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arXiv · 2609.18730

A minimal type of Morley rank $ω$ in a partial differential field

Piotr Kowalski
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Abstract

We consider the Kolchin-generic complete $1$-type of the inviscid Burgers equation $Dx=x\partial x$ in a differentially closed field of characteristic zero with two commuting derivations. We prove that this type has Lascar rank $1$ and Morley rank $ω$.

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Piotr Kowalski. 2026-09-16. A minimal type of Morley rank $ω$ in a partial differential field. https://arxiv.org/abs/2609.18730

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