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

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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.… Click to show full 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.

Keywords: quasi log; siu type; canonical pairs; log canonical; angehrn siu

Journal Title: Kyoto Journal of Mathematics
Year Published: 2019

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