On k-rational and k-Du Bois local complete intersections
Algebraic Geometry
2024-03-19 v3
Abstract
We show that k-rational singularities of local complete intersections are k-Du Bois. For hypersurfaces, we characterize k-rationality in terms of the minimal exponent. We also establish some local vanishing results for k-rational and k-Du Bois singularities. Some of these results have been independently obtained in [FL2].
Cite
@article{arxiv.2207.08743,
title = {On k-rational and k-Du Bois local complete intersections},
author = {Mircea Mustata and Mihnea Popa},
journal= {arXiv preprint arXiv:2207.08743},
year = {2024}
}
Comments
25 pages; v.2: Prop. 2.8 has been added, improved presentation. V.3: minor changes, to appear in Algebraic Geometry