Mathematics – Algebraic Geometry
Scientific paper
2012-02-29
Mathematics
Algebraic Geometry
30 pages
Scientific paper
Okounkov bodies, which are closed convex sets defined for big line bundles,
have rich information of 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.
We also investigate Seshadri constants in toric cases.
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