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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 note on tensor products of ample line bundles on abelian varieties
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by Yoshiaki Fukuma PDF
Proc. Amer. Math. Soc. 128 (2000), 2513-2516 Request permission

Abstract:

Let $(X,L)$ be a polarized abelian variety defined over the complex number field. Then we classify $(X,L)$ with $h^{0}(L)\geq 2$ such that $(k+1)L$ is not $k$-jet ample nor $k$-very ample.
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Additional Information
  • Yoshiaki Fukuma
  • Affiliation: Department of Mathematics, Faculty of Science, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, Tokyo 152-8551, Japan
  • Address at time of publication: Department of Mathematics, Naruto University of Education, Takashima, Naruto-cho, Naruto-shi 772-8502, Japan
  • Email: fukuma@math.titech.ac.jp, fukuma@naruto-u.ac.jp
  • Received by editor(s): July 29, 1997
  • Published electronically: April 27, 2000
  • Additional Notes: The author is a Research Fellow of the Japan Society for the Promotion of Science.
  • Communicated by: Ron Donagi
  • © Copyright 2000 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 128 (2000), 2513-2516
  • MSC (1991): Primary 14C20
  • DOI: https://doi.org/10.1090/S0002-9939-00-05879-2
  • MathSciNet review: 1766603