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.
@article{bwmeta1.element.doi-10_2478_s11533-012-0006-x,
author = {Ziv Ran},
title = {Jacobi-Bernoulli cohomology and deformations of schemes and maps},
journal = {Open Mathematics},
volume = {10},
year = {2012},
pages = {1541-1591},
zbl = {1279.14013},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0006-x}
}
Ziv Ran. Jacobi-Bernoulli cohomology and deformations of schemes and maps. Open Mathematics, Tome 10 (2012) pp. 1541-1591. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0006-x/
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