Algebroid prestacks and deformations of ringed spaces

Details Algebroid prestacks and deformations of ringed spaces Algebroid prestacks and deformations of ringed spaces

2005-11-08

arxiv.org/abs/math/0511197v2

Mathematics

Algebraic Geometry

29 pages

Scientific paper

For a ringed space (X,O), we show that the deformations of the abelian category Mod(O) of sheaves of O-modules are obtained from algebroid prestacks, as introduced by Kontsevich. In case X is a quasi-compact separated scheme the same is true for Qch(O), the category of quasi-coherent sheaves on X. It follows in particular that there is a deformation equivalence between Mod(O) and Qch(O).

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