Noncommutative resolution, F-blowups and D-modules

Details Noncommutative resolution, F-blowups and D-modules Noncommutative resolution, F-blowups and D-modules

2008-10-10

arxiv.org/abs/0810.1804v2

Mathematics

Algebraic Geometry

14 pages, v.2: to appear in Adv. Math

Scientific paper

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.

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