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The deformation theory of sheaves of commutative rings

2011/01/21 by Jonathan Wise, Wise, Jonathan · 1 citation
Mathematics · #14F20 #18F10 #18F20 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AC #math.AG #msc:14F20 #msc:18F10 #msc:18F20

paper · pdf · doi:10.48550/arxiv.1101.4069

15 pages; one section added to clarify some arguments

openalex publication_date 2011/01/21 · arxiv created 2011/07/12 · arxiv updated 2011/07/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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