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Creators/Authors contains: "Kawakami, Tatsuro"

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  1. ; (, Journal of Algebraic Geometry)
    We show that a projective variety with an int-amplified endomorphism of degree invertible in the base field satisfies Bott vanishing. This is a new way to analyze which varieties have nontrivial endomorphisms. In particular, we extend some classification results on varieties admitting endomorphisms (for Fano threefolds of Picard number one and several other cases) to any characteristic. The classification results in characteristic zero are due to Amerik–Rovinsky–Van de Ven, Hwang–Mok, Paranjape–Srinivas, Beauville, and Shao–Zhong. Our method also bounds the degree of morphisms into a given variety. Finally, we relate endomorphisms to global F F -regularity. 
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    Free, publicly-accessible full text available November 6, 2025
  2. ; ; ; (, Journal für die reine und angewandte Mathematik (Crelles Journal))
    Abstract We prove that every globally 𝐹-split surface admits an equisingular lifting over the ring of Witt vectors. 
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    Full Text Available 
  3. ; ; ; ; ; (, Proceedings of the London Mathematical Society)
    Abstract Over an algebraically closed field of characteristic , we prove that three‐dimensional ‐factorial affine klt varieties are quasi‐‐split. Furthermore, we show that the bound on the characteristic is optimal. 
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