A cohomological criterion for splitting of vector bundles on multiprojective space

Authors :: Chikashi Miyazaki
Source :: Proceedings of the American Mathematical Society. 143(4):1435-1440
Publication Year :: 2015
Publisher :: American Mathematical Society, 2015.
Abstract: This paper is devoted to the study of a cohomological criterion for the splitting of a vector bundle on multiprojective space. The criterion extends a result of Ballico-Malaspina towards a generalization of the Horrocks criterion on multiprojective space.

Subjects :: Mathematics::Algebraic Geometry
Mathematics::Commutative Algebra
Applied Mathematics
General Mathematics
Mathematical analysis
Vector bundle
Space (mathematics)
Mathematics

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