D-module generation in positive characteristic via Frobenius descent

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dc.creatorBlickle, Manuel
dc.date2004-08-09
dc.date.accessioned2026-07-07T05:11:09Z
dc.date.available2026-07-07T05:11:09Z
dc.descriptionIn 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.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/math/0408124
dc.identifierhttp://arxiv.org/abs/math/0408124
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72147
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13N10, 13N30
dc.titleD-module generation in positive characteristic via Frobenius descent
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