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A surprising fact about D-modules in characteristic p>0
| dc.contributor.author | Álvarez Montaner, Josep |
| dc.contributor.author | Planas Vilanova, Francesc d'Assís |
| dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
| dc.date.accessioned | 2021-03-09T11:02:44Z |
| dc.date.available | 2021-03-09T11:02:44Z |
| dc.date.issued | 2004 |
| dc.identifier.citation | Alvarez, J.; Planas-Vilanova, F.A. A surprising fact about D-modules in characteristic p>0. 2004. |
| dc.identifier.uri | http://hdl.handle.net/2117/341260 |
| dc.description.abstract | Let R = k[x1, . . . , xd] be the polynomial ring in d independent variables, where k is a field of characteristic p > 0. Let DR 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 DR-module by 1 f . This is an amazing fact considering that the corresponding characteristic zero statement is very false. |
| dc.format.extent | 8 p. |
| dc.language.iso | eng |
| dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
| dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
| dc.subject.lcsh | D-modules |
| dc.title | A surprising fact about D-modules in characteristic p>0 |
| dc.type | External research report |
| dc.subject.lemac | D-mòduls |
| dc.contributor.group | Universitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions |
| dc.relation.publisherversion | https://arxiv.org/abs/math/0407464 |
| dc.rights.access | Open Access |
| local.identifier.drac | 30621189 |
| dc.description.version | Preprint |
| local.citation.author | Alvarez, J.; Planas-Vilanova, F. A. |
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