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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Projective normality of the moduli space of rank $2$ vector bundles on a generic curve
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by Takeshi Abe PDF
Trans. Amer. Math. Soc. 362 (2010), 477-490 Request permission

Abstract:

We prove that the embedding to the projective space by the generalized theta divisors of the moduli space of rank $2$ vector bundles on a generic curve is projective normal.
References
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Additional Information
  • Takeshi Abe
  • Affiliation: Research Institute for Mathematical Sciences, Kyoto University, Kitashirakawa, Sakyo-ku, Kyoto, 606-8502, Japan
  • Address at time of publication: Graduate School of Science and Technology, Kumamoto University, 2-39-1 Kurokami, Kumamoto 860-8555, Japan
  • Email: abeken@kurims.kyoto-u.ac.jp, abeken@sci.kumamoto-u.ac.jp
  • Received by editor(s): November 2, 2007
  • Received by editor(s) in revised form: May 2, 2008
  • Published electronically: August 12, 2009
  • Additional Notes: The author was partially supported by the Japanese Ministry of Education and Science, Grant-in-Aid for Young Scientists (B)
  • © Copyright 2009 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 362 (2010), 477-490
  • MSC (2000): Primary 14H60, 14D20
  • DOI: https://doi.org/10.1090/S0002-9947-09-04816-8
  • MathSciNet review: 2550160