3 papers
math.AG2023
On Oda's problem and special loci
Benjamin Collas, Séverin Philip
Oda's problem, which deals with the fixed field of the universal monodromy representation of moduli spaces of curves and its independence with respect to the topological data, is a…
math.NT2021
On the degree of semi-stable reduction
Séverin Philip
For an abelian variety over a number field we study bounds depending only on the dimension of for the minimal degree of a field extension over which acquires sem…
math.NT2020
Fields of definition of abelian subvarieties
Séverin Philip
In this paper we study the field of definition of abelian subvarieties for an abelian variety over a field of characteristic . We show that,…