Birationally rigid varieties with a pencil of double Fano covers. I

被引：6
|
作者：
Pukhlikov, AV [1 ]
机构：
[1] Russian Acad Sci, VA Steklov Math Inst, Moscow, Russia
来源：
SBORNIK MATHEMATICS | 2004年 / 195卷 / 7-8期
关键词：
D O I：
10.1070/SM2004v195n07ABEH000837
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The general Fano fibration pi: V --> P-1 the fibre of which is a double Fano hypersurface of index 1 is proved to be birationally superrigid, provided it is sufficiently twisted over the base. In particular, there exist on V no other structures of a rationally convex fibration. The proof is based on the method of maximal singularities.
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页码：1039 / 1071
页数：33
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