FANO MANIFOLDS AND BLOW-UPS OF LOW-DIMENSIONAL SUBVARIETIES

被引：2

作者：

Chierici, Elena ^{[1
]}

Occhetta, Gianluca ^{[1
]}

机构：

[1] Univ Trent, Dipartimento Matemat, I-38050 Povo, TN, Italy

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2010年 / 47卷 / 01期

关键词：

Fano manifolds; rational curves; EXTREMAL RAYS; BUNDLES; FIVEFOLDS; INDEX; CONE;

D O I：

10.4134/JKMS.2010.47.1.189

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study Fano manifolds of pseudoindex greater than one and dimension greater than five, which are blow-ups of smooth varieties along smooth centers of dimension equal to the pseudoindex of the manifold. We obtain a classification of the possible cones of curves of these manifolds, and we prove that there is only one such manifold without a fiber type elementary contraction.

引用

页码：189 / 213

页数：25

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