We show that the Okounkov body of a big divisor with a finitely generated section ring is a rational simplex for an appropriate choice of flag; furthermore, when the ambient variety is a surface, the same holds for every big divisor. Under somewhat more restrictive hypotheses, we also show that the corresponding semi-group is finitely generated

Anderson, D., Küronya, A., Lozovanu, V. (2014). Okounkov Bodies of Finitely Generated Divisors. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2014(9), 2343-2355 [10.1093/imrn/rns286].

Okounkov Bodies of Finitely Generated Divisors

Lozovanu, V
2014

Abstract

We show that the Okounkov body of a big divisor with a finitely generated section ring is a rational simplex for an appropriate choice of flag; furthermore, when the ambient variety is a surface, the same holds for every big divisor. Under somewhat more restrictive hypotheses, we also show that the corresponding semi-group is finitely generated
Articolo in rivista - Articolo scientifico
Mathematics, algebraic geometry, convex geometry, divisor, linear series, Okounkov body, Newton polygon
English
2014
2014
9
2343
2355
open
Anderson, D., Küronya, A., Lozovanu, V. (2014). Okounkov Bodies of Finitely Generated Divisors. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2014(9), 2343-2355 [10.1093/imrn/rns286].
File in questo prodotto:
File Dimensione Formato  
Okounkov bodies of finitely generated divisors.pdf

accesso aperto

Tipologia di allegato: Other attachments
Dimensione 316 kB
Formato Adobe PDF
316 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/48416
Citazioni
  • Scopus 19
  • ???jsp.display-item.citation.isi??? 19
Social impact