Cohomology of a stack - Wikipedia en.wikipedia.org › wiki › Cohomology_of_a_stack
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10 févr. 2016 · We prove that if X is a separated algebraic space of finite type over k endowed with an action of a k-algebraic group G, the equivariant étale ...
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Let G be a linear algebraic group, and K⊂G a closed normal subgroup with quotient L=G/K. So all three groups are linear algebraic. Cohomology of quotient by free action homology and cohomology of a quotient manifold Stack cohomology vs cohomology of the quotient Cohomology of quotient space Autres résultats sur mathoverflow.net
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Abstract. We construct the de Rham cohomology of differentiable stacks via a double com- plex associated to any Lie groupoid presenting the stack.
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073Q In this chapter we write about cohomology of algebraic stacks. This means in ... quotient functor is a key feature of the situation.
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17 déc. 2019 · See here for discrete groups, the case I am familiar with: Singular cohomology of a quotient stack is isomorphic to the equivariant ... De Rham cohomology of a quotient manifold - Math Stack Exchange Quotient and Cohomology - Mathematics Stack Exchange Relative Cohomology Isomorphic to Cohomology of Quotient Quotient spaces and equivariant cohomology - Math Stack Exchange Autres résultats sur math.stackexchange.com
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Quotient stacks and equivariant étale cohomology algebras: Quillen's theory revisited. Luc Illusie. Weizhe Zheng. To the memory of Daniel Quillen. Abstract.
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(X/R), as the Hodge or de Rham cohomology of the quotient stack [X/G]. Essentially the same definition was used for smooth stacks in characteristic zero by.
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Quotient stacks and equivariant \'etale cohomology algebras: Quillen's theory revisited. 10 Feb 2016 · Illusie Luc, Zheng Weizhe · Edit social preview.
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Download Citation | Quotient stacks and equivariant \'etale cohomology algebras: Quillen's theory revisited | Let k be an algebraically closed field.
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One key ingredient in our proof of the structure theorem is an analysis of specialization of points of the quotient stack. We also discuss variants and ...
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18 avr. 2017 · We compute the Hodge and de Rham cohomology of the classifying space BG ... There is a “quotient stack” [X/G] for any action of an algebraic ...
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... With these points in mind we now state our main general result on stacks arising as global quotients (Theorem 4.9 in Section 4). We refer to Section 2.2 for ...
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for such quotient stacks, taking into account the multiplicative structure. ... hand of a global quotient orbifold [X/G], the Hochschild cohomology controls ...
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A natural question is to determine which algebraic stacks are quotient ... that the cohomological Brauer group may differ from the full cohomology group.
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