MODNET
Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 680

Preprint Number 680

Previous Next Preprint server


680. James Freitag, Omar Leon Sanchez, William Simmons
On completeness and linear dependence for differential algebraic varieties
E-mail: , ,

Submission date: 23 January 2014.

Abstract:

We deal with two foundational questions on complete differential algebraic varieties. We establish, by means of the differential algebraic version of Bertini's theorem and assuming a weaker form of the catenary conjecture, that in order to verify (differential) completeness one can restrict second factors to zero-dimensional differential varieties. Then, we extend Kolchin's results on linear dependence over projective varieties in the constants, to linear dependence over arbitrary complete differential varieties.

Mathematics Subject Classification: 03C60, 12H05

Keywords and phrases: differential algebraic geometry, model theory

Full text: pdf, dvi, ps.


Last updated: January 26 2014 20:40 Please send your corrections to: