Foliations with radial Kupka set and pencils of Calabi-Yau hypersurfaces

被引：3

作者：

Calvo-Andrade, Omegar ^{[1
]}

Mendes, Luis Gustavo ^{[1
]}

Pan, Ivan ^{[1
]}

机构：

[1] Univ Fed Rio Grande Sul, Dept Matemat, BR-91509900 Porto Alegre, RS, Brazil

来源：

COMPOSITIO MATHEMATICA | 2006年 / 142卷 / 06期

关键词：

holomorphic foliation; fibration; Calabi-Yau manifold;

D O I：

10.1112/S0010437X06002375

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that holomorphic singular codimension one foliations of the complex projective space with a Kupka singular set of radial type and verifying some global hypotheses have rational first integral. The generic elements of such pencils are Calabi-Yau.

引用

页码：1587 / 1593

页数：7

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