3 papers
math.AG2019
Ranks of abelian varieties and the full Mordell-Lang conjecture in dimension one
Arno Fehm, Sebastian Petersen
Let be a non-zero abelian variety over a field that is not algebraic over a finite field. We prove that the rational rank of the abelian group is infinite when i…
math.AG2019
On the semisimplicity of reductions and adelic openness for -rational compatible systems over global function fields
Gebhard Böckle, Wojciech Gajda, Sebastian Petersen
Let be a normal geometrically connected variety over a finite field of characteristic~. Let be a number field. Using automorphic methods over global function fields,…
math.AG2013
On varieties of Hilbert type
Lior Bary-Soroker, Arno Fehm, Sebastian Petersen
A variety X over a field K is of Hilbert type if the set of rational points X(K) is not thin. We prove that if f: X\to S is a dominant morphism of K-varieties and both S and all fi…