PreprintCC BY 4.0arXiv
Relative Du Bois complexes over higher dimensional bases
Abstract
We extend the notion of the right relative Du Bois complex to a smooth base of arbitrary dimension. We further show that this complex satisfies base change in the sense of Kovács--Taji, for flat families with strict higher Du Bois fibers, extending the result by Ning over a smooth curve.
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BibTeX
@misc{kassabova2026relative,
title = {{Relative Du Bois complexes over higher dimensional bases}},
author = {Dora Kassabova and Haoming Ning},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.41719},
eprint = {2610.41719},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.41719},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Relative Du Bois complexes over higher dimensional bases
AU - Dora Kassabova
AU - Haoming Ning
PY - 2026
DA - 2026/10/30
PB - arXiv
DO - 10.48550/arxiv.2610.41719
UR - https://arxiv.org/abs/2610.41719
AB - We extend the notion of the right relative Du Bois complex to a smooth base of arbitrary dimension. We further show that this complex satisfies base change in the sense of Kovács--Taji, for flat families with strict higher Du Bois fibers, extending the result by Ning over a smooth curve.
ER -