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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality 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 1.43.

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Seshadri constants on Jacobian of curves
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by Jian Kong PDF
Trans. Amer. Math. Soc. 355 (2003), 3175-3180 Request permission

Abstract:

We compute the Seshadri constants on the Jacobian of hyperelliptic curves, as well as of curves with genus three and four. For higher genus curves we conclude that if the Seshadri constants of their Jacobian are less than 2, then the curves must be hyperelliptic.
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Additional Information
  • Jian Kong
  • Affiliation: Department of Mathematics, Johns Hopkins University, Baltimore, Maryland 21218
  • Email: jkong@math.jhu.edu
  • Received by editor(s): August 1, 2002
  • Received by editor(s) in revised form: August 26, 2002
  • Published electronically: April 17, 2003
  • © Copyright 2003 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 355 (2003), 3175-3180
  • MSC (2000): Primary 14H40; Secondary 14K12
  • DOI: https://doi.org/10.1090/S0002-9947-03-03305-1
  • MathSciNet review: 1974680