dc.creator | Castro Jiménez, Francisco Jesús | es |
dc.creator | Granger, Michel | es |
dc.date.accessioned | 2016-09-06T11:20:25Z | |
dc.date.available | 2016-09-06T11:20:25Z | |
dc.date.issued | 2007 | |
dc.identifier.citation | Castro Jiménez, F.J. y Granger, M. (2007). A flatness property for filtered D-modules. Publications of the Research Institute for Mathematical Sciences, 43, 121-141. | |
dc.identifier.issn | 0034-5318 | es |
dc.identifier.issn | 1663-4926 | es |
dc.identifier.uri | http://hdl.handle.net/11441/44731 | |
dc.description.abstract | Let M be a coherent module over the ring DX of linear differential operators on an analytic manifold X and let Z1, · · · , Zk be k germs of transverse hypersurfaces at a point x ∈ X. The Malgrange-Kashiwara V-filtrations along these hypersurfaces, associated with a given presentation of the germ of M at x, give rise to a multifiltration U•(M) of Mx as in Sabbah’s paper [9] C. Sabbah, Proximité evanescente I. La structure polaire d’un D–module Compositio Math. 62 (1987) 283-319 and to an analytic standard fan in a way similar to [3] A. Assi., F. Castro-Jiménez and M. Granger, The analytic standard fan of a D-module, J. Pure Appl. Algebra 164 (2001) 3-21. We prove here that this standard fan is adapted to the multifiltration, in the sense of C. Sabbah. This result completes the proof of the existence of an adapted fan in [9] C. Sabbah, Proximité evanescente I. La structure polaire d’un D–module Compositio Math. 62 (1987) 283-319, for which the use of [8] C. Sabbah and F. Castro, Appendice à “proximité evanescente” I. La structure polaire d’un D–module, Compositio Math. 62 (1987) 320-328. is not possible. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | European Mathematical Society | es |
dc.relation.ispartof | Publications of the Research Institute for Mathematical Sciences, 43, 121-141. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | A flatness property for filtered D-modules | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Álgebra | |
dc.relation.publisherversion | http://www.kurims.kyoto-u.ac.jp/~prims/pdf/43-1/43-1-6.pdf | es |
dc.contributor.group | Universidad de Sevilla. FQM333: Algebra Computacional en Anillos no Conmutativos y Aplicaciones | es |
idus.format.extent | 14 p. | es |
dc.journaltitle | Publications of the Research Institute for Mathematical Sciences | es |
dc.publication.volumen | 43 | es |
dc.publication.initialPage | 121 | es |
dc.publication.endPage | 141 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/44731 | |