Okounkov bodies and Seshadri constants

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13 Citations (Scopus)


Okounkov bodies, which are closed convex sets defined for big line bundles, have rich information on the line bundles. On the other hand, Seshadri constants are invariants which measure the positivity of line bundles. In this paper, we prove that Okounkov bodies give lower bounds of Seshadri constants.

Original languageEnglish
Pages (from-to)246-262
Number of pages17
JournalAdvances in Mathematics
Publication statusPublished - Jul 2013
Externally publishedYes


  • Graded linear series
  • Okounkov body
  • Seshadri constant

ASJC Scopus subject areas

  • Mathematics(all)


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