Okounkov bodies and Seshadri constants

Published 29 Feb 2012 in math.AG | (1202.6662v2)

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.

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Atsushi Ito

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