Trace for the Du Bois complex

Hyunsuk Kim

Journal of Singularities
volume 28 (2025), 234-239

Received: 16 July 2025. In revised form: 2 December 2025.

DOI: 10.5427/jsing.2025.28k


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.


2020 Mathematical Subject Classification:

14B05, 32S35


Author(s) information:

Hyunsuk Kim, Department of Mathematics, University of Michigan, 530 Church Street, Ann Arbor, MI 48109, USA
email: kimhysuk@umich.edu