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On some Dualities Concerning Abelian Varieties

Published online by Cambridge University Press:  22 January 2016

Hideyuki Matsumura  and
Masayoshi Miyanishi
Hideyuki Matsumura
Affiliation:
Department of Mathematics, Kyoto University
Masayoshi Miyanishi
Affiliation:
Department of Mathematics, Kyoto University
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The group of extensions Ext(A, Ga) and Ext(A, Gm) of an abelian variety A by the additive or multiplicative group Ga, Gm have been investigated in detail ([9], [10], [GACC]). On the other hand, F. Oort [8] and M. Miyanishi [6] recently studied the groups Ext(Ga, A) and Ext(Gm, A). The purpose of the present paper is to clarify the relationship between these groups. Our results show that the latter groups can be derived from the former.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 27 , Issue 2 , July 1966 , pp. 447 - 462
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1966

References

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