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On the Defining Equations of Abelian Varieties

Published online by Cambridge University Press:  22 January 2016

Hisasi Morikawa
Hisasi Morikawa*
Affiliation:
Institute of Mathematics Nagoya University
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This article is a continuation and completion of our study in the previous one [1] in which we gave the defining equations of abelian varieties projectively embedded by theta functions of level three. These defining equations are nothing else the canonical generators of theta relations for theta functions with ⅓—characteristics. In the present article the canonical generators of 3 theta relations will be given for the wider class of theta functions with rational characteristics.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 30 , August 1967 , pp. 143 - 162
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1966

References

[1] Morikawa, H.: On the Explicite Defining Relations of Abelian Schemes of Level Three p. 143-157 Nagoya Math. Jour. Vol. 27-1 (1966).Google Scholar