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arXiv · 1905.07752

Fano manifolds containing a negative divisor isomorphic to a rational homogeneous space of Picard number one

Jie Liu
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Abstract

Let $X$ be an $n$-dimensional complex Fano manifolds $(n\geq 3)$. Assume that $X$ contains a divisor $A$, which is isomorphic to a rational homogeneous space with Picard number one, such that the conormal bundle $\mathscr{N}^*_{A/X}$ is ample over $A$. Building on the works of Tsukioka, Watanabe and Casagrande-Druel, we give a complete classification of such pairs $(X,A)$.

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Jie Liu. 2019-05-19. Fano manifolds containing a negative divisor isomorphic to a rational homogeneous space of Picard number one. https://doi.org/10.1142/s0129167x20500664

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