14 citations · 61 across the 22 of their papers we have counts for
10 papers · 1 filter
Free differential Galois groups
Annette Bachmayr, David Harbater, Julia Hartmann +1
We study the structure of the absolute differential Galois group of a rational function field over an algebraically closed field of characteristic zero. In particular, we relate th…
Tannakian categories with semigroup actions
Alexey Ovchinnikov, Michael Wibmer
Ostrowski's theorem implies that are algebraically independent over . More generally, for a linear differential or difference equation, it…
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…
σ-Galois theory of linear difference equations
Alexey Ovchinnikov, Michael Wibmer
We develop a Galois theory for systems of linear difference equations with an action of an endomorphism σ. This provides a technique to test whether solutions of such systems satis…
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…
An intrinsic characterization of Picard-Vessiot extensions
Michael Wibmer
We present a characterization of differential Picard-Vessiot extensions which is analogous to the field theoretic characterization of Galois extensions in classical Galois theory.