# Jacobi-Bernoulli cohomology and deformations of schemes and maps

Open Mathematics (2012)

- Volume: 10, Issue: 4, page 1541-1591
- ISSN: 2391-5455

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topZiv Ran. "Jacobi-Bernoulli cohomology and deformations of schemes and maps." Open Mathematics 10.4 (2012): 1541-1591. <http://eudml.org/doc/269349>.

@article{ZivRan2012,

abstract = {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.},

author = {Ziv Ran},

journal = {Open Mathematics},

keywords = {Deformations; Schemes; Lie algebras; Bernoulli numbers; Cohomology; deformations; semi simplicial Lie algebra; SELA; Jacobi-Bernoulli complex; Baker-Campbell-Hausdorff formula; BCH polynomial; normal algebra; normal atom; tangent atom; Ischebeck's theorem},

language = {eng},

number = {4},

pages = {1541-1591},

title = {Jacobi-Bernoulli cohomology and deformations of schemes and maps},

url = {http://eudml.org/doc/269349},

volume = {10},

year = {2012},

}

TY - JOUR

AU - Ziv Ran

TI - Jacobi-Bernoulli cohomology and deformations of schemes and maps

JO - Open Mathematics

PY - 2012

VL - 10

IS - 4

SP - 1541

EP - 1591

AB - 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.

LA - eng

KW - Deformations; Schemes; Lie algebras; Bernoulli numbers; Cohomology; deformations; semi simplicial Lie algebra; SELA; Jacobi-Bernoulli complex; Baker-Campbell-Hausdorff formula; BCH polynomial; normal algebra; normal atom; tangent atom; Ischebeck's theorem

UR - http://eudml.org/doc/269349

ER -

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