In 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 , the Chow group of X is the same as the G-equivariant Chow group of Y.
A key difference from the theory of Chow groups of a variety is that a cycle is allowed to carry non-trivial automorphisms and consequently intersection-theoretic operations must take this into account. For example, the degree of a 0-cycle on a stack need not be an integer but is a rational number (due to non-trivial stabilizers).
and 21 Related for: Chow group of a stack information
algebraic geometry, the Chowgroupofastack is a generalization of the Chowgroupofa variety or scheme to stacks. For a quotient stack X = [ Y / G ] {\displaystyle...
the Chowgroups (named after Wei-Liang Chow by Claude Chevalley (1958)) of an algebraic variety over any field are algebro-geometric analogs of the homology...
Chowgroupofastack?), the definition extends to moduli stacks such as the moduli stackof stable sheaves (the Donaldson–Thomas theory) or that of stable...
cohomology ofastack is a generalization of étale cohomology. In a sense, it is a theory that is coarser than the Chowgroupofastack. The cohomology ofa quotient...
flat of finite presentation, the stack B G {\displaystyle BG} is algebraictheorem 6.1. Gerbe Chowgroupofastack Cohomology ofastack Quotient stack Sheaf...
Melds are groupsof tiles within the player's hand, consisting of either a pong (three identical tiles), a kong (four identical tiles), achow (three suited...
to the variety X {\displaystyle X} . Chowgroupofastack Pandharipande, R.; Thomas, R. P. (2014). "13/2 ways of counting curves". In Brambila-Paz, Leticia;...
geometry, a moduli space is a geometric space (usually a scheme or an algebraic stack) whose points represent algebro-geometric objects of some fixed...
a moduli space of (algebraic) curves is a geometric space (typically a scheme or an algebraic stack) whose points represent isomorphism classes of algebraic...
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 groupof Xs.) Sheaf cohomology Chow variety...
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 astack, we can...
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...
episode focuses on a certain type of restaurant, such as "Diners", "Bars", "Drive-Thrus" or "Breakfast" places that people go to find a certain food specialty...
Intersection theory Intersection number Chow ring Chern class Serre's multiplicity conjectures Albanese variety Picard group Modular form Moduli space Modular...
This is an episode list of the popular science television program Time Warp, which aired on the Discovery Channel. "Time Warp : Episode Guide : Discovery...
used if D is a Cartier divisor on a complete variety over k. [X/G] The quotient stackof, say, an algebraic space X by an action ofagroup scheme G. X...
This is a list of American films released in 2008. The highest-grossing American films released in 2008, by domestic box office gross revenue, are as...
This is a list of American films released in 1998. The highest-grossing American films released in 1998, by domestic box office gross revenue, are as...
episode focuses on a certain type of restaurant, such as "Diners", "Bars", "Drive-Thrus" or "Breakfast" places that people go to find a certain food specialty...
Global Information![{\displaystyle X=[Y/G]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/b32a8e64d11248e98a57c53de5cb5397ef8c2a92)