On contravariant functors from the category of preschemes over a field into the category of abelian groups
Jaap P. Murre (1964)
Publications Mathématiques de l'IHÉS
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Jaap P. Murre (1964)
Publications Mathématiques de l'IHÉS
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Frans Oort (1971)
Compositio Mathematica
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Sebastián del Baño Rollin, Vicente Navarro Aznar (1998)
Collectanea Mathematica
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We show that the motive of the quotient of a scheme by a finite group coincides with the invariant submotive.
Mikhail Kapranov, Eric Vasserot (2004)
Publications Mathématiques de l'IHÉS
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We construct a certain algebro-geometric version of the free loop space for a complex algebraic variety X. This is an ind-scheme containing the scheme 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 supported in . We also show that possesses a factorization structure: a certain non-linear version of a vertex algebra structure. This explains...
Panin, Ivan, Zainoulline, Kirill (2003)
Documenta Mathematica
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J. Franke (1990)
Compositio Mathematica
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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. ...