Deformations of sheaves of algebras

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)102-164
Number of pages63
JournalAdvances in Mathematics
Volume195
Issue number1
DOIs
StatePublished - 1 Aug 2005

Keywords

  • Dwyer-Kan localization
  • Formal deformations
  • Model category
  • Presheaves of algebras

ASJC Scopus subject areas

  • Mathematics (all)

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