Generalized Tsen's theorem and rationally connected Fano fibrations

被引：2
|
作者：
Campana, F [1 ]
Peternell, T
Pukhlikov, AV
机构：
[1] Univ Nancy 1, Dept Math, Nancy, France
[2] Univ Bayreuth, Math Inst, Bayreuth, Germany
[3] VA Steklov Math Inst, Moscow 117333, Russia
来源：
SBORNIK MATHEMATICS | 2002年 / 193卷 / 9-10期
关键词：
D O I：
10.1070/SM2002v193n10ABEH000685
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The existence is proved and an explicit algebraic description is given for sections of a fibration X/C over a curve C whose general fibre is a Fano complete intersection in a product of weighted projective spaces. It is proved also that a fibration X/P-1 whose general fibre is a smooth Fano threefold is rationally connected.
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页码：1443 / 1468
页数：26
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