On the Degree of Curves with Prescribed Multiplicities and Bounded Negativity
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Título
On the Degree of Curves with Prescribed Multiplicities and Bounded NegativityAutoría
Fecha de publicación
2022-07-28Editor
Oxford University PressCita bibliográfica
Carlos Galindo, Francisco Monserrat, Carlos-Jesús Moreno-Ávila, Elvira Pérez-Callejo, On the Degree of Curves with Prescribed Multiplicities and Bounded Negativity, International Mathematics Research Notices, Volume 2023, Issue 16, August 2023, Pages 13757–13779, https://doi.org/10.1093/imrn/rnac085Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://academic.oup.com/imrn/advance-article/doi/10.1093/imrn/rnac085/6651045Versión
info:eu-repo/semantics/submittedVersionPalabras clave / Materias
Resumen
We provide a lower bound on the degree of curves of the projective plane P2 passing through the centers of a divisorial valuation ν of P2 with prescribed multiplicities, and an upper bound for the Seshadri-type constant ... [+]
We provide a lower bound on the degree of curves of the projective plane P2 passing through the centers of a divisorial valuation ν of P2 with prescribed multiplicities, and an upper bound for the Seshadri-type constant of ν, μ^(ν), constant that is crucial in the Nagata-type valuative conjecture. We also give some results related to the bounded negativity conjecture concerning those rational surfaces having the projective plane as a relatively minimal model. [-]
Publicado en
International Mathematics Research Notices, volume 2023, Issue 16, August 2023Entidad financiadora
Universitat Jaume I | Ministerio de Ciencia, Innovación y Universidades (Spain) | Unión Europea
Código del proyecto o subvención
UJI-B2021-02 | MCIN/AEI/10.13039/501100011033 | UP2021-021
Derechos de acceso
© 2022 Oxford University Press
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