Non-positive and negative at infinity divisorial valuations of Hirzebruch surfaces
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Título
Non-positive and negative at infinity divisorial valuations of Hirzebruch surfacesFecha de publicación
2020-05Editor
Springer VerlagISSN
1139-1138; 1988-2807Cita bibliográfica
GALINDO, Carlos; MONSERRAT, Francisco; MORENO-ÁVILA, Carlos-Jesús. Non-positive and negative at infinity divisorial valuations of Hirzebruch surfaces. Revista Matemática Complutense, 2020, vol. 33, núm. 2Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://link.springer.com/article/10.1007/s13163-019-00319-wVersión
info:eu-repo/semantics/acceptedVersionPalabras clave / Materias
Resumen
We consider rational surfaces Z defined by divisorial valuations ν of
Hirzebruch surfaces. We introduce concepts of non-positivity and negativity at infinity for these valuations and prove that these concepts admit ... [+]
We consider rational surfaces Z defined by divisorial valuations ν of
Hirzebruch surfaces. We introduce concepts of non-positivity and negativity at infinity for these valuations and prove that these concepts admit nice local and global
equivalent conditions. In particular we prove that, when ν is non-positive at infinity,
the extremal rays of the cone of curves of Z can be explicitly given. [-]
Publicado en
Revista Matemática Complutense, 2020, vol. 33, núm. 2Proyecto de investigación
Partially supported by the Spanish Government Ministerio de Economía, Industria y Competitividad (MINECO), grants MTM2015-65764-C3-2-P, MTM2016-81735-REDT, PGC2018-096446-B-C22 and BES-2016-076314, as well as by Universitat Jaume I, grant UJI-B2018-10.Derechos de acceso
"This is a post-peer-review, pre-copyedit version of an article published in Revista Matemática Complutense. The final authenticated version is available online at: https://doi.org/10.1007/s13163-019-00319-w".
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info:eu-repo/semantics/openAccess
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info:eu-repo/semantics/openAccess
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