Deformations of sheaves of algebras
Algebraic Geometry
2009-09-29 v2 Quantum Algebra
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.
Keywords
Cite
@article{arxiv.math/0310116,
title = {Deformations of sheaves of algebras},
author = {Vladimir Hinich},
journal= {arXiv preprint arXiv:math/0310116},
year = {2009}
}
Comments
57 pages, references added