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arxiv: 1011.2965 · v1 · pith:ZDAP76DLnew · submitted 2010-11-12 · 🧮 math.AG

Weakly uniform rank two vector bundles on multiprojective spaces

classification 🧮 math.AG
keywords rankuniformvectorweaklybundlebundleseverymultiprojective
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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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