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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles 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 1.48.

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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.
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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