Deformations of sheaves of algebras

Details Deformations of sheaves of algebras Deformations of sheaves of algebras

2003-10-08

arxiv.org/abs/math/0310116v2

Mathematics

Algebraic Geometry

57 pages, references added

Scientific paper

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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