ON THE SINGULARITIES OF SURFACES RULED BY CONICS

被引：1

作者：

Brundu, Michela ^{[1
]}

Sacchiero, Gianni ^{[1
]}

机构：

[1] Univ Trieste, Dipartimento Matemat & Geosci, I-34127 Trieste, Italy

来源：

COMMUNICATIONS IN ALGEBRA | 2014年 / 42卷 / 05期

关键词：

Conic bundle; Projective surface; Rational singularities; Ruled surface;

D O I：

10.1080/00927872.2012.749884

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We classify the singularities of a surface ruled by conics: they are rational double points of type A(n) or D-n. This is proved by showing that they arise from a precise series of blow-ups of a suitable surface geometrically ruled by conics. We determine also the family of such surfaces which are birational models of a given surface ruled by conics and obtained in a minimal way from it.

引用

页码：1857 / 1879

页数：23

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