5 citations · 8 across the 9 of their papers we have counts for
7 papers · 1 filter
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…
Path Integrals and p-adic L-functions
Magnus Carlson, Hee-Joong Chung, Dohyeong Kim +3
We prove an arithmetic path integral formula for the inverse p-adic absolute values of the Kubota-Leopoldt p-adic L-functions at roots of unity.
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…
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…
A note on abelian arithmetic BF-theory
Magnus Carlson, Minhyong Kim
We compute some arithmetic path integrals for BF-theory over the ring of integers of a totally imaginary field, which evaluate to natural arithmetic invariants associated to $\math…
The étale cohomology ring of the ring of integers of a number field
Eric Ahlqvist, Magnus Carlson
We compute the étale cohomology ring where is the ring of integers of a number field As an application…
The unramified inverse Galois problem and cohomology rings of totally imaginary number fields
Magnus Carlson, Tomer M. Schlank
We employ methods from homotopy theory to define new obstructions to solutions of embedding problems. By using these novel obstructions we study embedding problems with non-solvabl…