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arXiv · 2207.08743

On k-rational and k-Du Bois local complete intersections

Mircea Mustata·Mihnea Popa
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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].

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Mircea Mustata, Mihnea Popa. 2022-07-18. On k-rational and k-Du Bois local complete intersections. https://arxiv.org/abs/2207.08743

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