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arxiv: math/0212334 · v1 · submitted 2002-12-24 · 🧮 math.CA · math.CV· math.DS

Lectures on meromorphic flat connections

classification 🧮 math.CA math.CVmath.DS
keywords problemsabelianapplicationsbifurcationsconnectionsdelivereddifferentialequations
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These notes form an extended version of a minicourse delivered in Universite de Montreal (June 2002) within the framework of a NATO workshop ``Normal Forms, Bifurcations and Finiteness Problems in Differential Equations''. The focus is on Poincare--Dulac theory of ``Fuchsian'' (logarithmic) singularities of integrable systems, with applications to problems on zeros of Abelian integrals in view.

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