Angehrn–Siu type effective basepoint freeness for quasi-log canonical pairs

Haidong Liu

doi:10.1215/21562261-2019-0014

Abstract

We prove Angehrn–Siu type effective freeness and effective point separation for quasi-log canonical pairs. As a natural consequence, we obtain that these two results hold for semi-log canonical pairs. One of the main ingredients of our proof is inversion of adjunction for quasi-log canonical pairs, which is established in this paper.

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Haidong Liu. "Angehrn–Siu type effective basepoint freeness for quasi-log canonical pairs." Kyoto J. Math. 59 (2) 455 - 470, June 2019. https://doi.org/10.1215/21562261-2019-0014

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Received: 12 October 2016; Revised: 1 April 2017; Accepted: 3 April 2017; Published: June 2019

First available in Project Euclid: 7 May 2019

zbMATH: 07080113

MathSciNet: MR3960302

Digital Object Identifier: 10.1215/21562261-2019-0014

Subjects:

Primary: 14E05

Secondary: 14E30

Keywords: effective freeness , effective point separation , inversion of adjunction , quasi-log canonical pairs , semi-log canonical pairs

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