Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 199

Preprint Number 199

Previous Next Preprint server

Rahim Moosa and Thomas Scanlon
Generalised Hasse varieties and their jet spaces

Submission date: 8 September 2009.


This work provides a unified formalism for studying difference and (Hasse-) differential algebraic geometry, by introducing a theory of "iterative Hasse rings and schemes". As an application, Hasse jet spaces are constructed generally, allowing the development of the theory for arbitrary systems of algebraic partial difference/differential equations, where constructions by earlier authors applied only to the finite dimensional case. In particular, it is shown that under appropriate separability assumptions a Hasse variety is determined by its jet spaces at a point.

Mathematics Subject Classification: 12H99; 14A99

Keywords and phrases:

Full text: pdf.

Last updated: September 21 2009 13:52 Please send your corrections to: