1 citations · 2 across the 11 of their papers we have counts for
13 papers
Fibration theorems for varieties with the weak Hilbert property
Sebastian Petersen
The weak Hilbert property (WHP) for varieties over fields of characteristic zero was introduced by Corvaja and Zannier in 2017. There exist integral variants of WHP for arithmetic…
Finiteness properties of torsion fields of abelian varieties
Wojciech Gajda, Sebastian Petersen
Let be an abelian variety defined over a field We study finite generation properties of the profinite group and of certain closed normal subgroups ther…
Local to global principles for homomorphisms of abelian schemes
Wojciech Gajda, Sebastian Petersen
Let and be abelian varieties defined over the function field of a smooth algebraic variety We establish criteria, in terms of restriction maps to subvarieties…
Ramified covers of abelian varieties over torsion fields
Lior Bary-Soroker, Arno Fehm, Sebastian Petersen
We study rational points on ramified covers of abelian varieties over certain infinite Galois extensions of . In particular, we prove that every elliptic curve over…
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…
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,…
A variational open image theorem in positive characteristic
Gebhard Böckle, Wojciech Gajda, Sebastian Petersen
In this note we prove a variational open adelic image theorem for the Galois action on the cohomology of smooth proper -schemes where is a smooth variety over a finitely gen…
Group theoretical independence of -adic Galois representations
Sebastian Petersen
Let be a finitely generated field of characteristic zero and a smooth projective variety. Fix . For every prime number let be t…
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…
Independence of l-adic representations of geometric Galois groups
Gebhard Boeckle, Wojciech Gajda an Sebastian Petersen
Let k be an algebraically closed field of arbitrary characteristic,let K/k be a finitely generated field extension and let X be a separated scheme of finite type over K. For each p…
Big monodromy theorem for abelian varieties over finitely generated fields
Sara Arias-de-Reyna, Wojciech Gajda, Sebastian Petersen
An abelian variety over a field K is said to have big monodromy, if the image of the Galois representation on l-torsion points, for almost all primes l contains the full symplectic…
Independence of -adic Galois representations over function fields
Wojciech Gajda, Sebastian Petersen
Let be a finitely generated extension of . We consider the family of -adic representations ( varies through the set of all prime numbers) of the absolut…
Abelian varieties over finitely generated fields and the conjecture of Geyer and Jarden on torsion
Sara Arias-de-Reyna, Wojciech Gajda, Sebastian Petersen
In this paper we prove the Geyer-Jarden conjecture on the torsion part of the Mordell-Weil group for a large class of abelian varieties defined over finitely generated fields of ar…