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math.LO2007
Difference fields and descent in algebraic dynamics, II
Zoé Chatzidakis, Ehud Hrushovski
This second part of the paper strengthens the descent theory described in the first part to rational maps, arbitrary base fields, and dynamics given by correspondences. We obtain i…
math.LO2007★ 2 cited
Difference fields and descent in algebraic dynamics - I
Zoé Chatzidakis, Ehud Hrushovski
We draw a connection between the model-theoretic notions of modularity (or one-basedness), orthogonality and internality, as applied to difference fields, and questions of descent…
math.CA2007
On the Definitions of Difference Galois Groups
Zoé Chatzidakis, Charlotte Hardouin, Michael F. Singer
We compare several definitions of the Galois group of a linear difference equation that have arisen in algebra, analysis and model theory and show, that these groups are isomorphic…