Seshadri constants of indecomposable polarized abelian varieties

Abstract

The goal of this note is to study a conjectural picture on lower bounds of Seshadri constants of indecomposable polarized abelian varieties. This is inspired by some ideas of Debarre on the subject and the author's previous work on syzygies of abelian threefolds using the convex geometry of Newton–Okounkov bodies.