Deformations of algebraic subvarieties

Mathematics – Algebraic Geometry

Scientific paper

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16 pages.

Scientific paper

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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