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dc.creatorFernández Fernández, María Cruzes
dc.date.accessioned2016-06-08T08:58:42Z
dc.date.available2016-06-08T08:58:42Z
dc.date.issued2010-08-01
dc.identifier.citationFernández Fernández, M.C. (2010). Irregular hypergeometric D-modules. Advances in Mathematics, 224 (5), 1735-1764.
dc.identifier.issn0001-8708es
dc.identifier.issn1090-2082es
dc.identifier.urihttp://hdl.handle.net/11441/42039
dc.description.abstractWe study the irregularity of hypergeometric D-modules MA(β) via the explicit construction of Gevrey series solutions along coordinate subspaces in X = C n. As a consequence, we prove that along coordinate hyperplanes the combinatorial characterization of the slopes of MA(β) given by M. Schulze and U. Walther in [25] still holds for any full rank integer matrix A. We also provide a lower bound for the dimensions of the spaces of Gevrey solutions along coordinate subspaces in terms of volumes of polytopes and prove the equality for very generic parameters. Holomorphic solutions outside the singular locus of MA(β) can be understood as Gevrey solutions of order one along X at generic points and so they are included as a particular case.es
dc.description.sponsorshipMinisterio de Educación y Cienciaes
dc.description.sponsorshipJunta de Andalucíaes
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherEes
dc.relation.ispartofAdvances in Mathematics, 224 (5), 1735-1764.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectHypergeometric D-modulees
dc.subjectGevrey serieses
dc.subjectSlopees
dc.titleIrregular hypergeometric D-moduleses
dc.typeinfo:eu-repo/semantics/articlees
dc.type.versioninfo:eu-repo/semantics/publishedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de álgebraes
dc.relation.projectIDAP2005-2360es
dc.relation.projectIDMTM2007-64509es
dc.relation.projectIDFQM333es
dc.identifier.doihttp://dx.doi.org/10.1016/j.aim.2010.01.017es
idus.format.extent41 p.es
dc.journaltitleAdvances in Mathematicses
dc.publication.volumen224es
dc.publication.issue5es
dc.publication.initialPage1735es
dc.publication.endPage1764es
dc.relation.publicationplaceAmsterdames
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/42039
dc.contributor.funderMinisterio de Educación y Ciencia (MEC). España
dc.contributor.funderJunta de Andalucía

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