Bulletin of the
Korean Mathematical Society BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016
qr-code QR
Code

Article

HOME ALL ARTICLES View

Bull. Korean Math. Soc. 2017; 54(5): 1677-1697

Online first article July 3, 2017      Printed September 30, 2017

https://doi.org/10.4134/BKMS.b160686

Copyright © The Korean Mathematical Society.

Okounkov bodies and Zariski decompositions on surfaces

Sung Rak Choi, Jinhyung Park, Joonyeong Won

Yonsei University, Korea Institute for Advanced Study, KAIST

Abstract

Go to

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.

Keywords: Okounkov body, pseudoeffective divisor, asymptotic invariants of a divisor, Zariski decomposition

MSC numbers: Primary 14C20; Secondary 52A20

Article Tools

Stats or Metrics

Share this article on :

Related articles in BKMS