Complete Abelian integrals for polynomials whose generic fiber is biholomorphic to C^*
Rebollo-Perdomo, Salomón (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2012
Abstract:	Let H be a polynomial of degree m + 1 on C2 such that its generic fiber is biholomorphic to C∗, and let ω be an arbitrary polynomial 1-form of degree n on C2. We give an upper bound depending only on m and n for the number of isolated zeros of the complete Abelian integral defined by H and ω.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; Versió acceptada per publicar
Subject:	Abelian integrals ; Weak Hilbert's 16th problem

DOI: 10.1016/j.jmaa.2012.05.014

Postprint 12 p, 350.1 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Published articles