Newton–Okounkov bodies of exceptional curve valuations
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Show full item recordcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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Title
Newton–Okounkov bodies of exceptional curve valuationsDate
2020-03-20Publisher
European Mathematical Society; Real Sociedad Matemática EspañolaISSN
0213-2230Bibliographic citation
Galindo Carlos, Moyano-Fernández Julio José, Monserrat Francisco, Nickel Matthias: Newton–Okounkov bodies of exceptional curve valuations. Rev. Mat. Iberoam. 36 (2020), 2147-2182. doi: 10.4171/rmi/1195Type
info:eu-repo/semantics/articlePublisher version
https://www.ems-ph.org/journals/show_abstract.php?issn=0213-2230&vol=36&iss=7&ra ...Version
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Abstract
We prove that the Newton–Okounkov body associated to the flag E∙:={X=Xr⊃Er⊃{q}}, defined by the surface X and the exceptional divisor Er given by any divisorial valuation of the complex projective plane P2, with respect ... [+]
We prove that the Newton–Okounkov body associated to the flag E∙:={X=Xr⊃Er⊃{q}}, defined by the surface X and the exceptional divisor Er given by any divisorial valuation of the complex projective plane P2, with respect to the pull-back of the line-bundle OP2(1) is either a triangle or a quadrilateral, characterizing when it is a triangle or a quadrilateral. We also describe the vertices of that figure. Finally, we introduce a large family of flags for which we determine explicitly their Newton–Okounkov bodies which turn out to be triangular. [-]
Is part of
Revista matemática iberoamericana. Volume 36, Issue 7, 2020, pp. 2147–2182Funder Name
Ministerio de Economía, Industria y Competitividad | Universitat Jaume I
Project code
MTM2015-65764-C3-2-P | MTM2016-81735-REDT | P1-1B2015-02
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- MAT_Articles [763]