Deformations of sheaves of algebras

Vladimir Hinich

doi:10.1016/j.aim.2004.07.007

Deformations of sheaves of algebras

Vladimir Hinich

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

A construction of the tangent dg Lie algebra of a sheaf of operad algebras on a site is presented. The requirements on the site are very mild; the requirements on the algebra are more substantial. A few applications including the description of deformations of a scheme and equivariant deformations are considered. The construction is based upon a model structure on the category of presheaves which should be of an independent interest.

Original language	English
Pages (from-to)	102-164
Number of pages	63
Journal	Advances in Mathematics
Volume	195
Issue number	1
DOIs	https://doi.org/10.1016/j.aim.2004.07.007
State	Published - 1 Aug 2005

Keywords

Dwyer-Kan localization
Formal deformations
Model category
Presheaves of algebras

ASJC Scopus subject areas

General Mathematics

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10.1016/j.aim.2004.07.007

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abstract = "A construction of the tangent dg Lie algebra of a sheaf of operad algebras on a site is presented. The requirements on the site are very mild; the requirements on the algebra are more substantial. A few applications including the description of deformations of a scheme and equivariant deformations are considered. The construction is based upon a model structure on the category of presheaves which should be of an independent interest.",

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AB - A construction of the tangent dg Lie algebra of a sheaf of operad algebras on a site is presented. The requirements on the site are very mild; the requirements on the algebra are more substantial. A few applications including the description of deformations of a scheme and equivariant deformations are considered. The construction is based upon a model structure on the category of presheaves which should be of an independent interest.

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KW - Formal deformations

KW - Model category

KW - Presheaves of algebras

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DO - 10.1016/j.aim.2004.07.007

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Deformations of sheaves of algebras

Abstract

Keywords

ASJC Scopus subject areas

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