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

共 50 条

[41] On the Quantum Cohomology of Blow-ups of Four-dimensional Quadrics
Jian Xun Hu
Hua Zhong Ke
Chang Zheng Li
Lei Song
Acta Mathematica Sinica, English Series, 2024, 40 : 313 - 328
[42] On the Quantum Cohomology of Blow-ups of Four-dimensional Quadrics
Hu, Jian Xun
Ke, Hua Zhong
Li, Chang Zheng
Song, Lei
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2024, 40 (01) : 313 - 328
[43] Extremal Graphs for Blow-Ups of Keyrings
Ni, Zhenyu
Kang, Liying
Shan, Erfang
Zhu, Hui
GRAPHS AND COMBINATORICS, 2020, 36 (06) : 1827 - 1853
[44] Two inequalities for a sequence of blow-ups
A. V. Pukhlikov
Mathematical Notes, 2015, 97 : 970 - 973
[45] b-STABILITY AND BLOW-UPS
Donaldson, S. K.
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2014, 57 (01) : 125 - 137
[46] Spacetime singularities and curvature blow-ups
Racz, Istvan
GENERAL RELATIVITY AND GRAVITATION, 2023, 55 (01)
[47] Tiling transitive tournaments and their blow-ups
Yuster, R
ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2003, 20 (02): : 121 - 133
[48] Spacetime singularities and curvature blow-ups
István Rácz
General Relativity and Gravitation, 2023, 55
[49] Rouquier dimension of some blow-ups
Dmitrii Pirozhkov
European Journal of Mathematics, 2023, 9
[50] ON THE FINITE GENERATION OF SYMBOLIC BLOW-UPS
HUNEKE, C
MATHEMATISCHE ZEITSCHRIFT, 1982, 179 (04) : 465 - 472

← 1 2 3 4 5 →