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Symmetry, Integrability and Geometry: Methods and Applications, 2017, Volume 13, 086, 28 pp.
DOI: https://doi.org/10.3842/SIGMA.2017.086 (Mi sigma1286) 		 
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
Full-text PDF (481 kB) Citations (3)
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DOI: https://doi.org/10.3842/SIGMA.2017.086
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.
Funding agency Grant number
Agence Nationale de la Recherche ANR-13-JS01-0002-01
ANR-11-LABX-0020-01
Universidad Nacional de Colombia 37243
Université Paris 13 (ECOS-Nord program) C12M01
Université de Rennes 1
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.
Received: September 16, 2016; in final form October 25, 2017; Published online November 4, 2017
Bibliographic databases:
Document Type: Article
MSC: 53C05; 14L40; 14E05; 12H05
Language: English
Citation: David Blázquez-Sanz, Guy Casale, “Parallelisms & Lie Connections”, SIGMA, 13 (2017), 086, 28 pp.
Citation in format AMSBIB
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\by David~Bl\'azquez-Sanz, Guy~Casale
\paper Parallelisms \& Lie Connections
\jour SIGMA
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\vol 13
\papernumber 086
\totalpages 28
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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