Chen-Jiang decompositions for projective varieties, without Hodge modules

Abstract

We give a new proof of a theorem by Pareschi, Popa and Schnell that the direct image of the canonical bundle of a smooth projective variety along a morphism to an abelian variety admits a Chen-Jiang decomposition, without using the theory of Hodge modules.

18 pages

References in corpus (1)

• Pushforwards of klt pairs under morphisms to abelian varieties

Cited by in corpus (1)

• Paracanonical base locus, Albanese morphism, and semi-orthogonal indecomposability of derived categories