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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,…