Local positivity, multiplier ideals, and syzygies of abelian varieties
Local positivity, multiplier ideals, and syzygies of abelian varieties
We use the language of multiplier ideals in order to relate the syzygies of an abelian variety in a suitable embedding with the local positivity of the line bundle inducing that embedding.This extends to higher syzygies a result of Hwang and To on projective normality.