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arxiv: 1003.3333 · v1 · pith:V7IXFIIZnew · submitted 2010-03-17 · 🧮 math.AG

Deformations of algebraic subvarieties

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keywords closeddeformationsproblemalgebraalgebraicalgebraicallycharacteristicclassical
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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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