Tame stacks in positive characteristic

Dan Abramovich; Martin Olsson; Angelo Vistoli

Displaying similar documents to “Tame stacks in positive characteristic”

Brauer groups of abelian schemes

Raymond T. Hoobler (1972)

Annales scientifiques de l'École Normale Supérieure

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Duality theories for $p$ -primary etale cohomology II

Kazuya Kato (1987)

Compositio 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...