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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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The size function of abelian varieties
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by Allen Altman PDF
Trans. Amer. Math. Soc. 164 (1972), 153-161 Request permission

Abstract:

The size function is defined for points in projective space over any field K, finitely generated field over Q, generalizing the height function for number fields. We prove that the size function on the K-rational points of an abelian variety is bounded by a quadratic function.
References
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Additional Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 164 (1972), 153-161
  • MSC: Primary 14K10
  • DOI: https://doi.org/10.1090/S0002-9947-1972-0292843-X
  • MathSciNet review: 0292843