The Angehrn-Siu Type Effective Freeness For Quasi-Log Canonical Pairs
Haidong Liu
TL;DR
This paper proves effective freeness and point separation results for quasi-log canonical pairs, extending to semi-log canonical pairs, and introduces an inversion of adjunction for these pairs.
Contribution
It establishes the Angehrn-Siu type effective freeness and point separation for quasi-log canonical pairs, including a new inversion of adjunction result.
Findings
Effective freeness for quasi-log canonical pairs proven.
Effective point separation for these pairs established.
Inversion of adjunction for quasi-log canonical pairs introduced.
Abstract
We prove the 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 the inversion of adjunction for quasi-log canonical pairs, which is established in this paper.
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