6 citations · 6 across the 2 of their papers we have counts for
3 papers
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…