Transactions of the American Mathematical Society

Author(s): Jian Kong
Journal: Trans. Amer. Math. Soc. 355 (2003), 3175-3180.
MSC (2000): Primary 14H40; Secondary 14K12
Posted: April 17, 2003
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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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