ON THE DENSITY OF SECOND ORDER DIFFERENTIAL EQUATIONS WITHOUT ALGEBRAIC SOLUTIONS ON P2

被引：0
|
作者：
Falla Luza, M. [1 ]
机构：
[1] IMPA, BR-22460320 Rio De Janeiro, Brazil
来源：
PUBLICACIONS MATEMATIQUES | 2011年 / 55卷 / 01期
关键词：
Holomorphic foliation; second order differential equation; FOLIATIONS; INVARIANT; SETS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that a generic second order differential equation in the projective plane has no algebraic solutions when the bidegree is big enough. We also prove an analogous result for webs on P-2.
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页码：163 / 183
页数：21
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