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This article is cited in 3 scientific papers (total in 3 papers)
Parallelisms & Lie Connections
David Blázquez-Sanza, Guy Casaleb 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.
Received: September 16, 2016; in final form October 25, 2017; Published online November 4, 2017
Citation:
David Blázquez-Sanz, Guy Casale, “Parallelisms & Lie Connections”, SIGMA, 13 (2017), 086, 28 pp.
Linking options:
https://www.mathnet.ru/eng/sigma1286 https://www.mathnet.ru/eng/sigma/v13/p86
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Abstract page: | 337 | Full-text PDF : | 36 | References: | 18 |
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