Submission date: 20 December 2012.

Abstract:

We investigate the relationship between algebraic integrability and the model theoretic notion of internality. Our main result give a geometric account of almost internality and indeed we show that this notion correspond in a reasonable way to having enough “good” first integrals.

Mathematics Subject Classification: 34M15, 14H70, 03C98

Keywords and phrases:

Full text arXiv 1212.4753: pdf, ps.