English

Chen-Jiang decompositions for projective varieties, without Hodge modules

Algebraic Geometry 2021-09-29 v1

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.

Keywords

Cite

@article{arxiv.2010.10655,
  title  = {Chen-Jiang decompositions for projective varieties, without Hodge modules},
  author = {Mads Bach Villadsen},
  journal= {arXiv preprint arXiv:2010.10655},
  year   = {2021}
}

Comments

18 pages

R2 v1 2026-06-23T19:30:19.513Z