Jacobi-Bernoulli cohomology and deformations of schemes and maps

Ziv Ran

Displaying similar documents to “Jacobi-Bernoulli cohomology and deformations of schemes and maps”

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.

Vanishing of Hochschild cohomology for affine group schemes and rigidity of homomorphisms between algebraic groups.

Margaux, Benedictus (2009)

Documenta Mathematica

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Duality for the de Rham cohomology of an abelian scheme

Robert F. Coleman (1998)

Annales de l'institut Fourier

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In this paper the equality is established of three different pairings between the first de Rham cohomology group of an abelian scheme over a base flat over $ℤ$ and that of its dual. These pairings have appeared and been used either explicitly or implicitly in the literature. In the last section we deduce a generalization to arbitrary characteristic of Serre’s formula for the Poincaré pairing on the first de Rham cohomology group of a curve over a field of characteristic zero. ...