13 citations · 28 across the 5 of their papers we have counts for
5 papers
Lang-Weil Type Estimates in Finite Difference Fields
Martin Hils, Ehud Hrushovski, Jinhe Ye +1
We prove a uniform estimate of the number of points for difference algebraic varieties in finite difference fields in the spirit of Lang-Weil. More precisely, we give uniform lower…
Definable Equivariant Retractions in Non-Archimedean Geometry
Martin Hils, Ehud Hrushovski, Pierre Simon
For an algebraic group definable over a model of , or more generally a definable subgroup of an algebraic group, we study the stable completion $\widehat{G…
Model Theory of Compact Complex Manifolds with an Automorphism
Martin Bays, Martin Hils, Rahim Moosa
Motivated by possible applications to meromorphic dynamics, and generalising known properties of difference-closed fields, this paper studies the theory CCMA of compact complex man…
Some Definability Results in Abstract Kummer Theory
Martin Bays, Misha Gavrilovich, Martin Hils
Let be a semiabelian variety over an algebraically closed field, and let be an irreducible subvariety not contained in a coset of a proper algebraic subgroup of . We sho…
Generic Automorphisms and Green Fields
Martin Hils
We show that the generic automorphism is axiomatisable in the green field of Poizat (once Morleyised) as well as in the bad fields which are obtained by collapsing this green field…