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math.NT2022
Artin's Conjecture for Abelian Varieties with Frobenius Condition
Florian Hess, Leonard Tomczak
be an abelian variety over a number field of dimension , and a finite Galois extension. We consider the density of primes of $…
math.NT2013
Tame Class Field Theory for Global Function Fields
Florian Hess, Maike Massierer
We give a function field specific, algebraic proof of the main results of class field theory for abelian extensions of degree coprime to the characteristic. By adapting some method…
math.NT2011
On the Invariants of Towers of Function Fields over Finite Fields
Florian Hess, Henning Stichtenoth, Seher Tutdere
We consider a tower of function fields F=(F_n)_{n\geq 0} over a finite field F_q and a finite extension E/F_0 such that the sequence \mathcal{E):=(EF_n)_{n\goq 0} is a tower over t…