Bernoulli numbers and deformations of schemes and maps

Details Bernoulli numbers and deformations of schemes and maps Bernoulli numbers and deformations of schemes and maps

2006-09-08

arxiv.org/abs/math/0609223v1

Mathematics

Algebraic Geometry

Scientific paper

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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