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Quasi-$F^e$-splittings and quasi-$F$-regularity

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arxiv 2404.06788 v1 pith:MXBH73SV submitted 2024-04-10 math.AG math.AC

Hiromu Tanaka , Jakub Witaszek , Fuetaro Yobuko This is my paper · ORCID
classification math.AGmath.AC
keywords quasi-regularitysplittingsdeveloptheory
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abstract

We develop the theory of quasi-$F^e$-splittings, quasi-$F$-regularity, and quasi-$+$-regularity.

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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. On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type

    math.AG 2025-06 conditional novelty 7.0 of 10

    The paper proves degree-one Grauert-Riemenschneider vanishing for Cohen-Macaulay klt-type schemes and, in dimension three, full GR vanishing and rational singularities.

  2. Computation method for perfectoid purity and perfectoid BCM-regularity

    math.AG 2025-02 conditional novelty 7.0 of 10

    Quasi-F-splitting height in mixed characteristic characterizes perfectoid purity and computes the perfectoid pure threshold of p for complete intersection rings.

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