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

التفاصيل البيبلوغرافية
العنوان: Fano $4$-folds with nef tangent bundle in positive characteristic
المؤلفون: Takahashi, Yuta, Watanabe, Kiwamu
سنة النشر: 2022
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Algebraic Geometry, Mathematics - Complex Variables, Mathematics - Differential Geometry, 14J35, 14J45, 14M17, 14E30
الوصف: 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.
Comment: 11 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2210.17055
رقم الأكسشن: edsarx.2210.17055
قاعدة البيانات: arXiv