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Bogomolov–Sommese type vanishing for globally F-regular threefolds

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Abstract

In this paper, we show that every invertible subsheaf of the cotangent bundle of a smooth globally F-regular threefold of characteristic \(p>3\) has Iitaka dimension less than or equal to one.

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Acknowledgements

The author wishes to express his gratitude to his supervisor Professor Shunsuke Takagi for his encouragement, valuable advice, and suggestions. He would like to thank Professor Adrian Langer for pointing out some references, Professor Hiromu Tanaka, Kenta Sato, and Shou Yoshikawa for helpful comments and conversations. This work was supported by JSPS KAKENHI 19J21085.

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  1. Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Tokyo, Meguro-ku, 153-8914, Japan

    Tatsuro Kawakami

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  1. Tatsuro Kawakami
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Correspondence to Tatsuro Kawakami.

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Kawakami, T. Bogomolov–Sommese type vanishing for globally F-regular threefolds. Math. Z. 299, 1821–1835 (2021). https://doi.org/10.1007/s00209-021-02740-8

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