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On the polyhedrality of global Okounkov bodies
-
David Schmitz
and
Henrik Seppänen
Published/Copyright:
January 16, 2016
Abstract
We prove that the existence of a finite Minkowski basis for Okounkov bodies on a smooth projective variety with respect to an admissible flag implies the rational polyhedrality of the global Okounkov body. As an application of this general result, we deduce that the global Okounkov body of a surface with finitely generated pseudo-effective cone with respect to a general flag is rational polyhedral. We give an alternative proof for this fact which recovers the generators more explicitly. We also prove the rational polyhedrality of global Okounkov bodies in the case of certain homogeneous 3-folds using inductive methods.
Received: 2014-6-17
Revised: 2014-7-9
Published Online: 2016-1-16
Published in Print: 2016-1-1
© 2016 by Walter de Gruyter Berlin/Boston
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- Pseudospherical surfaces of low differentiability
- Complex Finsler structures on tensor products
- On the Lefschetz trace formula for Lubin–Tate spaces
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- How many torsionless affine connections exist in general dimension?
- A counterexample to the containment I(3) ⊂ I2 over the reals
- On the polyhedrality of global Okounkov bodies
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Articles in the same Issue
- Frontmatter
- Pseudospherical surfaces of low differentiability
- Complex Finsler structures on tensor products
- On the Lefschetz trace formula for Lubin–Tate spaces
- Classes of generalized Weingarten surfaces in the Euclidean 3-space
- On Sasaki–Ricci solitons and their deformations
- How many torsionless affine connections exist in general dimension?
- A counterexample to the containment I(3) ⊂ I2 over the reals
- On the polyhedrality of global Okounkov bodies
- Extremum properties of lattice packing and covering with circles
- Simple crystallizations of 4-manifolds
- Sharply 2-transitive groups
