English

Some remarks on decomposition theorem for proper K\"ahler morphisms

Algebraic Geometry 2022-05-27 v5

Abstract

We explain a correct proof of the decomposition theorem for direct images of constant Hodge modules by proper K\"ahler morphisms of complex manifolds. We also give some examples showing certain difficulty in the non-constant Hodge module case.

Keywords

Cite

@article{arxiv.2204.09026,
  title  = {Some remarks on decomposition theorem for proper K\"ahler morphisms},
  author = {Morihiko Saito},
  journal= {arXiv preprint arXiv:2204.09026},
  year   = {2022}
}

Comments

12 pages

R2 v1 2026-06-24T10:52:24.915Z