Numerical and enumerative results on Okounkov bodies

Abstract

In this note we focus on three independent problems on Okounkov bodies for projective varieties. The main goal is to present a geometric version of the classical Fujita Approximation Theorem, a Jow-type theorem and a cardinality formulae for Minkowski bases on a certain class of smooth projective surfaces.

11 pages, 1 figure, (Version 2.0 - small remarks added)

References in corpus (3)

• Local positivity of linear series on surfaces
• When are Zariski chambers numerically determined?
• Minkowski bases on algebraic surfaces with rational polyhedral pseudo-effective cone