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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

The size function of abelian varieties


Author: Allen Altman
Journal: Trans. Amer. Math. Soc. 164 (1972), 153-161
MSC: Primary 14K10
MathSciNet review: 0292843
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Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1972-0292843-X
PII: S 0002-9947(1972)0292843-X
Keywords: Finitely generated field extension, size function, quadratic function, projective space, scheme, group variety, abelian variety, transcendence type
Article copyright: © Copyright 1972 American Mathematical Society



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