatorics
In combinatorics, the Dinitz theorem (formerly known as Dinitz conjecture) is a statement about the extension of arrays to partial Latin squares, proposed
Dinitz_conjecture
Vietnamese-American computer scientist (born 1982)
problems, significantly outperforming previous state-of-the-art automated theorem provers. Le was named MIT Technology Review's innovators under 35 in 2014
Quoc_V._Le
Baked Italian folded pizza
pizza theory Pizza cheese Pizza effect Pizza-ghetti Pizza party Pizza Principle Pizza Rat Pizza theorem Mikhail Gorbachev Pizza Hut commercial v t e
Calzone
In algebraic geometry, a point with rational coordinates
of number theory and Diophantine geometry. For example, Fermat's Last Theorem may be restated as: for n > 2, the Fermat curve of equation x n + y n =
Rational_point
Statistical methods for comparing samples
distribution of each sample proportion is well approximated by the central limit theorem. Under those conditions the observed difference of sample proportions can
Two-proportion_Z-test
Central limit theorem Central limit theorem (illustration) – redirects to Illustration of the central limit theorem Central limit theorem for directional
List_of_statistics_articles
American mathematician (1916–2001)
science Models of communication n-gram Noisy channel coding theorem Nyquist–Shannon sampling theorem One-time pad Product cipher Pulse-code modulation Rate
Claude_Shannon
hyperplane at infinity Projective frame Projective transformation Fundamental theorem of projective geometry Duality (projective geometry) Real projective plane
List of algebraic geometry topics
List_of_algebraic_geometry_topics
23 mathematical problems stated in 1900
with any algebraic numerical coefficients. 12. Extensions of Kronecker's theorem on Abelian fields to any algebraic realm of rationality. 13. Impossibility
Hilbert's_problems
Algebro-geometric stability condition
Donaldson produced a new proof of the Narasimhan–Seshadri theorem. As proved by Donaldson, the theorem states that a holomorphic vector bundle over a compact
K-stability
Italian-American dish
pizza theory Pizza cheese Pizza effect Pizza-ghetti Pizza party Pizza Principle Pizza Rat Pizza theorem Mikhail Gorbachev Pizza Hut commercial v t e
Stromboli_(food)
Tensor in differential geometry
geometric and topological consequences, as in Myers's theorem and related comparison theorems. In dimension three, the Ricci tensor determines the full
Ricci_curvature
that the geometric genus is positive essentially means (by the Lefschetz theorem on (1,1)-classes) that the cohomology group H 2 ( S ) {\displaystyle H^{2}(S)}
Algebraic_cycle
Technique invented by Paul Cohen for proving consistency and independence results
(monotonicity, Cantor's theorem and König's theorem), were the only Z F C {\displaystyle {\mathsf {ZFC}}} -provable restrictions (see Easton's theorem). Easton's work
Forcing_(mathematics)
Concept in statistics
representation theorem by Bruno de Finetti (later extended by other probability theorists such as Halmos and Savage). The extended versions of the theorem show
Exchangeable_random_variables
Branch of mathematics
approach include the Grothendieck–Riemann–Roch theorem, Bott periodicity, the Atiyah–Singer index theorem, and the Adams operations. In high energy physics
K-theory
Branch of algebraic topology
disjoint basepoint labeled '+' adjoined. Finally, the Bott periodicity theorem as formulated below extends the theories to positive integers. K n {\displaystyle
Topological_K-theory
Geometric space whose points represent algebro-geometric objects of some fixed kind
prorepresentability theorems to put these together into an object over a formal base. Next, an appeal to Grothendieck's formal existence theorem provides an object
Moduli_space
Methods of mathematical approximation
perturbation theory" (PDF). Archived (PDF) from the original on 2004-09-20. Chow, Carson C. (23 October 2007). "Perturbation method of multiple scales". Scholarpedia
Perturbation_theory
Foundational law of classical magnetism
and an integral form. These forms are equivalent due to the divergence theorem. The name "Gauss's law for magnetism" is not universally used. The law
Gauss's_law_for_magnetism
Provides lower bounds on the circuit complexity of boolean functions
functions exist with "exponential hardness" as specified in their main theorem, Razborov and Rudich show that these proofs cannot separate certain complexity
Natural_proof
Characteristic classes of vector bundles
information about this through, for instance, the Riemann–Roch theorem and the Atiyah–Singer index theorem. Chern classes are also feasible to calculate in practice
Chern_class
Subspace defined by a polynomial of degree 2 over a field
(1988), section 1. Mimura & Toda (1991), Theorem III.6.11. Kapranov (1988), Theorem 4.10. Swan (1985), Theorem 1. Elman, Richard; Karpenko, Nikita; Merkurjev
Quadric_(algebraic_geometry)
Multivalued function in mathematics
{\displaystyle W_{k}(z)} is algebraic. Then by the Lindemann–Weierstrass theorem we have e W k ( z ) {\displaystyle e^{W_{k}(z)}} is transcendental, but
Lambert_W_function
Australian mathematician
Riemannian geometry. A complete proof of the differentiable 1/4-pinching sphere theorem. Lecture Notes in Mathematics. Vol. 2011. Heidelberg: Springer. doi:10
Ben_Andrews_(mathematician)
Academic journal
ISBN 0-8218-0130-9 Villani, Cédric (May 2016), "On Nash's regularity theorem for parabolic equations in divergence form", John Forbes Nash Jr. (1928–2015)
American Journal of Mathematics
American_Journal_of_Mathematics
Method for estimating the unknown parameters in a linear regression model
residuals when regressors have finite fourth moments and—by the Gauss–Markov theorem—optimal in the class of linear unbiased estimators when the errors are
Ordinary_least_squares
Moduli scheme of subschemes of a scheme, represents the flat-family-of-subschemes functor
symplectic, Kähler manifold is hyperkähler, as follows from the Calabi–Yau theorem. Hilbert schemes of points on the K3 surface and on a 4-dimensional torus
Hilbert_scheme
CHOWS THEOREM
CHOWS THEOREM
Surname or Lastname
English
English : from a Middle English personal name, Chun(n).
Male
Egyptian
, the moon.
Boy/Male
Tamil
Goswamee | கோஸà¯à®µà®¾à®®à¯€
Master of cows
Goswamee | கோஸà¯à®µà®¾à®®à¯€
Boy/Male
Hindu, Indian, Marathi
Protector of Cows
Girl/Female
Tamil
Who shows way
Boy/Male
Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Sindhi, Telugu
Master of Cows
Surname or Lastname
English
English : nickname from Middle English chow (Old English cēo) ‘jackdaw or crow’.Chinese : variant of Zhou.Chinese : Cantonese variant of Zou.Chinese : variant of Cao 1.Chinese : Cantonese variant of Chao 4.
Boy/Male
Hindu, Indian, Sanskrit
Finder of Cows
Boy/Male
Hindu, Indian, Sanskrit
Master of Cows
Girl/Female
Hindu, Indian
Wealthy in Cows
Boy/Male
British, English, Indian, Sanskrit
One who Gives Cows
Boy/Male
Indian, Sanskrit
Cows World
Boy/Male
Indian
The Vice of Cows
Boy/Male
Indian, Sanskrit
Owner of Brindled Cows
Girl/Female
Hindu, Indian
Who Shows Way
Boy/Male
Muslim
One who shows the way
Girl/Female
Indian, Sanskrit
Herder of Cows
Girl/Female
Tamil
Reheila | ரேஹேஈலா
One who shows the way
Reheila | ரேஹேஈலா
Boy/Male
Indian, Sanskrit
King of Cows
Girl/Female
Indian, Tamil, Telugu
Shows Future
CHOWS THEOREM
CHOWS THEOREM
Boy/Male
Arabic, Muslim
Another Name for God; One who Brings Together
Surname or Lastname
English (Oxfordshire)
English (Oxfordshire) : from a personal name based on Old French Otuel.
Girl/Female
Arabic, Muslim
Very Strong
Girl/Female
Hindu
Goddess Durga
Surname or Lastname
English (of Norman origin) and German
English (of Norman origin) and German : occupational name for a sailor (see Mariner), from Anglo-Norman French mariner, Middle High German marnære ‘seaman’.
Male
German
Old German name, GOMERIC means "man-power."
Boy/Male
Indian, Punjabi, Sikh
Attribute of Allah and Light
Boy/Male
Muslim
Boy/Male
Australian, Danish, Dutch, French, Swedish
Fox; Advice; Decision
Boy/Male
Indian, Sanskrit
Without Any Self Interest; Selfless
CHOWS THEOREM
CHOWS THEOREM
CHOWS THEOREM
CHOWS THEOREM
CHOWS THEOREM
n.
One who shows or exhibits.
n. pl.
Cows.
n. pl.
See Crows.
n. pl.
The jaws; also, the fleshy parts about the mouth.
n. pl.
Kine; cows.
n.
Scenic shows or spectacles, taken collectively; spectacular quality; splendor.
n.
The retention of the afterbirth in cows.
n.
The afterbirth of cows, ewes, etc.
n.
One who chews.
n.
One whose occupation is to tend cows.
n.
A person employed to scare off crows; hence, a scarecrow.
n.
An inclosure for cows.
n. pl.
The sides or capes at the mouth of a river, channel, harbor, or bay; as, the chops of the English Channel.
n.
One who keeps and shows church relics.
n.
That which shows; a mirror.
n.
One who shows, exhibits, or describes.
n. pl.
A tribe of Indians of the Dakota stock, living in Montana; -- also called Upsarokas.
n.
One who, or that which, chops.
pl.
of Cow
n.
Healing the distemper of cows.