Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 1268

Preprint Number 1268

Previous Next Preprint server

1268. Taylor Dupuy, James Freitag, Aaron Royer
Order one differential equations on nonisotrivial algebraic curves

Submission date: 27 July 2018


In this paper we provide new examples of geometrically trivial strongly minimal differential algebraic varieties living on nonisotrivial curves over differentially closed fields of characteristic zero. These are systems whose solutions only have binary algebraic relations between them. Our technique involves developing a theory of τ-forms, and building connections to deformation theory. This builds on previous work of Buium and Rosen. In our development, we answer several open questions posed by Rosen and Hrushovski-Itai.

Mathematics Subject Classification:

Keywords and phrases:

Full text arXiv 1707.08714: pdf, ps.

Last updated: August 4 2017 12:09 Please send your corrections to: