Categorical resolutions of irrational singularities
Algebraic Geometry
2018-09-10 v1
Abstract
We show that the derived category of any singularity over a field of characteristic 0 can be embedded fully and faithfully into a smooth triangulated category which has a semiorthogonal decomposition with components equivalent to derived categories of smooth varieties. This provides a categorical resolution of the singularity.
Keywords
Cite
@article{arxiv.1212.6170,
title = {Categorical resolutions of irrational singularities},
author = {Alexander Kuznetsov and Valery A. Lunts},
journal= {arXiv preprint arXiv:1212.6170},
year = {2018}
}
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71 pages