Tamagawa numbers for motives with (non-commutative) coefficients.
Burns, D., Flach, M. (2001)
Documenta Mathematica
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Burns, D., Flach, M. (2001)
Documenta Mathematica
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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.
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.
Ogus, Arthur (2003)
Documenta Mathematica
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Pramathanath Sastry (1996)
Compositio Mathematica
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Guillot, Pierre (2007)
Documenta Mathematica
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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 → , g:Y → . Assuming that there exists a complex of sheaves on X × 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...
Alexandru Dimca, Morihiko Saito (1993)
Compositio Mathematica
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Morihiko Saito (1991)
Bulletin de la Société Mathématique de France
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Tonin, F. (1999)
Portugaliae Mathematica
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