Analytic moduli for parabolic Dulac germs - Archive ouverte HAL
Article Dans Une Revue Russian Mathematical Surveys Année : 2021

Analytic moduli for parabolic Dulac germs

Résumé

This paper gives moduli of analytic classification for parabolic Dulac germs (that is, almost regular germs). Dulac germs appear as first return maps of hyperbolic polycycles. Their moduli are given by a sequence of ecalle-Voronin-type germs of analytic diffeomorphisms. The result is stated in a broader class of parabolic generalized Dulac germs having power- logarithmic asymptotic expansions.

Dates et versions

hal-03467020 , version 1 (06-12-2021)

Identifiants

Citer

Pavao Mardešić, Maja Resman. Analytic moduli for parabolic Dulac germs. Russian Mathematical Surveys, 2021, 76 (3), pp.389-460. ⟨10.1070/RM10001⟩. ⟨hal-03467020⟩
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