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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.
##### MSC:
 14F05 Sheaves, derived categories of sheaves, etc. (MSC2010) 14J60 Vector bundles on surfaces and higher-dimensional varieties, and their moduli
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##### References:
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