D-module generation in positive characteristic via Frobenius descent

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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.
6 pages

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Commutative Algebra, Algebraic Geometry, 13N10, 13N30

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http://salesiana.dossiersoluciones.com/handle/123456789/72147

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0408124
 http://arxiv.org/abs/math/0408124

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arXiv