Noncommutative resolution, F-blowups and D-modules
Algebraic Geometry
2024-02-27 v2
Abstract
We explain the isomorphism between the -Hilbert scheme and the F-blowup from the noncommutative viewpoint after Van den Bergh. In doing this, we immediately and naturally arrive at the notion of -modules. We also find, as a byproduct, a canonical way to construct a noncommutative resolution at least for a few classes of singularities in positive characteristic.
Keywords
Cite
@article{arxiv.0810.1804,
title = {Noncommutative resolution, F-blowups and D-modules},
author = {Yukinobu Toda and Takehiko Yasuda},
journal= {arXiv preprint arXiv:0810.1804},
year = {2024}
}
Comments
14 pages, v.2: to appear in Adv. Math