Manifolds Covered by Lines and Extremal Rays

被引：5

作者：

Novelli, Carla ^{[1
,2
]}

Occhetta, Gianluca ^{[3
]}

机构：

[1] Univ Pavia, Dipartimento Matemat F Casorati, I-27100 Pavia, Italy

[2] Univ Padua, Dipartimento Matemat Pura & Applicata, I-35121 Padua, Italy

[3] Univ Trento, Dipartimento Matemat, I-38123 Povo, TN, Italy

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2012年 / 55卷 / 04期

关键词：

rational curves; extremal rays; FANO; CONJECTURE; CURVES;

D O I：

10.4153/CMB-2011-119-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X be a smooth complex projective variety, and let H is an element of Pic(X) be an ample line bundle. Assume that X is covered by rational curves with degree one with respect to H and with anticanonical degree greater than or equal to (dim X - 1)/2. We prove that there is a covering family of such curves whose numerical class spans an extremal ray in the cone of curves NE(X).

引用

页码：799 / 814

页数：16

共 50 条

[31] On threefolds covered by lines
Mezzetti, E
Portelli, D
ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 2000, 70 (1): : 211 - 238
[32] On threefolds covered by lines
Emilia Mezzetti
Dario Portelli
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2000, 70 : 211 - 238
[33] CLASS OF MANIFOLDS COVERED BY EUCLIDEAN SPACE
MAXWELL, JW
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 46 (03) : 414 - 418
[34] ON SIMPLICIAL COMPLEXES COVERED BY TOPOLOGICAL MANIFOLDS
GLASER, LC
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 17 (02): : 472 - &
[35] THE MANIFOLDS COVERED BY A RIEMANNIAN HOMOGENEOUS MANIFOLD
WOLF, JA
AMERICAN JOURNAL OF MATHEMATICS, 1960, 82 (03) : 661 - 688
[36] Extremal metrics for the eigenvalues of the Laplacian on manifolds with boundary
Longa, Eduardo
JOURNAL OF GEOMETRIC ANALYSIS, 2025, 35 (02)
[37] A LAGRANGIAN APPROACH TO EXTREMAL CURVES ON STIEFEL MANIFOLDS
Huper, Knut
Markina, Irina
Leite, Fatima Silva
JOURNAL OF GEOMETRIC MECHANICS, 2021, 13 (01): : 55 - 72
[38] Blowing up extremal Kahler manifolds II
Szekelyhidi, Gabor
INVENTIONES MATHEMATICAE, 2015, 200 (03) : 925 - 977
[39] Extremal K?hler Metrics of Toric Manifolds
An-Min LI
Li SHENG
ChineseAnnalsofMathematics,SeriesB, 2023, (06) : 827 - 836
[40] Extremal Kähler Metrics of Toric Manifolds
An-Min Li
Li Sheng
Chinese Annals of Mathematics, Series B, 2023, 44 : 827 - 836

← 1 2 3 4 5 →