Fano manifolds which are not slope stable along curves

Proceedings of the Japan Academy, Series A. Mathematical Sciences

article

Kento Fujita¹ 

[1] Research Institute for Mathematical Sciences, Kyoto University

关键词: Fano manifold;    slope stability;    Seshadri constant.;   

DOI  :  10.3792/pjaa.87.199

学科分类：数学（综合）

来源: Japan Academy

【 摘 要 】

We show that a Fano manifold $(X,-K_{X})$ is \textit{not} slope stable with respect to a smooth curve $Z$ if and only if $(X,Z)$ is isomorphic to one of (projective space, line), (product of projective line and projective space, fiber of second projection) or (blow up of projective space along linear subspace of codimension two, nontrivial fiber of blow up).

【 授权许可】

Unknown