Fano manifolds which are not slope stable along curves

被引：4

作者：

Fujita, Kento ^{[1
]}

机构：

[1] Kyoto Univ, Math Sci Res Inst, Sakyo Ku, Kyoto 6068502, Japan

来源：

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES | 2011年 / 87卷 / 10期

关键词：

Fano manifold; slope stability; Seshadri constant; RAYS;

D O I：

10.3792/pjaa.87.199

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that a Fano manifold (X, -K-x) is 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).

引用

页码：199 / 202

页数：4

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