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

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autorschaft

  • Claudia Schoemann
  • Stefan Wiedmann

Externe Organisationen

  • Georg-August-Universität Göttingen

Details

OriginalspracheEnglisch
Seiten (von - bis)573-580
Seitenumfang8
FachzeitschriftArchiv der Mathematik
Jahrgang110
Ausgabenummer6
PublikationsstatusVeröffentlicht - 1 Juni 2018
Extern publiziertJa

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.

Zitieren

Another proof of Grothendieck’s theorem on the splitting of vector bundles on the projective line. / Schoemann, Claudia; Wiedmann, Stefan.
in: Archiv der Mathematik, Jahrgang 110, Nr. 6, 01.06.2018, S. 573-580.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › 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 ; Jahrgang 110, Nr. 6. S. 573-580.
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