Lectures on meromorphic flat connections
نویسندگان
چکیده
These notes form an extended version of a minicourse delivered in Université de Montréal (June 2002) within the framework of a NATO workshop “Normal Forms, Bifurcations and Finiteness Problems in Differential Equations”. The focus is on Poincaré–Dulac theory of “Fuchsian” (logarithmic) singularities of integrable systems, with applications to problems on zeros of Abelian integrals in view.
منابع مشابه
Good formal structure for meromorphic flat connections on smooth projective surfaces
We prove the algebraic version of a conjecture of C. Sabbah on the existence of the good formal structure for meromorphic flat connections on surfaces after some blow up.
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We prove existence of good formal structures for flat meromorphic connections on surfaces after suitable blowing up; this verifies a conjecture of Sabbah, and extends a result of Mochizuki for algebraic connections. Our proof uses a numerical criterion, in terms of spectral behavior of differential operators, under which one can obtain a decomposition of a formal flat connection in arbitrary di...
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تاریخ انتشار 2002