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dc.contributor.authorGalindo, Carlos
dc.contributor.authorMonserrat, Francisco
dc.contributor.authorMoyano Fernández, Julio José
dc.date.accessioned2019-05-07T07:08:13Z
dc.date.available2019-05-07T07:08:13Z
dc.date.issued2018
dc.identifier.citationJournal of Algebraic Geometry, 2018, vol. 27. p. 751-783es
dc.identifier.issn1534-7486es
dc.identifier.urihttp://uvadoc.uva.es/handle/10324/35952
dc.descriptionProducción Científicaes
dc.description.abstractWe consider the value ˆμ( ) = limm→∞ m−1a(mL), where a(mL) is the last value of the vanishing sequence of H0(mL) along a divisorial or irrational valuation centered at OP2,p, L (respectively, p) being a line (respectively, a point) of the projective plane P2 over an algebraically closed field. This value contains, for valuations, similar information as that given by Seshadri constants for points. It is always true that ˆμ( ) ≥ p1/vol( ) and minimal valuations are those satisfying the equality. In this paper, we prove that the Greuel-Lossen-Shustin Conjecture implies a variation of the Nagata Conjecture involving minimal valuations (that extends the one stated in [15] to the whole set of divisorial and irrational valuations of the projective plane) which also implies the original Nagata’s conjecture. We also provide infinitely many families of minimal very general valuations with an arbitrary number of Puiseux exponents, and an asymptotic result that can be considered as evidence in the direction of the above mentioned conjecture.es
dc.format.mimetypeapplication/pdfes
dc.language.isoenges
dc.publisherAmerican Mathematical Societyes
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject.classificationPlane valuationses
dc.subject.classificationValoración de planoses
dc.subject.classificationAlgebraes
dc.subject.classificationÁlgebraes
dc.titleMinimal plane valuationses
dc.typeinfo:eu-repo/semantics/articlees
dc.rights.holder© 2018 American Mathematical Societyes
dc.identifier.doihttps://doi.org/10.1090/jag/722es
dc.relation.publisherversionhttp://www.ams.org/journals/jag/2018-27-04/S1056-3911-2018-00722-2/es
dc.peerreviewedSIes
dc.description.projectMinisterio de Economía, Industria y Competitividad ( grants MTM2012-36917-C03-03 / MTM2015-65764-C3-2-P / MTM2016-81735- REDT)es
dc.description.projectUniversitat Jaume I (grant P1-1B2015-02)es
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International


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