General base change for relative Du Bois complexes

A partial answer is given to a question raised by Kovács and Taji in arxiv:2307.07192, namely that the relative Du Bois complex of a family parametrized by a non-singular curve commutes with base change to a general point on the base. It is also shown that this property usually fails for special points.

Publication Details

Journal
ArXiv.org
Published
2025-08-04
Primary Topic
Advanced Combinatorial Mathematics
Type
article
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article

General base change for relative Du Bois complexes

ArXiv.org
Advanced Combinatorial Mathematics
article

General base change for relative Du Bois complexes

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Abstract

A partial answer is given to a question raised by Kovács and Taji in arxiv:2307.07192, namely that the relative Du Bois complex of a family parametrized by a non-singular curve commutes with base change to a general point on the base. It is also shown that this property usually fails for special points.

ArXiv.org
Openalex Percentile: Top 44%
Advanced Combinatorial Mathematics
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General base change for relative Du Bois complexes · ArXiv.org (2025) | TGRS Research Map | TGRS