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Deformations of algebraic subvarieties
Published 17 Mar 2010 in math.AG | (1003.3333v1)
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.
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