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Fano 4-folds with nef tangent bundle in positive characteristic.

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Název: Fano 4-folds with nef tangent bundle in positive characteristic.
Autoři: Takahashi, Yuta1 (AUTHOR) yuta0630takahashi0302@gmail.com, Watanabe, Kiwamu1 (AUTHOR)
Zdroj: Communications in Algebra. 2024, Vol. 52 Issue 7, p2750-2759. 10p.
Témata: *TANGENT bundles, *PICARD number, *LOGICAL prediction
Abstrakt: In characteristic 0, the Campana-Peternell conjecture claims that the only smooth Fano variety with nef tangent bundle should be homogeneous. In this paper, we study the positive characteristic version of the Campana-Peternell conjecture. In particular, we give an affirmative answer for Fano 4-folds with nef tangent bundle and Picard number greater than one. [ABSTRACT FROM AUTHOR]
Databáze: Academic Search Index
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Abstrakt:In characteristic 0, the Campana-Peternell conjecture claims that the only smooth Fano variety with nef tangent bundle should be homogeneous. In this paper, we study the positive characteristic version of the Campana-Peternell conjecture. In particular, we give an affirmative answer for Fano 4-folds with nef tangent bundle and Picard number greater than one. [ABSTRACT FROM AUTHOR]
ISSN:00927872
DOI:10.1080/00927872.2024.2305682