2 papers
math.NT2026
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…
math.AG2025
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…