4 papers
The constructive inverse Galois problem via Hilbert modular forms: realizing the transitive group 17T7
Raymond van Bommel, Edgar Costa, Noam D. Elkies +3
We show how Hilbert modular forms can be used in the constructive inverse Galois problem over the rationals. In particular, we prove that the transitive permutation group 17T7, iso…
Comparison of different Tate conjectures
Veronika Ertl, Timo Keller, Yanshuai Qin
For an abelian variety over a finitely generated field of characteristic , we prove that the algebraic rank of is at most a suitably defined analytic rank. Moreo…
-converse theorems for elliptic curves of potentially good ordinary reduction at Eisenstein primes
Timo Keller, Mulun Yin
Let be an elliptic curve and be a prime. We prove the -converse theorems for elliptic curves of potentially good ordinary reduction at Eisenstein primes…
On the anticyclotomic Iwasawa theory of newforms at Eisenstein primes of semistable reduction
Timo Keller, Mulun Yin
Let be a newform of weight and level with trivial nebentypus. Let be a maximal ideal of the ring of integers of the coefficient field of s…