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arXiv · 1011.2965

Weakly uniform rank two vector bundles on multiprojective spaces

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

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Edoardo Ballico, Francesco Malaspina. 2010-11-12. Weakly uniform rank two vector bundles on multiprojective spaces. https://arxiv.org/abs/1011.2965

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