Displaying similar documents to “On the Γ -factors of motives. II.”

Nonabelian Hodge theory in characteristic p

A. Ogus, V. Vologodsky (2007)

Publications Mathématiques de l'IHÉS

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Given a scheme in characteristic together with a lifting modulo , we construct a functor from a category of suitably nilpotent modules with connection to the category of Higgs modules. We use this functor to generalize the decomposition theorem of Deligne-Illusie to the case of de Rham cohomology with coefficients.

Higher order invariants in the case of compact quotients

Anton Deitmar (2011)

Open Mathematics

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We present the theory of higher order invariants and higher order automorphic forms in the simplest case, that of a compact quotient. In this case, many things simplify and we are thus able to prove a more precise structure theorem than in the general case.

On equivalences of derived and singular categories

Vladimir Baranovsky, Jeremy Pecharich (2010)

Open Mathematics

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Let X and Y be two smooth Deligne-Mumford stacks and consider a pair of functions f: X → 𝔸 1 , g:Y → 𝔸 1 . Assuming that there exists a complex of sheaves on X × 𝔸 1 Y which induces an equivalence of D b(X) and D b(Y), we show that there is also an equivalence of the singular derived categories of the fibers f −1(0) and g −1(0). We apply this statement in the setting of McKay correspondence, and generalize a theorem of Orlov on the derived category of a Calabi-Yau hypersurface in a weighted...