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.

引用

页码：1039 / 1071

页数：33

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