Matrix factorizations and singularity categories for stacks
Algebraic Geometry
2010-11-23 v1
Abstract
We study matrix factorizations of a section W of a line bundle on an algebraic stack. We relate the corresponding derived category (the category of D-branes of type B in the Landau-Ginzburg model with potential W) with the singularity category of the zero locus of W generalizing a theorem of Orlov. We use this result to construct push-forward functors for matrix factorizations with relatively proper support.
Cite
@article{arxiv.1011.4544,
title = {Matrix factorizations and singularity categories for stacks},
author = {Alexander Polishchuk and Arkady Vaintrob},
journal= {arXiv preprint arXiv:1011.4544},
year = {2010}
}
Comments
29 pages