dc.creator | Berkesch, Christine | es |
dc.creator | Fernández Fernández, María Cruz | es |
dc.date.accessioned | 2022-11-08T12:03:23Z | |
dc.date.available | 2022-11-08T12:03:23Z | |
dc.date.issued | 2022-03-06 | |
dc.identifier.citation | Berkesch, C. y Fernández Fernández, M.C. (2022). On the rank of an A-hypergeometric D-module versus the normalized volume of A. Bulletin of the London Mathematical Society, 54 (1), 182-192. https://doi.org/10.48550/arXiv.1907.08669. | |
dc.identifier.issn | 0024-6093 | es |
dc.identifier.issn | 1469-2120 | es |
dc.identifier.uri | https://hdl.handle.net/11441/139117 | |
dc.description.abstract | The rank of an A-hypergeometric D-module MA(β), associated with a full rank (d×n)-matrix A and a vector of parameters β∈Cd, is known to be the normalized volume of A, denoted vol(A), when β lies outside the exceptional arrangement E(A), an affine subspace arrangement of codimension at least two. If β∈E(A) is simple, we prove that d−1 is a tight upper bound for the ratio rank(MA(β))/vol(A) for any d≥3. We also prove that the set of parameters β such that this ratio is at least 2 is an affine subspace arrangement of codimension at least 3. | es |
dc.format | application/pdf | es |
dc.format.extent | 10 p. | es |
dc.language.iso | eng | es |
dc.publisher | Wiley | es |
dc.relation.ispartof | Bulletin of the London Mathematical Society, 54 (1), 182-192. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Algebraic Geometry | es |
dc.title | On the rank of an A-hypergeometric D-module versus the normalized volume of A | es |
dc.type | info:eu-repo/semantics/article | es |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de álgebra | es |
dc.relation.publisherversion | https://doi.org/10.48550/arXiv.1907.08669 | es |
dc.identifier.doi | 10.48550/arXiv.1907.08669 | es |
dc.contributor.group | Universidad de Sevilla. FQM218: Singularidades, Geometría Algebraica Aritmética, Grupos y Homotopía | es |
dc.journaltitle | Bulletin of the London Mathematical Society | es |
dc.publication.volumen | 54 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 182 | es |
dc.publication.endPage | 192 | es |