A note about rational surfaces as unions of affine planes
Authors
Caravantes Tortajada, Jorge; Sendra Pons, Juan Rafael; Sevilla, David; Villarino Cabellos, CarlosIdentifiers
Permanent link (URI): http://hdl.handle.net/10017/58668DOI: 10.1007/s13398-023-01401-1
ISSN: 1578-7303
Publisher
Springer
Date
2023-02-18Funders
Agencia Estatal de Investigación
Bibliographic citation
Jorge Caravantes, J.Rafael Sendra, David Sevilla and Carlos Villarino. A note about rational surfaces as union of affine planes. Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. (2023) 117:69
Keywords
Smooth rational projective surface
Covering of surfaces
Surface blowup
Description / Notes
J. Caravantes and C. Villarino belong to the Research Group ASYNACS (Ref. CT-CE2019/683). D. Sevilla is a member of the research group GADAC and is partially supported by Junta de Extremadura and Fondo Europeo de Desarrollo Regional (GR21055)
Project
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-113192GB-I00/ES/VISUALIZACION MATEMATICA: FUNDAMENTOS, ALGORITMOS Y APLICACIONES/
Document type
info:eu-repo/semantics/article
Version
info:eu-repo/semantics/publishedVersion
Publisher's version
https://doi.org/10.1007/s13398-023-01401-1Rights
Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
Access rights
info:eu-repo/semantics/openAccess
Abstract
Demostramos que cualquier superficie proyectiva racional lisa, sobre el cuerpo de los números complejos, admite un recubrimiento por medio de tres subconjuntos isomorfos a planos afines. We prove that any smooth rational projective surface over the field of complex numbers has
an open covering consisting of 3 subsets isomorphic to affine planes.
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