Deformations of algebraic subvarieties

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.

16 pages.

Cited by in corpus (2)

• Deformations and obstructions of pairs (X,D)
• Semiregularity and obstructions of complete intersections