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
收藏
页码：1857 / 1879
页数：23
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