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arXiv · 1111.0702

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

William F. Sawin
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Abstract

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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William F. Sawin. 2011-11-03. An elementary proof that vector bundles on $\mathbb P^1$ split. https://arxiv.org/abs/1111.0702

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