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WEIL NUMBERS GENERATED BY OTHER WEIL NUMBERS AND TORSION FIELDS OF ABELIAN VARIETIES

Published online by Cambridge University Press:  25 October 2006

E. KOWALSKI
E. KOWALSKI
Affiliation:
Université Bordeaux I, A2X, 351 cours de la Libération, 33405 Talence cedex, [email protected]
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Abstract

Using properties of the Frobenius eigenvalues, we show that, in a precise sense, ‘most’ isomorphism classes of (principally polarized) simple abelian varieties over a finite field are characterized, up to isogeny, by the sequence of their division fields, and we show a similar result for ‘most’ isogeny classes. Some global cases are also treated.

Keywords

11G1011G2011G25 (primary)11N36 (secondary)
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 74 , Issue 2 , October 2006 , pp. 273 - 288
Copyright
The London Mathematical Society 2006

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