A surprising fact about D-modules in characteristic p>0

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dc.creatorMontaner, Josep Alvarez
dc.creatorLyubeznik, Gennady
dc.date2004-07-27
dc.date.accessioned2026-07-07T05:10:44Z
dc.date.available2026-07-07T05:10:44Z
dc.descriptionLet R=k[x_1,...,x_d] be the polynomial ring in d independent variables, where k is a field of characteristic p>0. Let D be the ring of k-linear differential operators of R and let f be a polynomial in R. In this work we prove that the localization R[1/f] obtained from R by inverting f is generated as a D-module by 1/f. This is an amazing fact considering that the corresponding characteristic zero statement is very false.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math/0407464
dc.identifierhttp://arxiv.org/abs/math/0407464
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72022
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13N10, 13B30
dc.titleA surprising fact about D-modules in characteristic p>0
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