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arxiv: 1101.4069 · v3 · pith:47XFWXSYnew · submitted 2011-01-21 · 🧮 math.AG · math.AC

The deformation theory of sheaves of commutative rings

classification 🧮 math.AG math.AC
keywords deformationsheafabelianarisebandedclassescohomologycommutative
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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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