Splitting types of semistable vector bundles on P^2

  • Michał Farnik
  • Axel Stäbler
Keywords: Splitting types, Semistable vector bundles

Abstract

We show that for n ≤ 5 all generic splitting types of semistable vector bundles of rank n on P^2 on which are in principle possible by the theorem of Grauert-Mülich actually occur. We prove this by constructing examples for all possible splitting types.
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