تقرير
Fano $4$-folds with nef tangent bundle in positive characteristic
العنوان: | Fano $4$-folds with nef tangent bundle in positive characteristic |
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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 |
الوصف غير متاح. |