Pushforwards of pluricanonical bundles under morphisms to abelian varieties

Luigi Lombardi, Mihnea Popa, Christian Schnell

Let $f:X\to A$ be a morphism from a smooth projective variety to an abelian variety (over the field of complex numbers). We show that the sheaves $f_{\ast }{\omega }_X^{\otimes m}$ beco…