MODNET
Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 631

Preprint Number 631

Previous Next Preprint server


631. Omar Leon Sanchez
Contributions to the model theory of partial differential fields
E-mail:

Submission date: 24 September 2013.

Abstract:

[PhD thesis]
In this thesis three topics on the model theory of partial differential fields are considered: the generalized Galois theory for partial differential fields, geometric axioms for the theory of partial differentially closed fields, and the existence and properties of the model companion of the theory of partial differential fields with an automorphism. The approach taken here to these subjects is to relativize the algebro geometric notions of prolongation and D-variety to differential notions with respect to a fixed differential structure.

Mathematics Subject Classification:

Keywords and phrases:

Full text arXiv 1309.6330: pdf, ps.


Last updated: October 2 2013 10:00 Please send your corrections to: