11 citations · 33 across the 4 of their papers we have counts for
10 papers
Approche galoisienne de la transcendance différentielle
Lucia Di Vizio
In this survey we present the parameterized Galois theory of difference equations, as introduced by Hardouin-Singer. The purpose of this theory is to give a systematic approach to…
Difference algebraic relations among solutions of linear differential equations
Lucia Di Vizio, Charlotte Hardouin, Michael Wibmer
We extend and apply the Galois theory of linear differential equations equipped with the action of an endomorphism. The Galois groups in this Galois theory are difference algebraic…
Difference Galois theory of linear differential equations
Lucia Di Vizio, Charlotte Hardouin, Michael Wibmer
We develop a Galois theory for linear differential equations equipped with the action of an endomorphism. This theory is aimed at studying the difference algebraic relations among…
Parameterized generic Galois groups for q-difference equations, followed by the appendix "The Galois D-groupoid of a q-difference system" by Anne Granier
Lucia Di Vizio, Charlotte Hardouin
We introduce the parameterized generic Galois group of a q-difference module, that is a differential group in the sense of Kolchin. It is associated to the smallest differential ta…
On the Grothendieck conjecture on p-curvatures for q-difference equations
Lucia Di Vizio, Charlotte Hardouin
In the present paper, we give a q-analogue of the Grothendieck conjecture on p-curvatures for q-difference equations defined over the field of rational function K(x), where K is a…
Galois theories for -difference equations: comparison theorems
Lucia Di Vizio, Charlotte Hardouin
We establish some comparison results among the different parameterized Galois theories for -difference equations, completing the work by CHatzidakis, Hardouin and Singer, that a…