English

Deformations of algebraic subvarieties

Algebraic Geometry 2011-12-09 v1

Abstract

In this paper, we use (bi)semicosimplicial language to study the classical problem of infinitesimal deformations of a closed subscheme in a fixed smooth variety, defined over an algebraically closed field of characteristic 0. In particular, we give an explicit description of the differential graded Lie algebra controlling this problem.

Keywords

Cite

@article{arxiv.1003.3333,
  title  = {Deformations of algebraic subvarieties},
  author = {Donatella Iacono},
  journal= {arXiv preprint arXiv:1003.3333},
  year   = {2011}
}

Comments

16 pages.

R2 v1 2026-06-21T14:58:50.288Z