Submission date: 4 June 2021

Abstract:

In this manuscript 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 nonminimality of Freitag and Moosa. Our techniques are sufficient to show that generic order h differential equations with nonconstant coefficients are strongly minimal, answering a question of Poizat (1980).

Mathematics Subject Classification: 03C60, 12H05

Keywords and phrases:

Full text arXiv 2106.02627: pdf, ps.