dc.creator | Castro Jiménez, Francisco Jesús | es |
dc.creator | Ucha Enríquez, José María | es |
dc.date.accessioned | 2020-02-25T10:13:35Z | |
dc.date.available | 2020-02-25T10:13:35Z | |
dc.date.issued | 2006 | |
dc.identifier.citation | Castro Jiménez, F.J. y Ucha Enríquez, J.M. (2006). Gröbner bases and logarithmic D-modules. Journal of Symbolic Computation, 41 (3-4), 317-335. | |
dc.identifier.issn | 0747-7171 | es |
dc.identifier.uri | https://hdl.handle.net/11441/93582 | |
dc.description.abstract | Let C[x] = C[x1, . . . , xn] be the ring of polynomials with complex coefficients and An the Weyl
algebra of order n over C. Elements in An are linear differential operators with polynomial coefficients.
For each polynomial f , the ring M = C[x] f of rational functions with poles along f has a natural structure of
a
left An-module which is finitely generated by a classical result of I.N. Bernstein. A central problem in this
context is how to find a finite presentation of M starting from the input f . In this paper we use Gr¨obner
base theory in the non-commutative frame of the ring An to compare M to some other An-modules arising
in Singularity Theory as the so-called logarithmic An-modules. We also show how the analytic case can be
treated with computations in the Weyl algebra if the input data f is a polynomial. | es |
dc.description.sponsorship | Ministerio de Ciencia y Tecnología BFM2001-3164 | es |
dc.description.sponsorship | Ministerio de Ciencia y Tecnología MTM2004-01165 | es |
dc.description.sponsorship | Junta de Andalucía FQM-333 | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Journal of Symbolic Computation, 41 (3-4), 317-335. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Gröbner bases | es |
dc.subject | Weyl algebra | es |
dc.subject | D-Modules | es |
dc.subject | Free divisors | es |
dc.subject | Spencer divisors | es |
dc.title | Gröbner bases and logarithmic 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 Matemática Aplicada I (ETSII) | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de álgebra | es |
dc.relation.projectID | BFM2001-3164 | es |
dc.relation.projectID | MTM2004-01165 | es |
dc.relation.projectID | FQM-333 | es |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S0747717105001355 | es |
dc.identifier.doi | 10.1016/j.jsc.2004.04.011 | es |
idus.format.extent | 19 | es |
dc.journaltitle | Journal of Symbolic Computation | es |
dc.publication.volumen | 41 | es |
dc.publication.issue | 3-4 | es |
dc.publication.initialPage | 317 | es |
dc.publication.endPage | 335 | es |
dc.identifier.sisius | 6641012 | es |