Painleve equations, vector fields, and ranks in differential fields

James Freitag

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arXiv · 1608.04756

Painleve equations, vector fields, and ranks in differential fields

James Freitag

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Abstract

Model theoretic ranks of solutions to Painleve equations are calculated, and the type of the generic solution of the second Painleve equation is shown to be disintegrated, strengthening a theorem of Nagloo. A question of Hrushovski and Scanlon regarding Lascar rank and Morley rank in differential fields is answered using planar vector fields.

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BibTeX RIS

James Freitag. 2016-08-16. Painleve equations, vector fields, and ranks in differential fields. https://arxiv.org/abs/1608.04756

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