The basepoint-freeness threshold of a very general abelian surface

dc.contributor.authorRojas González, Andrés
dc.date.accessioned2026-06-08T07:32:07Z
dc.date.available2026-06-08T07:32:07Z
dc.date.issued2022-01-07
dc.date.updated2026-06-08T07:32:07Z
dc.description.abstractFor abelian surfaces of Picard rank 1, we perform explicit computations of the cohomological rank functions of the ideal sheaf of one point, and in particular of the basepoint-freeness threshold. Our main tool is the relation between cohomological rank functions and Bridgeland stability. In virtue of recent results of Caucci and Ito, these computations provide new information on the syzygies of polarized abelian surfaces.
dc.format.extent14 p.
dc.format.mimetypeapplication/pdf
dc.identifier.idgrec
dc.identifier.issn1022-1824
dc.identifier.urihttps://hdl.handle.net/2445/229926
dc.language.isoeng
dc.publisherSpringer Nature
dc.relation.isformatofReproducció del document publicat a: https://doi.org/10.1007/s00029-021-00757-9
dc.relation.ispartofSelecta Mathematica-New Series, 2022, vol. 28, num.2
dc.relation.urihttps://doi.org/10.1007/s00029-021-00757-9
dc.rightscc by (c) Rojas, Andrés, 2022
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.sourceArticles publicats en revistes (Matemàtiques i Informàtica)
dc.subject.classificationHomologia
dc.subject.classificationCicles algebraics
dc.subject.classificationVarietats abelianes
dc.subject.otherHomology
dc.subject.otherAlgebraic cycles
dc.subject.otherAbelian varieties
dc.titleThe basepoint-freeness threshold of a very general abelian surface
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion

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