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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Families of irreducible principally polarized
abelian varieties isomorphic to a product
of elliptic curves


Authors: Víctor González-Aguilera and Rub\'\i{} E. Rodríguez
Journal: Proc. Amer. Math. Soc. 128 (2000), 629-636
MSC (2000): Primary 14K22; Secondary 32G13
Published electronically: October 25, 1999
MathSciNet review: 1676344
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Abstract | References | Similar Articles | Additional Information

Abstract: For each $n$ greater than or equal to two, we give a family of
$n$-dimensional, irreducible principally polarized abelian varieties isomorphic to a product of elliptic curves. This family corresponds to the modular curve $X_0(n+1)$.


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Additional Information

Víctor González-Aguilera
Affiliation: Departamento de Matemáticas, Universidad Técnica Federico Santa María, Casilla 110-V, Valparaíso, Chile
Email: vgonzale@mat.utfsm.cl

Rub\'\i{} E. Rodríguez
Affiliation: Facultad de Matemáticas, Pontificia Universidad Católica de Chile, Casilla 306, Correo 22, Santiago, Chile
Email: rubi@mat.puc.cl

DOI: http://dx.doi.org/10.1090/S0002-9939-99-05415-5
PII: S 0002-9939(99)05415-5
Received by editor(s): May 11, 1997
Published electronically: October 25, 1999
Additional Notes: Both authors were supported in part by FONDECYT Grant # 8970007 and Presidential Chair 1997.
Communicated by: Ron Donagi
Article copyright: © Copyright 1999 American Mathematical Society