Noncommutative resolution, F-blowups and D-modules

Fuente: arXiv
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Autori principali: Toda, Yukinobu, Yasuda, Takehiko
Natura: Preprint
Pubblicazione: 2008
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author Toda, Yukinobu
Yasuda, Takehiko
author_facet Toda, Yukinobu
Yasuda, Takehiko
contents We explain the isomorphism between the $G$-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 $D$-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.
format Preprint
id arxiv_https___arxiv_org_abs_0810_1804
institution arXiv
publishDate 2008
record_format arxiv
spellingShingle Noncommutative resolution, F-blowups and D-modules
Toda, Yukinobu
Yasuda, Takehiko
Algebraic Geometry
14B05, 14E15
We explain the isomorphism between the $G$-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 $D$-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.
title Noncommutative resolution, F-blowups and D-modules
topic Algebraic Geometry
14B05, 14E15
url https://arxiv.org/abs/0810.1804