Torsors for difference algebraic groups

Annette  Bachmayr; Michael Wibmer

doi:10.1142/S0219199721500681

Torsors for difference algebraic groups

Annette Bachmayr^*, Michael Wibmer

^*Korrespondierende/r Autor/-in für diese Arbeit

Institut für Analysis und Zahlentheorie (5010)

Publikation: Beitrag in einer Fachzeitschrift › Artikel › Begutachtung

Abstract

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 present an application to the Galois theory of differential equations depending on a discrete parameter.

Originalsprache	englisch
Aufsatznummer	2150068
Fachzeitschrift	Communications in Contemporary Mathematics
Frühes Online-Datum	2021
DOIs	https://doi.org/10.1142/S0219199721500681
Publikationsstatus	Elektronische Veröffentlichung vor Drucklegung. - 2021

ASJC Scopus subject areas

Angewandte Mathematik
Allgemeine Mathematik

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10.1142/S0219199721500681

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keywords = "Cohomology, Descent for difference varieties, Difference algebraic groups, Torsors",

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KW - Cohomology

KW - Descent for difference varieties

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KW - Torsors

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JO - Communications in Contemporary Mathematics

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Torsors for difference algebraic groups

Abstract

ASJC Scopus subject areas

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