Complete Abelian integrals for polynomials whose generic fiber is biholomorphic to

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• 作者：Salom&oacute ; n Rebollo-Perdomo ^{srebollo@mat.uab.cat}
• 关键词：Abelian integrals ; Weak Hilbert&rsquo ; s 16th problem
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2012
• 期刊代码：76_0022247x
• 类别：mt
• 出版时间：15 October, 2012
• 卷：394
• 期：2
• 页码：562-570
• 文件大小：252 K

摘要

Let be a polynomial of degree on such that its generic fiber is biholomorphic to , and let be an arbitrary polynomial 1-form of degree on . We give an upper bound depending only on and for the number of isolated zeros of the complete Abelian integral defined by and .