Weakly uniform rank two vector bundles on multiprojective spaces

Details Weakly uniform rank two vector bundles on multiprojective spaces Weakly uniform rank two vector bundles on multiprojective spaces

2010-11-12

arxiv.org/abs/1011.2965v1

Mathematics

Algebraic Geometry

6 pages no figures

Scientific paper

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 $a_{1,1}=...=a_{r,s}=0$ is trivial and every
rank $r>2$ uniform vector bundle with splitting type $a_1>...>a_r$, splits.

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