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Principal polarizations of abelian surfaces over finite fields

Published online by Cambridge University Press:  22 January 2016

Stuart Turner
Stuart Turner*
Affiliation:
Pontificia Universidade Católica, do Rio de Janeiro
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In § 1 of this note we construct abelian varieties of dimension two defined over Fpn, n odd, which admit infinitely many distinct principal polarizations. These polarizations determine an infinite family of geometrically non-isomorphic complete singular curves defined and irreducible over Fpn which have isomorphic Jacobian varieties. In § 2 we calculate the zeta function of these curves.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 77 , February 1980 , pp. 1 - 4
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1980

References

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