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.
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页码：1587 / 1593
页数：7
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