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arXiv · 1912.12074

Weak Akizuki-Nakano vanishing theorem for globally $F$-split 3-folds

Kenta Sato·Shunsuke Takagi
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Abstract

In this paper, we prove that a weak form of the Akizuki-Nakano vanishing theorem holds on globally $F$-split 3-folds. Making use of this vanishing theorem, we study deformations of globally $F$-split Fano 3-folds and the Kodaira vanishing theorem for thickenings of locally complete intersection globally $F$-regular 3-folds.

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Kenta Sato, Shunsuke Takagi. 2019-12-27. Weak Akizuki-Nakano vanishing theorem for globally $F$-split 3-folds. https://arxiv.org/abs/1912.12074

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