A Babylonian tower theorem for principal bundles over projective spaces

Details A Babylonian tower theorem for principal bundles over projective spaces A Babylonian tower theorem for principal bundles over projective spaces

2007-10-22

arxiv.org/abs/0710.4064v1

Journ. Math. Kyoto Univ. 49 (2009), 69-82

Mathematics

Algebraic Geometry

13 pages

Scientific paper

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.

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