An elementary proof that vector bundles on $\mathbb P^1$ split

Details An elementary proof that vector bundles on $\mathbb P^1$ split An elementary proof that vector bundles on $\mathbb P^1$ split

2011-11-03

arxiv.org/abs/1111.0702v2

Mathematics

Algebraic Geometry

4 pages

Scientific paper

This paper gives a new elementary proof of the theorem that all vector
bundles on $\mathbb P^1$ split into the direct sum of line bundles. The proof
is based on the study of divisors associated to germs of sections at the
generic point.

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