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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Computing Mordell-Weil ranks of cyclic covers of elliptic surfaces


Author: Lisa A. Fastenberg
Journal: Proc. Amer. Math. Soc. 129 (2001), 1877-1883
MSC (1991): Primary 14J27, 11G05
Published electronically: February 22, 2001
MathSciNet review: 1825893
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Abstract: We give explicit formulas for computing the Mordell-Weil ranks of the elliptic surfaces $E_{r}: Y^{2}=X^{3}+a(t^{r})X+b(t^{r})$subject to some restrictions on the surface $E_{1}$.


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Additional Information

Lisa A. Fastenberg
Affiliation: Department of Mathematics, Yeshiva University, New York, New York 10033
Email: fastenb@ymail.yu.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-01-06152-4
PII: S 0002-9939(01)06152-4
Received by editor(s): April 8, 1999
Published electronically: February 22, 2001
Communicated by: David E. Rohrlich
Article copyright: © Copyright 2001 American Mathematical Society