Numerical and Enumerative Results on Okounkov Bodies

Piotr Pokora

doi:10.9734/BJMCS/2015/17733

Research Article Open access CC BY 4.0

Numerical and Enumerative Results on Okounkov Bodies

Piotr Pokora

Journal of Advances in Mathematics and Computer Science · pp. 112–121 · Published 21 May 2015

10.9734/BJMCS/2015/17733

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.

Okounkov bodies fujita approximation big and ample divisors numerical equivalence of divisors Zariski decompositions Zariski chambers Minkowski decomposition.

Cited by 1

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Piotr Pokora (2015). Numerical and Enumerative Results on Okounkov Bodies. Journal of Advances in Mathematics and Computer Science , 112–121. https://doi.org/10.9734/BJMCS/2015/17733

Affiliations

Piotr Pokora — Institute of Mathematics, Pedagogical University of Cracow, PodchoraÅ»ych 2, PL-30-084 KrakÓw, Poland.

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