A direct proof that toric rank 2 bundles on projective space split

• David Stapleton ^[1]
  1. [1] University of California San Diego (Estados Unidos)
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 126, Nº 3, 2020, págs. 493-496
• Idioma: inglés
• DOI: 10.7146/math.scand.a-121452
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• Resumen

  • The point of this paper is to give a short, direct proof that rank 2 toric vector bundles on n-dimensional projective space split once n is at least 3. This result is originally due to Bertin and Elencwajg, and there is also related work by Kaneyama, Klyachko, and Ilten-Süss. The idea is that, after possibly twisting the vector bundle, there is a section which is a complete intersection.