Noncommutative resolution, F-blowups and D-modules

Yukinobu Toda, Takehiko Yasuda

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)318-330
Number of pages13
JournalAdvances in Mathematics
Volume222
Issue number1
DOIs
Publication statusPublished - 2009 Sep 10

Keywords

  • D-module
  • F-blowup
  • Noncommutative resolution
  • Positive characteristic
  • Singularity

ASJC Scopus subject areas

  • Mathematics(all)

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