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On the Field of Rationality for an Abelian Variety

Published online by Cambridge University Press:  22 January 2016

Goro Shimura
Goro Shimura*
Affiliation:
Princeton University
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The purpose of this paper is to prove the following two facts:

  • I Every generic polarized abelian variety of odd dimension has a model rational over its field of moduli.

  • II No generic principally polarized abelian variety of even dimension has a model rational over its field of moduli.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 45 , February 1972 , pp. 167 - 178
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1972

References

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