Lectures on meromorphic flat connections

Details Lectures on meromorphic flat connections Lectures on meromorphic flat connections

2002-12-24

arxiv.org/abs/math/0212334v1

In: Normal forms, Bifurcations and Finiteness Problems in Differential Equations (Yu. Ilyashenko and Ch. Rousseau, eds), Kluwe

Mathematics

Classical Analysis and ODEs

Scientific paper

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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