scientific article; zbMATH DE number 5182613

zbMath1186.14013arXivmath/0509727MaRDI QIDQ5757096

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Publication date: 24 August 2007

Full work available at URL: https://arxiv.org/abs/math/0509727

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zbMATH Keywords

critical pointcritical valuevanishing cyclelevel curveabelian integralcomplex polynomial in two variablesbidisk containing the topology of the level curveperiod determinant

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Polynomials and rational functions of one complex variable (30C10)

Related Items (3)

An explicit formula for period determinant ⋮ Polynomial bounds for the oscillation of solutions of Fuchsian systems ⋮ On the number of zeros of Abelian integrals. A constructive solution of the infinitesimal Hilbert sixteenth problem

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