The deformation theory of sheaves of commutative rings

Details The deformation theory of sheaves of commutative rings The deformation theory of sheaves of commutative rings

2011-01-21

arxiv.org/abs/1101.4069v3

Mathematics

Algebraic Geometry

15 pages; one section added to clarify some arguments

Scientific paper

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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