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Fano manifolds containing a negative divisor isomorphic to a rational homogeneous space of Picard number one
International Journal of Mathematics ( IF 0.6 ) Pub Date : 2020-05-08 , DOI: 10.1142/s0129167x20500664
Jie Liu 1
Affiliation  

Let [Formula: see text] be an [Formula: see text]-dimensional complex Fano manifold [Formula: see text]. Assume that [Formula: see text] contains a divisor [Formula: see text], which is isomorphic to a rational homogeneous space with Picard number one, such that the conormal bundle [Formula: see text] is ample over [Formula: see text]. Building on the works of Tsukioka, Watanabe and Casagrande–Druel, we give a complete classification of such pairs [Formula: see text].

中文翻译:

Fano 流形包含一个负除数,同构于 Picard 1 号的有理齐次空间

令[公式:见文]为[公式:见文]维复Fano流形[公式:见文]。假设 [Formula: see text] 包含一个除数 [Formula: see text],它同构于 Picard 数为 1 的有理齐次空间,使得共正规丛 [Formula: see text] 充足于 [Formula: see text] ]。在 Tsukioka、Watanabe 和 Casagrande-Druel 的作品的基础上,我们给出了此类对的完整分类 [公式:见正文]。
更新日期:2020-05-08
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