On the multiplicity of hyperelliptic integrals

DOI10.1088/0951-7715/17/6/004zbMath1068.34083arXivmath/0312323OpenAlexW3102685535MaRDI QIDQ4652939

Claire Moura

Publication date: 28 February 2005

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0312323

zbMATH Keywords

multiplicityupper boundhyperelliptic integralsAbelian integrals

Mathematics Subject Classification ID

Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35)

Related Items (2)

Meromorphic connections on \(\mathbb P^1\) and the multiplicity of Abelian integrals ⋮ A bound on the multiplicity of horizontal sections for a connection on a Riemann surface

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