Submission date: 6 December 2012.

Abstract:

We prove a first principle of preservation of multiplicity in difference geometry, paving the way for the development of a more general intersection theory. In particular, the fibres of a \sigma-finite morphism between difference curves are all of the same size, when counted with correct multiplicities.

Mathematics Subject Classification: 03C60, 11G25 (Primary) 14G10, 14G15 (Secondary)

Keywords and phrases:

Full text arXiv 1112.0804: pdf, ps.