6 citations · 10 across the 6 of their papers we have counts for
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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…
The differential Galois group of the rational function field
Annette Bachmayr, David Harbater, Julia Hartmann +1
We determine the absolute differential Galois group of the field of rational functions: It is the free proalgebraic group on a set of cardinality . Th…
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 …
Torsors for Difference Algebraic Groups
Annette Bachmayr, Michael Wibmer
We introduce a cohomology set for groups defined by algebraic difference equations and show that it classifies torsors under the group action. This allows us to compute all torsors…