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arXiv · 0908.4230

Generalised Hasse-Schmidt varieties and their jet spaces

Rahim Moosa·Thomas Scanlon
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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.

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BibTeXRIS

Rahim Moosa, Thomas Scanlon. 2010-11-25. Generalised Hasse-Schmidt varieties and their jet spaces. https://doi.org/10.1112/plms%2Fpdq055

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