English

Bernoulli numbers and deformations of schemes and maps

Algebraic Geometry 2007-05-23 v1

Abstract

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

Keywords

Cite

@article{arxiv.math/0609223,
  title  = {Bernoulli numbers and deformations of schemes and maps},
  author = {Ziv Ran},
  journal= {arXiv preprint arXiv:math/0609223},
  year   = {2007}
}