Algebroid prestacks and deformations of ringed spaces
Algebraic Geometry
2007-05-23 v2
Abstract
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).
Cite
@article{arxiv.math/0511197,
title = {Algebroid prestacks and deformations of ringed spaces},
author = {Wendy Lowen},
journal= {arXiv preprint arXiv:math/0511197},
year = {2007}
}
Comments
29 pages