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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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On tensor products of $k$-very ample line bundles
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by Yukitoshi Hinohara, Kazuyoshi Takahashi and Hiroyuki Terakawa PDF
Proc. Amer. Math. Soc. 133 (2005), 687-692 Request permission

Abstract:

In this paper, we show that the tensor product of $a$-very ample and $b$-very ample line bundles on a complete algebraic variety is $(a+b)$-very ample.
References
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Additional Information
  • Yukitoshi Hinohara
  • Affiliation: Department of Mathematics, School of Education, Waseda University, 1-6-1 Nishi-Waseda Shinjuku-ku, Tokyo 169-8050, Japan
  • Address at time of publication: 389-3, Higashi-Koiso, Oiso-Mati, Naka-Gun Kanagawa, 255-0004, Japan
  • Email: hinohara@waseda.jp
  • Kazuyoshi Takahashi
  • Affiliation: Department of Mathematics, School of Education, Waseda University, 1-6-1 Nishi-Waseda Shinjuku-ku, Tokyo 169-8050, Japan
  • Address at time of publication: School of Social Sciences, Waseda University, 1-6-1 Nishi-Waseda Shinjuku-ku, Tokyo 169-8050, Japan
  • Email: ktaka@asagi.waseda.jp
  • Hiroyuki Terakawa
  • Affiliation: Tsuru University, 3-8-1 Tahara Tsuru-shi, Yamanashi 402-8555, Japan
  • Email: terakawa@tsuru.ac.jp
  • Received by editor(s): December 21, 2000
  • Received by editor(s) in revised form: November 9, 2003
  • Published electronically: September 20, 2004
  • Communicated by: Michael Stillman
  • © Copyright 2004 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 133 (2005), 687-692
  • MSC (2000): Primary 14E25, 14C20; Secondary 13E10
  • DOI: https://doi.org/10.1090/S0002-9939-04-07648-8
  • MathSciNet review: 2113916