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Okounkov bodies and Seshadri constants

2012/02/29 by Atsushi Ito, Ito, Atsushi
Mathematics · #14C20 #14M25 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1202.6662

openalex publication_date 2012/02/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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