11 citations · 25 across the 3 of their papers we have counts for
3 papers
math.CA2014★ 11 cited
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…
math.QA2012★ 8 cited
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…
math.QA2012★ 6 cited
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…