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arXiv:0911.2287 [math.AG]AbstractReferencesReviewsResources

Okounkov bodies on projectivizations of rank two toric vector bundles

José Luis González

Published 2009-11-12, updated 2011-01-01Version 2

The global Okounkov body of a projective variety is a closed convex cone that encodes asymptotic information about every big line bundle on the variety. In the case of a rank two toric vector bundle E on a smooth projective toric variety, we use its Klyachko filtrations to give an explicit description of the global Okounkov body of P(E). In particular, we show that this is a rational polyhedral cone and that P(E) is a Mori dream space.

Comments: 26 pages, 2 figures; v.2: application added, minor changes otherwise; to appear in the Journal of Algebra
Categories: math.AG, math.CO
Subjects: 14M25, 14C20, 14F05
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