English

Trace for the Du Bois complex

Algebraic Geometry 2025-10-09 v2

Abstract

We construct some version of the trace morphism between the Du Bois complexes, with applications towards the behavior of the local cohomological dimension and some Hodge theoretic aspects of singularities under finite morphisms.

Keywords

Cite

@article{arxiv.2507.07350,
  title  = {Trace for the Du Bois complex},
  author = {Hyunsuk Kim},
  journal= {arXiv preprint arXiv:2507.07350},
  year   = {2025}
}

Comments

6 pages, Corollaries are stated in a slightly stronger set-up

R2 v1 2026-07-01T03:54:05.322Z