Seshadri constants and a criterion for bigness of pseudo-effective line bundles

Takayama, Shigeharu

doi:10.2969/aspm/04210307

VOL. 42 | 2004 Seshadri constants and a criterion for bigness of pseudo-effective line bundles

Chapter Author(s) Shigeharu Takayama

Editor(s) Kimio Miyajima, Mikio Furushima, Hideaki Kazama, Akio Kodama, Junjiro Noguchi, Takeo Ohsawa, Hajime Tsuji, Tetsuo Ueda

Adv. Stud. Pure Math., 2004: 307-312 (2004) DOI: 10.2969/aspm/04210307

Abstract

We state some fundamental properties of the intersection theory for pseudo-effective line bundles defined by Tsuji, and some applications of that theory. As one of applications, we generalize Seshadri's criterion for ampleness of nef line bundles as a criterion for bigness of pseudo-effective line bundles.