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).
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页码：799 / 814
页数：16
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