On special quadratic birational transformations of a projective space into a hypersurface

被引：5

作者：

Stagliano, Giovanni ^{[1
]}

机构：

[1] Univ Study Catania, Dept Math & Comp Sci, I-95125 Catania, Italy

来源：

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2012年 / 61卷 / 03期

关键词：

Birational transformation; Base locus; Quadric hypersurface; Entry locus; Tangential projection;

D O I：

10.1007/s12215-012-0099-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study transformations as in the title with emphasis on those having smooth connected base locus, called "special". In particular, we classify all special quadratic birationalmaps into a quadric hypersurface whose inverse is given by quadratic forms by showing that there are only four examples having general hyperplane sections of Severi varieties as base loci.

引用

页码：403 / 429

页数：27

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