FOLIATIONS IN ALGEBRAIC SURFACES HAVING A RATIONAL FIRST INTEGRAL

被引：14
|
作者：
Garcia Zamora, Alexis [1 ]
机构：
[1] UNAM, Unidad Morelia, Inst Matemat, Nicolas Romero 150, Colonia Ctr Morelia, Michoacan, Mexico
来源：
PUBLICACIONS MATEMATIQUES | 1997年 / 41卷 / 02期
关键词：
D O I：
10.5565/PUBLMAT_41297_03
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Given a foliation F in an algebraic surface having a rational first integral a genus formula for the general solution is obtained. In the case S = P-2 some new counter-examples to the classic formulation of the Poincare problem are presented. If S is a rational surface and F has singularities of type (1, 1) or (1,-1) we prove that the general solution is a non-singular curve.
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页码：357 / 373
页数：17
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