3 citations · 9 across the 6 of their papers we have counts for
8 papers
Representations of Affine Group Schemes Over General Rings
Giulia Battiston, Matthieu Romagny
Among all affine, flat, finitely presented group schemes, we focus on those that are pure, this includes all groups which are extensions of a finite locally free group by a group w…
The normal hull and commutator group for nonconnected group schemes
Giulia Battiston
In this short note, we prove that there is a well behaved notion of normal hull for smooth algebraic group schemes over a field and that the commutator group is well define…
Gieseker conjecture for homogeneous spaces
Giulia Battiston
We prove Gieseker conjecture for an homogeneous space , saying that if has no non-trivial tame coverings then it has no non-trivial regular singular -coherent…
The homotopy sequence for regular singular stratified bundles
Giulia Battiston, Lars Kindler
A separable, proper morphism of varieties with geometrically connected fibers induces a homotopy exact sequence relating the étale fundamental groups of source, target and fiber. E…
The base change of the monodromy group for geometric Tannakian pairs
Giulia Battiston
We prove that in any characteristic the formation of the monodromy group of a -module commutes with the extension of the ground field, extending a result of Gabber for…
The Casas-Alvero conjecture
Giulia Battiston
We present a proof of the Casas-Alvero conjecture, stating that if a complex polynomial has a root in common with each of its derivatives it must be a multiple of the power of some…
A theory of Galois descent for finite inseparable extensions
Giulia Battiston
We present a generalization of Galois descent to finite modular normal field extension , using the Heerma-Galois group where $L[\bar{X}]=L[X]/(X^{…
The variation of the monodromy group in families of stratified bundles in positive characteristic
Giulia Battiston
In this article we study smooth families of stratified bundles in positive characteristic and the variation of their monodromy group.Our aim is, in particular, to strengthen the we…