Geometry of the Stable Ruled Surface Over an Elliptic Curve

被引：0

作者：

Diaw, Arame ^{[1
]}

机构：

[1] Univ Rennes, CNRS, IRMAR, UMR 6625, F-35000 Rennes, France

来源：

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | 2021年 / 52卷 / 03期

关键词：

Elliptic curve; Ruled surface; Riccati foliation and Singular web; PLANAR WEBS; RANK;

D O I：

10.1007/s00574-020-00224-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the stable ruled surface S-1 over an elliptic curve. There is a unique foliation on S-1 transverse to the fibration. The minimal self-intersection sections also define a 2-web. We prove that the 4-web defined by the fibration, the foliation and the 2-web is locally parallelizable.

引用

页码：645 / 662

页数：18

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