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On the Explicite Defining Relations of Abelian Schemes of Level Three

Published online by Cambridge University Press:  22 January 2016

Hisasi Morikawa
Hisasi Morikawa*
Affiliation:
Mathematical Institute, Nagoya University
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It is known classically that abelian varieties of dimension one over the field of complex numbers may be expressed by non-singular Hesse’s canonical cubic plane curves, The purpose of the present paper is to generalize this idea to higher dimensional case.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 27 , Issue 1 , February 1966 , pp. 143 - 157
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1966

References

[1] Morikawa, H., On theta functions and abelian varieties over valuation fields of rank one, I. Nagoya Math. Jour. Vol. 20 (1962).Google Scholar
[2] Morikawa, H., On theta functions and abelian varieties over valuation fields of rank one II. Nagoya Math. Jour. Vol. 21 (1962).Google Scholar