Seshadri constants on Jacobian of curves

Kong, Jian

doi:10.1090/S0002-9947-03-03305-1

Seshadri constants on Jacobian of curves
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by Jian Kong

Trans. Amer. Math. Soc. 355 (2003), 3175-3180

DOI: https://doi.org/10.1090/S0002-9947-03-03305-1

Published electronically: 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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