A cohomological criterion for splitting of vector bundles on multiprojective space
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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.References
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Additional Information
- Chikashi Miyazaki
- Affiliation: Department of Mathematics, Saga University, Honjo-machi 1, Saga 840-8502, Japan
- Email: miyazaki@ms.saga-u.ac.jp
- Received by editor(s): December 20, 2012
- Received by editor(s) in revised form: August 16, 2013
- Published electronically: November 24, 2014
- Additional Notes: This work was partially supported by Grant-in-Aid for Scientific Research (C) (21540044) Japan Society for the Promotion of Science
- Communicated by: Lev Borisov
- © Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 143 (2015), 1435-1440
- MSC (2010): Primary 14F05, 14J60
- DOI: https://doi.org/10.1090/S0002-9939-2014-12347-1
- MathSciNet review: 3314058