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Preprint Number 199

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Rahim Moosa and Thomas Scanlon
Generalised Hasse varieties and their jet spaces
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Submission date: 8 September 2009.

Abstract:

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

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