3 papers
math.AG2026
Finite monodromy groups in degenerating families and the stability degree of curves
Séverin Philip
We compute the stability degree of curves of genus g and show that it is equal to the classical Minkowsky bound. We also compute the stability degree of semi-abelian varieties with…
math.NT2024
Groupes de monodromie finie des variétés abéliennes
Séverin Philip
The finite monodromy groups of abelian varieties over number fields have been introduced by Grothendieck. They represent the local obstruction to semi-stable reduction. In this pap…
math.NT2021
Variétés abéliennes CM et grosse monodromie finie sauvage
Séverin Philip
In this paper we study the wild part of the finite monodromy groups of abelian varieties over number fields. We solve Grunwald problems for groups of the form $\mathbf{Z}/p\mathbf{…