Author:
DeVilbiss Matthew,Freitag James
Abstract
In this paper we develop a new technique for showing that a nonlinear algebraic differential equation is strongly minimal based on the recently developed notion of the degree of non-minimality of Freitag and Moosa. Our techniques are sufficient to show that generic order$h$differential equations with non-constant coefficients are strongly minimal, answering a question of Poizat (1980).
Subject
Algebra and Number Theory
Reference42 articles.
1. Solutions of the second and fourth Painlevé equations, I
2. Difference fields and descent in algebraic dynamics. I
3. Algebraic independence of generic Painlevé transcendents: $P_{\it III}$ and $P_{\it VI}$;Nagloo;Bull. Lond. Math. Soc,2019
4. HS94 Hrushovski, E. and Sokolović, Ž. , Strongly minimal sets in differentially closed fields. Unpublished manuscript (1994); for further information, see [].
5. Jet spaces of varieties over differential and difference fields
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