The Angehrn-Siu Type Effective Freeness For Quasi-Log Canonical Pairs

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.

References in corpus (2)

• Introduction to the log minimal model program for log canonical pairs
• Effective basepoint-free theorem for semi-log canonical surfaces

Cited by in corpus (4)

• Seshadri Constants and Fujita's Conjecture via Positive Characteristic Methods
• Effective basepoint-free theorem for semi-log canonical surfaces
• Fujita-type freeness for quasi-log canonical curves and surfaces
• Kollár-type effective freeness for quasi-log canonical pairs