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

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arxiv 2207.08743 v3 pith:R3E5SNZ3 submitted 2022-07-18 math.AG

Mircea Mustata , Mihnea Popa This is my paper · ORCID
classification math.AG
keywords boisk-duk-rationallocalcompleteintersectionsresultssingularities
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A birational description of the minimal exponent

    math.AG 2025-02 accept novelty 7.0 of 10

    The minimal exponent of a reduced hypersurface is characterized by vanishing and isomorphism conditions on higher direct images of twisted logarithmic differential forms on a log resolution.

  2. Hirzebruch-Milnor classes of local complete intersections, minimal exponent, and applications to higher singularities

    math.AG 2025-02 conditional novelty 7.0 of 10

    For lci subvarieties of a smooth variety, spectral Hirzebruch-Milnor classes vanish between bounds set by the minimal exponent, yielding homological criteria for higher singularities.

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