Minors and resolutions of non-commutative schemes
Algebraic Geometry
2022-07-27 v2 Category Theory
Abstract
In this article we develop the theory of minors of non-commutative schemes. This study is motivated by applications in the theory of non-commutative resolutions of singularities of commutative schemes. In particular, we construct a categorical resolution for non-commutative curves and in the rational case show that it can be realized as the derived category of a quasi-hereditary algebra.
Keywords
Cite
@article{arxiv.1501.06023,
title = {Minors and resolutions of non-commutative schemes},
author = {Igor Burban and Yuriy Drozd and Volodymyr Gavran},
journal= {arXiv preprint arXiv:1501.06023},
year = {2022}
}
Comments
31 pages, revised and extended version