3 papers
math.NT2026
Elementary anabelian varieties are anabelian
Magnus Carlson
We show that isomorphisms of fundamental groups of elementary anabelian varieties -- varieties obtained as iterated fibrations of hyperbolic curves -- over sub--adic fields corr…
math.NT2025
The étale cohomology ring of a punctured arithmetic curve
Eric Ahlqvist, Magnus Carlson
We compute the cohomology ring for where is the spectrum of the ring of integers of a number field and is a finite set…
math.NT2025
Massey products in the étale cohomology of number fields
Eric Ahlqvist, Magnus Carlson
We give formulas for 3-fold Massey products in the étale cohomology of the ring of integers of a number field and use these to find the first known examples of imaginary quadratic…