Remarks on 16th weak Hilbert problem for n=2

被引：48
|
作者：
Li, CZ [1 ]
Zhang, ZH
机构：
[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
[2] Peking Univ, Inst Math, Beijing 100871, Peoples R China
来源：
NONLINEARITY | 2002年 / 15卷 / 06期
关键词：
D O I：
10.1088/0951-7715/15/6/310
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we obtain the exact upper bound on the number of zeros of. Abelian integrals for. all quadratic polynomial one-form over closed orbits of generic quadratic Hamiltonian systems having a saddle loop and a cusp point. This result, together with the results by Horozov and Iliev (1994 Proc. Lond. Math. Soc. 69 198-224), by Gavrilov (2001 Invent. Math. 143 449-97), and by Zhang and Li (1993 Res. Rep. 33; Adv. Math. 26 445-60), gives the final answer to the weak Hilbert 16th problem for n = 2.
引用
收藏
页码：1975 / 1992
页数：18
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