Complete intersections and equivalences with categories of matrix factorizations
Commutative Algebra
2015-09-15 v1 Category Theory
K-Theory and Homology
Abstract
We prove that one can realize certain triangulated subcategories of the singularity category of a complete intersection as homotopy categories of matrix factorizations. Moreover, we prove that for any commutative ring and non-zerodivisor, the homotopy category of matrix factorizations embeds into the homotopy category of totally acyclic complexes of finitely generated projective modules over the factor ring.
Cite
@article{arxiv.1509.04204,
title = {Complete intersections and equivalences with categories of matrix factorizations},
author = {Petter Andreas Bergh and David A. Jorgensen},
journal= {arXiv preprint arXiv:1509.04204},
year = {2015}
}
Comments
14 pages