David Blázquez-Sanz, Guy Casale, “Parallelisms & Lie Connections”, SIGMA, 2017, Volume 13,086, 28 pp.

This article is cited in 3 papers

Parallelisms & Lie Connections

David Blázquez-Sanz^a, Guy Casale^b

^a Universidad Nacional de Colombia, Sede Medellín, Facultad de Ciencias, Escuela de Matemáticas, Calle 59A No. 63 - 20, Medellín, Antioquia, Colombia
^b IRMAR, Université de Rennes 1, Campus de Beaulieu, bât. 22-23, 263 avenue du Général Leclerc, CS 74205, 35042 RENNES Cedex, France

Abstract: The aim of this article is to study rational parallelisms of algebraic varieties by means of the transcendence of their symmetries. The nature of this transcendence is measured by a Galois group built from the Picard–Vessiot theory of principal connections.

Keywords: parallelism; isogeny; $G$-structure; linear connection; principal connection; differential Galois theory.

MSC: 53C05; 14L40; 14E05; 12H05

Received: September 16, 2016; in final form October 25, 2017; Published online November 4, 2017

Language: English

DOI: 10.3842/SIGMA.2017.086