On manifolds swept out by high dimensional quadrics

被引：12

作者：

Beltrametti, Mauro C. ^{[1
]}

Ionescu, Paltin ^{[1
,2
,3
]}

机构：

[1] Univ Genoa, Dipartimento Matemat, I-16146 Genoa, Italy

[2] Univ Bucharest, Bucharest, Romania

[3] Romanian Acad, Inst Math, Bucharest, Romania

来源：

MATHEMATISCHE ZEITSCHRIFT | 2008年 / 260卷 / 01期

关键词：

swept out by quadrics; covered by lines; scroll; hyperquadric fibration;

D O I：

10.1007/s00209-007-0265-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a completely different, much shorter, proof of a substantial generalization of the main result from Kachi and Sato (Mem. Am. Math. Soc. 160:763, 2002). It states that embedded projective n-folds swept out by quadrics of dimension at least [n/2] + 2 are either scrolls or hyperquadric fibrations, which are also Mori contractions.

引用

页码：229 / 234

页数：6

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