Okounkov bodies for ample line bundles

2010/07/12 by Henrik Seppänen, Seppänen, Henrik · 1 citation
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT) #math.AG #math.CV #math.RT

paper · pdf · doi:10.48550/arxiv.1007.1915

openalex publication_date 2010/07/12 · arxiv created 2012/06/06 · arxiv updated 2012/06/07 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Let \mathscrL → X be an ample line bundle over a nonsingular complex projective variety X. We construct an admissable flag X₀ ⊆ X₁ ⊆...⊆ X_n=X of subvarieties for which the associated Okounkov body for \mathscrL is a rational polytope.

Cited by

• Okounkov bodies for ample line bundles with applications to multiplicities for group representations

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