Geodesic
Angehrn-Siu-Helmke’s method applied to abelian varieties
Forum of Mathematics, Sigma, Tome 11 (2023)

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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 $\mathcal {A}_{g, l}$ with only finitely many possible exceptions of primitive polarization types l in each dimension g. We improved the bound of basepoint freeness thresholds of any polarized abelian $4$-folds and simple abelian $5$-folds. 
@article{10_1017_fms_2023_34,
     author = {Zhi Jiang},
     title = {Angehrn-Siu-Helmke{\textquoteright}s method applied to abelian varieties},
     journal = {Forum of Mathematics, Sigma},
     publisher = {mathdoc},
     volume = {11},
     year = {2023},
     doi = {10.1017/fms.2023.34},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/fms.2023.34/}
}
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Zhi Jiang. Angehrn-Siu-Helmke’s method applied to abelian varieties. Forum of Mathematics, Sigma, Tome 11 (2023). doi: 10.1017/fms.2023.34

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