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We give a historical presentation of the Grothendieck theorem on the splitting of vector bundles over the Riemann sphere and explore some of its links with the Riemann-Hilbert-Birkhoff problems and the Birkhoff factorization theorem.

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The Birkhoff-Grothendieck Theorem

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  • 发表日期：

    2025年

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  • Oumar Wone

摘要

We give a historical presentation of the Grothendieck theorem on the splitting of vector bundles over the Riemann sphere and explore some of its links with the Riemann-Hilbert-Birkhoff problems and the Birkhoff factorization theorem.