Duality for bounded derived categories of complete intersections
Commutative Algebra
2017-05-17 v2 Algebraic Geometry
Category Theory
Abstract
We show that every thick subcategory of the singularity category of a complete intersection ring is self dual. We also prove the analogous statement for thick subcategories of the bounded derived category and give applications to the symmetry of vanishing of cohomology. These results are also proved for certain complete intersection schemes.
Cite
@article{arxiv.1206.2724,
title = {Duality for bounded derived categories of complete intersections},
author = {Greg Stevenson},
journal= {arXiv preprint arXiv:1206.2724},
year = {2017}
}
Comments
12 pages, comments welcome - minor corrections and added a few details