Okounkov bodies of finitely generated divisors
Algebraic Geometry
2015-06-10 v2
Abstract
We show that the Okounkov body of a big divisor with finitely generated section ring is a rational simplex, for an appropriate choice of flag; furthermore, when the ambient variety is a surface, the same holds for every big divisor. Under somewhat more restrictive hypotheses, we also show that the corresponding semigroup is finitely generated.
Cite
@article{arxiv.1206.2499,
title = {Okounkov bodies of finitely generated divisors},
author = {Dave Anderson and Alex Küronya and Victor Lozovanu},
journal= {arXiv preprint arXiv:1206.2499},
year = {2015}
}
Comments
9 pages; v2 includes a stronger result in the surface case