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dc.contributor.author | Galindo Pastor, Carlos | es_ES |
dc.contributor.author | Monserrat Delpalillo, Francisco José | es_ES |
dc.date.accessioned | 2017-07-10T07:44:04Z | |
dc.date.available | 2017-07-10T07:44:04Z | |
dc.date.issued | 2016-02-26 | |
dc.identifier.issn | 0001-8708 | |
dc.identifier.uri | http://hdl.handle.net/10251/84800 | |
dc.description.abstract | We consider surfaces X defined by plane divisorial valuations v of the quotient field of the local ring R at a closed point p of the projective plane P-2 over an arbitrary algebraically closed field k and centered at R. We prove that the regularity of the cone of curves of X is equivalent to the fact that v is non-positive on Op(2) (P-2 \ L), where L is a certain line containing p. Under these conditions, we characterize when the characteristic cone of X is closed and its Cox ring finitely generated. Equivalent conditions to the fact that v is negative on Opt (P-2 \ L) k are also given. (C) 2015 Published by Elsevier Inc. | es_ES |
dc.description.sponsorship | Supported by Spain Ministry of Economy MTM2012-36917-C03-03 and Universitat Jaume I P1-1B201502. | en_EN |
dc.language | Inglés | es_ES |
dc.publisher | Elsevier | es_ES |
dc.relation.ispartof | Advances in Mathematics | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject | Cone of curves | es_ES |
dc.subject | Cox ring | es_ES |
dc.subject | Rational surfaces | es_ES |
dc.subject | Plane divisorial valuation | es_ES |
dc.title | The cone of curves and the Cox ring of rational surfaces given by divisorial valuations | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1016/j.aim.2015.12.015 | |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2012-36917-C03-03/ES/SINGULARIDADES E INFORMACION. APLICACIONES A CAMPOS VECTORIALES Y CODIGOS CORRECTORES/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/UJI//P1·1B2015-02/ | es_ES |
dc.rights.accessRights | Abierto | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada | es_ES |
dc.description.bibliographicCitation | Galindo Pastor, C.; Monserrat Delpalillo, FJ. (2016). The cone of curves and the Cox ring of rational surfaces given by divisorial valuations. Advances in Mathematics. 290:1040-1061. https://doi.org/10.1016/j.aim.2015.12.015 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | http://dx.doi.org/10.1016/j.aim.2015.12.015 | es_ES |
dc.description.upvformatpinicio | 1040 | es_ES |
dc.description.upvformatpfin | 1061 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 290 | es_ES |
dc.relation.senia | 325550 | es_ES |
dc.contributor.funder | Ministerio de Economía y Competitividad | es_ES |
dc.contributor.funder | Universitat Jaume I | es_ES |