On the discriminant of a hyperelliptic curve
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- by P. Lockhart PDF
- Trans. Amer. Math. Soc. 342 (1994), 729-752 Request permission
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.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- 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