arXiv Analytics

Sign in

arXiv:1304.4246 [math.AG]AbstractReferencesReviewsResources

Minkowski decomposition of Okounkov bodies on surfaces

Patrycja \Luszcz-Świdecka, David Schmitz

Published 2013-04-15Version 1

We prove that the Okounkov body of a big divisor with respect to a general flag on a smooth projective surface whose pseudo-effective cone is rational polyhedral decomposes as the Minkowski sum of finitely many simplices and line segments arising as Okounkov bodies of nef divisors.

Comments: 13 pages, 5 figures
Categories: math.AG
Subjects: 14C20, 14J26
Related articles: Most relevant | Search more
arXiv:1310.8505 [math.AG] (Published 2013-10-31, updated 2015-02-24)
Minkowski decomposition and generators of the moving cone for toric varieties
arXiv:1903.04317 [math.AG] (Published 2019-03-11)
Volume of line bundles via valuation vectors (different from Okounkov bodies)
arXiv:1001.4566 [math.AG] (Published 2010-01-25, updated 2012-10-30)
Okounkov bodies and toric degenerations