A Babylonian tower theorem for principal bundles over projective spaces

• Autores: Indranil Biswas , Iustin Coanda, Guenther Trautmann
• Localización: Journal of mathematics of Kyoto University, ISSN 0023-608X, Vol. 49, Nº 1, 2009, págs. 69-82
• Idioma: inglés
• DOI: 10.1215/kjm/1248983030
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• Resumen

  • We generalise the variant of the Babylonian tower theorem for vector bundles on projective spaces proved by I. Coanda and G. Trautmann (2006) to the case of principal $G$-bundles over projective spaces, where $G$ is a linear algebraic group defined over an algebraically closed field. In course of the proofs some new insight into the structure of such principal $G$-bundles is obtained.