3 papers
math.AG2026
Anabelian geometry for Deligne-Mumford curves
Benjamin Collas, Séverin Philip, Naganori Yamaguchi
We develop an anabelian framework for general Deligne-Mumford curves, showing that their stack and orbifold structures are encoded in the group-theoretic properties of their étale…
math.NT2025
The local obstruction to semi-stable reduction for abelian varieties
Séverin Philip
Grothendieck defined a group that represents the local obstruction for an abelian variety to have semi-stable reduction. These groups were studied by Silverberg and Zarhin and more…
math.NT2025
The -inertial groups as finite monodromy groups
Séverin Philip
Silverberg and Zarhin introduced the notion of a -inertial group in the hope of having a group theoretic characterization of the finite groups that appear as finite monodr…