6 citations · 6 across the 4 of their papers we have counts for
5 papers
Non-locally modular regular types in classifiable theories
Elisabeth Bouscaren, Bradd Hart, Ehud Hrushovski +1
We introduce the notion of strong -semi-regularity and show that if is a regular type which is not locally modular then any -semi-regular type is strongly -semi-regula…
On function field Mordell-Lang: the semiabelian case and the socle theorem
Franck Benoist, Elisabeth Bouscaren, Anand Pillay
We here aim to complete our model-theoretic account of the function field Mordell-Lang conjecture, avoiding appeal to dichotomy theorems for Zariski geometries, where we now consid…
On function field Mordell-Lang and Manin-Mumford
Franck Benoist, Elisabeth Bouscaren, Anand Pillay
We present a reduction of the function field Mordell-Lang conjecture to the function field Manin-Mumford conjecture, in all characteristics, via model theory, but avoiding recourse…
Semiabelian varieties over separably closed fields, maximal divisible subgroups, and exact sequences
Franck Benoist, Elisabeth Bouscaren, Anand Pillay
Given a separably closed field K of positive characteristic and finite degree of imperfection we study the # functor which takes a semiabelian variety G over K to the maximal divis…
Groups interpretable in theories of fields
Elisabeth Bouscaren
We survey some results on the structure of the groups which are definable in theories of fields involved in the applications of model theory to Diophantine geometry. We focus more…