Okounkov bodies and zariski decompositions on surfaces

Sung Rak Choi; Jinhyung Park; Joonyeong Won

doi:10.4134/BKMS.b160686

Okounkov bodies and zariski decompositions on surfaces

Sung Rak Choi, Jinhyung Park, Joonyeong Won

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English
Pages (from-to)	1677-1697
Number of pages	21
Journal	Bulletin of the Korean Mathematical Society
Volume	54
Issue number	5
DOIs	https://doi.org/10.4134/BKMS.b160686
State	Published - 2017

Bibliographical note

Publisher Copyright:
© 2017 Korean Mathematial Soiety.

Keywords

Asymptotic invariants of a divisor
Okounkov body
Pseudoeffective divisor
Zariski decomposition

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10.4134/BKMS.b160686

Cite this

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Okounkov bodies and zariski decompositions on surfaces

Abstract

Bibliographical note

Keywords

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