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Deformations of sheaves of algebras

Vladimir Hinich
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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 deformatins 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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Vladimir Hinich. 2003-10-12. Deformations of sheaves of algebras. https://arxiv.org/abs/math/0310116

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