Посилання:Parallelisms & Lie Connections / D. Blázquez-Sanz, G. Casale // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 14 назв. — англ.
Підтримка:The authors thank the ECOS-Nord program C12M01 and the project “IsoGalois” ANR-13-
JS01-0002-01. They also thank the “Universidad Nacional de Colombia”(project HERMES
code 37243) and the “Universit´e de Rennes 1” (Actions Internationales 2016) for supporting this
reseach, and also the Centre Henri Lebesgue ANR-11-LABX-0020-01 for creating an attractive
mathematical environment.
The authors thank Juan Diego V´elez for his help with the final redaction of the manuscript
and the anonymous referees who gave relevant contributions to improve the paper.
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.