6533b821fe1ef96bd127c1d2

RESEARCH PRODUCT

Torsors for Difference Algebraic Groups

Michael WibmerAnnette Bachmayr

subject

Pure mathematicsGroup (mathematics)Applied MathematicsGeneral Mathematics12H10 20G10 14L15 39A05Mathematics - Rings and AlgebrasCommutative Algebra (math.AC)Mathematics - Commutative AlgebraCohomologyAction (physics)Set (abstract data type)Mathematics - Algebraic GeometryRings and Algebras (math.RA)Mathematics::K-Theory and HomologyFOS: MathematicsAlgebraic numberAlgebraic Geometry (math.AG)Mathematics

description

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 for large classes of groups. We also develop some tools for difference algebraic geometry and present an application to the Galois theory of differential equations depending on a discrete parameter.

yearjournalcountryeditionlanguage
2016-07-24
http://arxiv.org/abs/1607.07035