6 citations · 14 across the 6 of their papers we have counts for
14 papers
Diophantine stability and second order terms
Carlo Pagano, Efthymios Sofos
We establish a Galois-theoretic trichotomy governing Diophantine stability for genus curves. We use it to prove that the curve associated to the Hilbert symbol is Diophantine s…
On Stevenhagen's conjecture
Peter Koymans, Carlo Pagano
We generalize a classical reciprocity law due to Rédei using our recently developed description of the -torsion of class groups of multiquadratic fields. This result is then use…
The size of arboreal images, I: exponential lower bounds for PCF and unicritical polynomials
Carlo Pagano
Let be a polynomial over a global field . For each in and in denote by the arboreal field and by its d…
On Malle's conjecture for nilpotent groups, I
Peter Koymans, Carlo Pagano
We develop an abstract framework for studying the strong form of Malle's conjecture for nilpotent groups in their regular representation. This framework is then used to prove t…
A sharp upper bound for the -torsion of class groups of multiquadratic fields
Peter Koymans, Carlo Pagano
Let be a multiquadratic extension of and let be its narrow class group. Recently, the authors \cite{KP} gave a bound for …
Effective convergence of coranks of random Rédei matrices
Peter Koymans, Carlo Pagano
We give effective estimates for the -distance between the corank distribution of Rédei matrices and the measure predicted by the Cohen--Lenstra heuristics. To thi…