Poincaré problem for weighted projective foliations

被引：0
|
作者：
F. E. Brochero Martínez
M. Corrêa
A. M. Rodríguez
机构：
[1] Universidade Federal de Minas Gerais,Departamento de Matemática
来源：
Bulletin of the Brazilian Mathematical Society, New Series | 2017年 / 48卷
关键词：
Holomorphic foliations; Poincaré problem; Weighted projective space; Baum–Bott Theorem; Primary 32S65; Secondary 37F75;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We give an upper bound of the degree of quasi-smooth hypersurfaces which are invariant by a one dimensional holomorphic foliation on a weighted projective space. This bound depends only on the degree of the foliation and the weights of the space.
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页码：219 / 235
页数：16
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