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Preprint Number 105
105. Zoé Chatzidakis, Ehud Hrushovski
Difference fields and descent in algebraic dynamics - II
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
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