Jacobi-Bernoulli cohomology and deformations of schemes and maps
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cohomologyjacobi-bernoullideformationsselaalgebraalgebraicassociatedconstruct
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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 $\t_X$ and show that the Jacobi-Bernoulli cohomology of $\t_X$ is related to infinitesimal deformations of $X$.
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