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Preprint Number 105

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105. Zoé Chatzidakis, Ehud Hrushovski
Difference fields and descent in algebraic dynamics - II
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Submission date: 24 November 2007.


This second part of the paper strengthens the descent theory described in the first part to rational maps and arbitrary base fields. We obtain in particular a decomposition of any difference field extension into a tower of finite, field-internal and one-based difference field extensions. This is needed in order to obtain the "dynamical Northcott" Theorem 1.11 of Part I in sharp form.

Mathematics Subject Classification: 03C60, 12H10, 14GXX

Keywords and phrases: model theory, difference fields, algebraic dynamics

Full text arXiv: pdf, ps.

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