Numerical and Enumerative Results on Okounkov Bodies
Piotr Pokora *
Institute of Mathematics, Pedagogical University of Cracow, PodchoraÅ»ych 2, PL-30-084 KrakÓw, Poland.
*Author to whom correspondence should be addressed.
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 [1] and a cardinality formulae for Minkowski bases on a certain class of smooth projective surfaces.
Keywords: Okounkov bodies, fujita approximation, big and ample divisors, numerical equivalence of divisors, Zariski decompositions, Zariski chambers, Minkowski decomposition.