An elementary proof that vector bundles on $\mathbb P^1$ split
Algebraic Geometry
2011-11-08 v2
Abstract
This paper gives a new elementary proof of the theorem that all vector bundles on 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.
Cite
@article{arxiv.1111.0702,
title = {An elementary proof that vector bundles on $\mathbb P^1$ split},
author = {William F. Sawin},
journal= {arXiv preprint arXiv:1111.0702},
year = {2011}
}
Comments
4 pages