Weakly uniform rank two vector bundles on multiprojective spaces

Authors

  • Edoardo Ballico
  • FRANCESCO MALASPINA

Keywords:

uniform vector bundles, splitting type, multiprojective spaces

Abstract

Here we classify the weakly uniform rank two vector bundles on multiprojective spaces.\\ Moreover we show that every rank $r>2$ weakly uniform vector bundle with splitting type $a_{1,1}=\dots =a_{r,s}=0$ is trivial and every rank $r>2$ uniform vector bundle with splitting type $a_1>\dots >a_r$, splits.

Published

2011-10-19

Issue

Vol. 84 No. 2 (2011)

Section

Articles
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