Angehrn-Siu-Helmke’s method applied to abelian varieties
Sign Up to like & getrecommendations! Published in 2022 at "Forum of Mathematics, Sigma"
DOI: 10.1017/fms.2023.34
Abstract: Abstract We apply Angehrn-Siu-Helmke’s method to estimate basepoint freeness thresholds of higher dimensional polarized abelian varieties. We showed that a conjecture of Caucci holds for very general polarized abelian varieties in the moduli spaces $\mathcal… read more here.
Keywords: siu helmke; abelian varieties; helmke method; angehrn siu ... See more keywords
Angehrn–Siu type effective basepoint freeness for quasi-log canonical pairs
Sign Up to like & getrecommendations! Published in 2019 at "Kyoto Journal of Mathematics"
DOI: 10.1215/21562261-2019-0014
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… read more here.
Keywords: quasi log; siu type; canonical pairs; log canonical ... See more keywords