3 papers
math.AG2025
Trivializing Torsors for Difference Algebraic Groups
Annette Bachmayr, Michael Wibmer
We study torsors for groups defined by algebraic difference equations. Our main result provides necessary and sufficient conditions on the base difference field for all such torsor…
math.AG2019
Algebraic groups as difference Galois groups of linear differential equations
Annette Bachmayr, Michael Wibmer
We study the inverse problem in the difference Galois theory of linear differential equations over the difference-differential field with derivation …
math.AC2016
New classes of parameterized differential Galois groups
Annette Bachmayr
This paper is on the inverse parameterized differential Galois problem. We show that surprisingly many groups do not occur as parameterized differential Galois groups over K(x) eve…