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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Families of irreducible principally polarized abelian varieties isomorphic to a product of elliptic curves
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by Víctor González-Aguilera and Rubí E. Rodríguez PDF
Proc. Amer. Math. Soc. 128 (2000), 629-636 Request permission

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
  • Rubí E. Rodríguez
  • Affiliation: Facultad de Matemáticas, Pontificia Universidad Católica de Chile, Casilla 306, Correo 22, Santiago, Chile
  • Email: rubi@mat.puc.cl
  • 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
  • © Copyright 1999 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 128 (2000), 629-636
  • MSC (2000): Primary 14K22; Secondary 32G13
  • DOI: https://doi.org/10.1090/S0002-9939-99-05415-5
  • MathSciNet review: 1676344