ON FANO MANIFOLDS WITH AN UNSPLIT DOMINATING FAMILY OF RATIONAL CURVES

被引：4

作者：

Novelli, Carla ^{[1
]}

机构：

[1] Univ Padua, Dipartimento Matemat, I-35121 Padua, Italy

来源：

KODAI MATHEMATICAL JOURNAL | 2012年 / 35卷 / 03期

关键词：

Fano manifolds; rational curves; PROJECTIVE-MANIFOLDS; CONJECTURE; NUMBER; MUKAI;

D O I：

10.2996/kmj/1352985447

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study Fano manifolds X admitting an unsplit dominating family of rational curves and we prove that the Generalized Mukai Conjecture holds if X has pseudoindex i(X) = (dim X)/3 or dimension dim X = 6. We also show that this conjecture is true for all Fano manifolds with i(X) > (dim X)/3.

引用

页码：425 / 438

页数：14

共 15 条

[11] MUMFORD D, 1999, LECT NOTES MATH, V1358
[12] Projective Manifolds Containing a Large Linear Subspace with Nef Normal Bundle
Novelli, Carla
Occhetta, Gianluca
[J]. MICHIGAN MATHEMATICAL JOURNAL, 2011, 60 (02) : 441 - 462
[13] Rational curves and bounds on the Picard number of Fano manifolds
Novelli, Carla
Occhetta, Gianluca
[J]. GEOMETRIAE DEDICATA, 2010, 147 (01) : 207 - 217
[14] A characterization of products of projective spaces
Occhetta, Gianluca
[J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2006, 49 (02): : 270 - 280
[15] ON A CONJECTURE OF MUKAI
WISNIEWSKI, JA
[J]. MANUSCRIPTA MATHEMATICA, 1990, 68 (02) : 135 - 141

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