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Formal conjugacy and asymptotic differential algebra

Published 25 Sep 2024 in math.DS, math.LO, and math.RA | (2409.17036v3)

Abstract: We study conjugacy of formal derivations on fields of generalised power series in characteristic 0. Casting the problem of Poincar\'e resonance in terms of asymptotic differential algebra, we give conditions for conjugacy of parabolic flat log-exp transseries, flat grid-based transseries, logarithmic transseries, power series with exponents and coefficients in an ordered field, and formal Puiseux series.

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Authors (1)

  1. Vincent Bagayoko 

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