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Simple Factors in the Jacobian of a Fermat Curve

Published online by Cambridge University Press:  20 November 2018

Neal Koblitz  and
David Rohrlich
Neal Koblitz
Affiliation:
Harvard University, Cambridge, Massachusetts
David Rohrlich
Affiliation:
Harvard University, Cambridge, Massachusetts
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Let

denote the Nth Fermat curve. The period lattice of F(N) is contained with finite index in the product of certain lattices Lr,s (see [6]), and to this inclusion of lattices there corresponds an isogeny of the Jacobian of F(N) onto a product of abelian varieties. The purpose of this paper is to determine when two factors in this product are isogenous over C, and whether they are absolutely simple.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 30 , Issue 6 , 01 December 1978 , pp. 1183 - 1205
Copyright
Copyright © Canadian Mathematical Society 1978

References

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