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Another proof of Grothendieck’s theorem on the splitting of vector bundles on the projective line

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Claudia Schoemann
  • Stefan Wiedmann

External Research Organisations

  • University of Göttingen

Details

Original languageEnglish
Pages (from-to)573-580
Number of pages8
JournalArchiv der Mathematik
Volume110
Issue number6
Publication statusPublished - 1 Jun 2018
Externally publishedYes

Abstract

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 Λ ≅ k[ T] d, discretely embedded into the vector space V≅K∞d, where K∞≅ k((1 / T)) is the completion of the field of rational functions k(T) at the place ∞ with the usual valuation.

Cite this

Another proof of Grothendieck’s theorem on the splitting of vector bundles on the projective line. / Schoemann, Claudia; Wiedmann, Stefan.
In: Archiv der Mathematik, Vol. 110, No. 6, 01.06.2018, p. 573-580.

Research output: Contribution to journal › Article › Research › peer review

Schoemann C, Wiedmann S. Another proof of Grothendieck’s theorem on the splitting of vector bundles on the projective line. Archiv der Mathematik. 2018 Jun 1;110(6):573-580. doi: 10.1007/s00013-018-1158-0
Schoemann, Claudia ; Wiedmann, Stefan. / Another proof of Grothendieck’s theorem on the splitting of vector bundles on the projective line. In: Archiv der Mathematik. 2018 ; Vol. 110, No. 6. pp. 573-580.
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