Parallelisms & Lie Connections

[摘要] 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.

[关键词] parallelism;isogeny;G-structure;linear connection;principal connection;dif ferential Galois theory