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On the discriminant of a hyperelliptic curve


Author: P. Lockhart
Journal: Trans. Amer. Math. Soc. 342 (1994), 729-752
MSC: Primary 11G30; Secondary 14H45
DOI: https://doi.org/10.1090/S0002-9947-1994-1195511-X
MathSciNet review: 1195511
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Abstract: The minimal discriminant of a hyperelliptic curve is defined and used to generalize much of the arithmetic theory of elliptic curves. Over number fields this leads to a higher genus version of Szpiro's Conjecture. Analytically, the discriminant is shown to be related to Siegel modular forms of higher degree.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1994-1195511-X
Keywords: Hyperelliptic, discriminant
Article copyright: © Copyright 1994 American Mathematical Society

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