algebraic geometry, the Chow group of a stack is a generalization of the Chow group of a variety or scheme to stacks. For a quotient stack X = [ Y / G ] {\displaystyle...
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cohomology of a stack is a generalization of étale cohomology. In a sense, it is a theory that is coarser than the Chow group of a stack. The cohomology of a quotient...
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the Chow groups (named after Wei-Liang Chow by Claude Chevalley (1958)) of an algebraic variety over any field are algebro-geometric analogs of the homology...
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Chow group of a stack?), the definition extends to moduli stacks such as the moduli stack of stable sheaves (the Donaldson–Thomas theory) or that of stable...
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universe of all sets. One can simply ignore the problem. This is the approach taken by many authors. Algebraic stack Chow group of a stack Deligne–Mumford...
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flat of finite presentation, the stack B G {\displaystyle BG} is algebraictheorem 6.1. Gerbe Chow group of a stack Cohomology of a stack Quotient stack Sheaf...
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becoming the eighth-highest-grossing film of 2025. In 1932, identical twins and World War I veterans Smoke and Stack Moore return to Clarksdale, Mississippi...
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to the variety X {\displaystyle X} . Chow group of a stack Pandharipande, R.; Thomas, R. P. (2014). "13/2 ways of counting curves". In Brambila-Paz, Leticia;...
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Moduli space (redirect from Moduli stack)
geometry, a moduli space is a geometric space (usually a scheme or an algebraic stack) whose points represent algebro-geometric objects of some fixed...
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a moduli space of (algebraic) curves is a geometric space (typically a scheme or an algebraic stack) whose points represent isomorphism classes of algebraic...
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Mahjong (section Stacking tiles)
Melds are groups of tiles within the player's hand, consisting of either a pung (three identical tiles), a kong (four identical tiles), a chow (three suited...
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Andrew Kresch (category Academic staff of the University of Zurich)
University of Chicago in 1998 under the supervision of William Fulton on Chow Homology for Artin Stacks. He was lecturer at the University of Warwick and...
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Derived algebraic geometry (section Higher stacks)
product of any two schemes is isomorphic to a scheme. If we take the ansatz that a 0-stack is just an algebraic space and a 1-stack is just a stack, we can...
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s^{*}L} of L along s has degree r as an invertible sheaf over the fiber Xs (when the degree is defined for the Picard group of Xs.) Sheaf cohomology Chow variety...
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Three-player mahjong (section Chow)
stack a row of 14 tiles, South and North stack a row of 13 tiles. One of the three players also stacks the North wall. Players then push each side of...
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used if D is a Cartier divisor on a complete variety over k. [X/G] The quotient stack of, say, an algebraic space X by an action of a group scheme G. X...
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Grothendieck–Riemann–Roch theorem (category Topological methods of algebraic geometry)
this formula to deduce relationships of the Chow ring on the moduli space of algebraic curves. For the moduli stack of genus g {\displaystyle g} curves (and...
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Divisor (algebraic geometry) (redirect from Divisor class group)
class group is the group of divisors modulo linear equivalence. For a variety X of dimension n over a field, the divisor class group is a Chow group; namely...
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Intermediate representation (redirect from List of intermediate languages)
target language. An IR may take one of several forms: an in-memory data structure, or a special tuple- or stack-based code readable by the program. In...
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ChatGPT (category CS1 maint: DOI inactive as of June 2025)
question-and-answer website Stack Overflow banned the use of ChatGPT for generating answers to questions, citing the factually ambiguous nature of its responses. In...
200 KB (17,164 words) - 05:47, 4 June 2025
Béla Károlyi (category American people of Hungarian-Romanian descent)
August, Károlyi's gymnasts earned 5 of the top 8 spots. The five gymnasts were Phoebe Mills, Brandy Johnson, Chelle Stack, and the two team alternates Rhonda...
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Riemann–Roch-type theorem (redirect from Riemann–Roch formula for stacks)
Grothendieck group of coherent sheaves on X, A ∗ ( X ) {\displaystyle A_{*}(X)} is the rational Chow group of X, for each proper morphism f, G ∗ ( f ) , A ∗ (...
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Intersection theory Intersection number Chow ring Chern class Serre's multiplicity conjectures Albanese variety Picard group Modular form Moduli space Modular...
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Appalachian cuisine (redirect from History of Appalachian cuisine)
Greasy beans kidney beans Soup beans Shucky beans, or "leather britches" chow-chow cucumber relish green tomato pickle iceberg green tomato pickle icebox...
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Aide Who Helped Gut CFPB Was Warned About Potential Conflicts of Interest". ProPublica. Chow, Andrew R. (March 19, 2025). "Cybersecurity Experts Are Sounding...
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Hilbert scheme (redirect from Hilbert-Chow morphism)
refining the Chow variety. The Hilbert scheme is a disjoint union of projective subschemes corresponding to Hilbert polynomials. The basic theory of Hilbert...
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at the end of the episode "627" in pod form), 629/Leroy (who wasn't officially numbered 629 until 2020 through a special one-off chapter of the manga Stitch...
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{N}}_{X}=BT_{X}} is the classifying stack of the tangent bundle T X {\displaystyle T_{X}} , which is a commutative group scheme over X {\displaystyle X} ...
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of his lieutenants. He dies while moving No-Doze's body from under a stack of cars in a junkyard, intending to give him a Christian burial; the stack...
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DeepSeek (section Overview of models)
Initialize with a previously pretrained DeepSeek-Coder Base v1.5 7B. Further pretrain with 500B tokens (6% DeepSeekMath Corpus, 4% AlgebraicStack, 10% arXiv...
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