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arXiv · 2606.29642

Definable Eventual Equalizers

Julian Ziegler Hunts
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Abstract

The solutions of algebraic differential equations in certain valued differential fields, including the differential field of transseries, can be analyzed using a Newton diagram method. In this paper, we show that (eventual) equalizers, a crucial part of this process, can be obtained uniformly and definably from the coefficients of the input differential polynomials. We also obtain similar definability results for a certain compositional conjugation which is used repeatedly as an intermediate simplification step.

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Julian Ziegler Hunts. 2026-06-28. Definable Eventual Equalizers. https://arxiv.org/abs/2606.29642

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