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Kawakami, Tatsuro, Nagaoka, Masaru , TITLE = · 2022 · DOI 10.1007/s00209-022-02998-6

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Quasi-$F$-splitting versus log canonicity

math.AG · 2026-07-02 · unverdicted · novelty 5.0

Quasi-F^e-splitting for all e implies numerically log canonical for numerically Q-Gorenstein normal singularities, with converse in dim 2 when p does not divide the Gorenstein index, plus a classification of 2D quasi-F-split cases.

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  • Rational (quasi-)elliptic surfaces with global vector fields in odd characteristic math.AG · 2026-06-24 · unverdicted · none · ref 13

    Classifies rational (quasi-)elliptic surfaces with global vector fields in char p ≠ 2, determining fibers, automorphism schemes, moduli, and Jacobian property except for p=3,5.

  • Quasi-$F$-splitting versus log canonicity math.AG · 2026-07-02 · unverdicted · none · ref 263

    Quasi-F^e-splitting for all e implies numerically log canonical for numerically Q-Gorenstein normal singularities, with converse in dim 2 when p does not divide the Gorenstein index, plus a classification of 2D quasi-F-split cases.