Okounkov bodies and Seshadri constants

Details Okounkov bodies and Seshadri constants Okounkov bodies and Seshadri constants

2012-02-29

arxiv.org/abs/1202.6662v1

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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