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Weakly uniform rank two vector bundles on multiprojective spaces. (English) Zbl 1229.14016
The authors classify weakly uniform rank two vector bundles on multiprojective spaces and give a criterion for rank 2 vector bundle \(E\) to be weakly uniform and also the condition for vector bundle \(E\) to split. They also 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.
14F05 Sheaves, derived categories of sheaves, etc. (MSC2010)
14J60 Vector bundles on surfaces and higher-dimensional varieties, and their moduli
Full Text: DOI arXiv
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