Duality theories for $p$-primary etale cohomology II

Kazuya Kato

Displaying similar documents to “Duality theories for $p$ -primary etale cohomology II”

Variations on the Bloch-Ogus theorem.

Panin, Ivan, Zainoulline, Kirill (2003)

Documenta Mathematica

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Vertex algebras and the formal loop space

Mikhail Kapranov, Eric Vasserot (2004)

Publications Mathématiques de l'IHÉS

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We construct a certain algebro-geometric version $ℒ (X)$ of the free loop space for a complex algebraic variety X. This is an ind-scheme containing the scheme $ℒ^{0} (X)$ of formal arcs in X as studied by Kontsevich and Denef-Loeser. We describe the chiral de Rham complex of Malikov, Schechtman and Vaintrob in terms of the space of formal distributions on $ℒ (X)$ supported in $ℒ^{0} (X)$ . We also show that $ℒ (X)$ possesses a factorization structure: a certain non-linear version of a vertex algebra structure. This explains...

Tame stacks in positive characteristic

Dan Abramovich, Martin Olsson, Angelo Vistoli (2008)

Annales de l’institut Fourier

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We introduce and study a class of algebraic stacks with finite inertia in positive and mixed characteristic, which we call tame algebraic stacks. They include tame Deligne-Mumford stacks, and are arguably better behaved than general Deligne-Mumford stacks. We also give a complete characterization of finite flat linearly reductive schemes over an arbitrary base. Our main result is that tame algebraic stacks are étale locally quotient by actions of linearly reductive finite group schemes. ...