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 language | English |
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Pages (from-to) | 318-330 |
Number of pages | 13 |
Journal | Advances in Mathematics |
Volume | 222 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2009 Sep 10 |
Keywords
- D-module
- F-blowup
- Noncommutative resolution
- Positive characteristic
- Singularity
ASJC Scopus subject areas
- Mathematics(all)