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A cohomological criterion for splitting of vector bundles on multiprojective space


Author: Chikashi Miyazaki
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
Published electronically: November 24, 2014
MathSciNet review: 3314058
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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.


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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

DOI: https://doi.org/10.1090/S0002-9939-2014-12347-1
Keywords: Cohomological criterion, Castelnuovo-Mumford regularity
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
Article copyright: © Copyright 2014 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.