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The deformation theory of sheaves of commutative rings

Published 21 Jan 2011 in math.AG and math.AC | (1101.4069v3)

Abstract: We define a sheaf of abelian groups whose cohomology is represented by the cotangent complex. We show how obstructions to some standard deformation problems arise as the classes of torsors under and gerbes banded by this sheaf.

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