Publications (11)
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…
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…
Reconstruction of schemes from their étale topoi
Magnus Carlson, Peter J. Haine, Sebastian Wolf
Let be a field that is finitely generated over its prime field. In Grothendieck's anabelian letter to Faltings, he conjectured that sending a -scheme to its étale topos def…
Classification of plethories in characteristic zero
Magnus Carlson
We classify plethories over fields of characteristic zero, thus answering a question of Borger-Wieland and Bergman-Hausknecht. All plethories over characteristic zero fields are li…
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…
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 applicatio…