Abstract
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 language | English |
---|---|
Pages (from-to) | 246-262 |
Number of pages | 17 |
Journal | Advances in Mathematics |
Volume | 241 |
DOIs | |
Publication status | Published - Jul 2013 |
Externally published | Yes |
Keywords
- Graded linear series
- Okounkov body
- Seshadri constant
ASJC Scopus subject areas
- Mathematics(all)