Birational automorphisms of a three-dimensional double quadric with an elementary singularity

被引：3
|
作者：
Grinenko, MM [1 ]
机构：
[1] Russian Acad Sci, VA Steklov Math Inst, Moscow 117901, Russia
来源：
SBORNIK MATHEMATICS | 1998年 / 189卷 / 1-2期
关键词：
D O I：
10.1070/SM1998v189n01ABEH000294
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is proved that the group of birational automorphisms of a three-dimensional double quadric with a singular point arising from a double point on the branch divisor is a semidirect product of the free group generated by birational involutions of a special form and the group of regular automorphisms. The proof is based on the method of 'untwisting' maximal singularities of linear systems.
引用
收藏
页码：97 / 114
页数：18
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