A Poincare type inequality for one-dimensional multiprojective foliations

被引：6
|
作者：
Correa, Mauricio, Jr. [1 ]
Soares, Marcio G. [2 ]
机构：
[1] Univ Fed Vicosa, Dept Matemat, BR-36571000 Vicosa, MG, Brazil
[2] Univ Fed Minas Gerais, Dept Matemat, BR-31270901 Belo Horizonte, MG, Brazil
来源：
BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | 2011年 / 42卷 / 03期
关键词：
holomorphic foliations; Riccati foliations; Poincare's inequality;
D O I：
10.1007/s00574-011-0026-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study one-dimensional holomorphic foliations on products of complex projective spaces and present results giving the number of singularities, counting multiplicities, of a generic foliation, a criterion for a foliation to be Riccati and a Poincare type inequality, relating degrees of foliations to degrees of hypersurfaces which are invariant by them.
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页码：485 / 503
页数：19
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