Displaying similar documents to “The relative Riemann-Roch theorem from Hochschild homology.”

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.

Jacobi-Bernoulli cohomology and deformations of schemes and maps

Ziv Ran (2012)

Open Mathematics

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We introduce a notion of Jacobi-Bernoulli cohomology associated to a semi-simplicial Lie algebra (SELA). For an algebraic scheme X over ℂ, we construct a tangent SELA J X and show that the Jacobi-Bernoulli cohomology of J X is related to infinitesimal deformations of X.