D-module generation in positive characteristic via Frobenius descent
Commutative Algebra
2007-05-23 v1 Algebraic Geometry
Abstract
In this short note I give an alternative proof of a generalization of the result in math.AC/0407464. Namely I show that for most regular rings R, the localization R[1/f] at an element f of R is generated as a module over the ring of differential operators of R by 1/f itself. Due to the greater generality this answers some questions raised in math.AC/0407464. Some further generalizations and a brief discussion of the main technique (Frobenius descent) are also included.
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Cite
@article{arxiv.math/0408124,
title = {D-module generation in positive characteristic via Frobenius descent},
author = {Manuel Blickle},
journal= {arXiv preprint arXiv:math/0408124},
year = {2007}
}
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6 pages