Multidimensional generalization of the Il'yashenko theorem on abelian integrals

DOI10.1007/BF02466015zbMath0930.37036MaRDI QIDQ1392329

I. A. Khovanskaya

Publication date: 11 October 1998

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

singularitypolynomial formabelian integralexact form

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Analytic theory of abelian varieties; abelian integrals and differentials (14K20) Flows on surfaces (37E35) Other operations on complex singularities (32S70)

Related Items (4)

Centennial History of Hilbert's 16th Problem ⋮ An explicit formula for period determinant ⋮ Singular points and limit cycles of planar polynomial vector fields ⋮ Bounded decomposition in the Brieskorn lattice and Pfaffian Picard--Fuchs systems for Abelian integrals

Cites Work

• Deformations of holomorphic foliations having a meromorphic first integral.
• A TORELLI THEOREM FOR ALGEBRAIC SURFACES OF TYPEK3

This page was built for publication: Multidimensional generalization of the Il'yashenko theorem on abelian integrals