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The cone of curves and the Cox ring of rational surfaces given by divisorial valuations
dc.contributor.author | Galindo, Carlos | |
dc.contributor.author | Monserrat, Francisco | |
dc.date.accessioned | 2017-07-13T09:46:10Z | |
dc.date.available | 2017-07-13T09:46:10Z | |
dc.date.issued | 2016-02 | |
dc.identifier.citation | GALINDO, Carlos; MONSERRAT, Francisco. The cone of curves and the Cox ring of rational surfaces given by divisorial valuations. Advances in Mathematics, 2016, vol. 290, p. 1040-1061 | |
dc.identifier.issn | 0001-8708 | |
dc.identifier.uri | http://hdl.handle.net/10234/168289 | |
dc.description.abstract | We consider surfaces X defined by plane divisorial valuations ν of the quo- tient 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 ν is non-positive on OP2 (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 ν is negative on OP2 (P 2 \ L) \ k are also given. | ca_CA |
dc.description.sponsorShip | Soported by Spain Ministry of Economy MTM2012-36917-C03-03 and Univ. Jaume I P1-1B2012-04 | ca_CA |
dc.format.extent | 18 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Elsevier | ca_CA |
dc.relation.isPartOf | Advances in Mathematics, v. 290, 26, February 2016, p. 1040-1061 | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/CNE/1.0/ | * |
dc.subject | cone of curves | ca_CA |
dc.subject | Cox ring | ca_CA |
dc.subject | rational surfaces | ca_CA |
dc.subject | plane divisorial valuation | ca_CA |
dc.title | The cone of curves and the Cox ring of rational surfaces given by divisorial valuations | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | https://doi.org/10.1016/j.aim.2015.12.015 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | http://www.sciencedirect.com/science/article/pii/S0001870815005496 | ca_CA |
dc.type.version | info:eu-repo/semantics/sumittedVersion |
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