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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A cohomological criterion for splitting of vector bundles on multiprojective space
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by Chikashi Miyazaki PDF
Proc. Amer. Math. Soc. 143 (2015), 1435-1440 Request permission

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
  • 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