Okounkov bodies and Zariski decompositions on surfaces
arXiv:1603.00618
Abstract
The purpose of this paper is to investigate the close relation between Okounkov bodies and Zariski decompositions of pseudoeffective divisors on smooth projective surfaces. Firstly, we completely determine the limiting Okounkov bodies on such surfaces, and give applications to Nakayama constants and Seshadri constants. Secondly, we study how the shapes of Okounkov bodies change as we vary the divisors in the big cone.
16 pages, Changed Section 5 and corrected typos, to appear in Bull. Korean. Math. Soc. (special volume for Magadan Conference)