Another proof of Grothendieck's theorem on the splitting of vector bundles on the projective line
| Autor: | Schoemann, Claudia, Wiedmann, Stefan |
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| Rok vydání: | 2017 |
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| Druh dokumentu: | Working Paper |
| Popis: | This note contains another proof of Grothendieck`s theorem on the splitting of vector bundles on the projective line over a field $k$. Actually the proof is formulated entirely in the classical terms of a lattice $\Lambda \cong k[T]^d$, discretely embedded into the vector space $V \cong K_\infty^d$, where $K_\infty \cong k((1/T))$ is the completion of the field of rational functions $k(T)$ at the place $\infty$ with the usual valuation. |
| Databáze: | arXiv |
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