Computing Mordell-Weil ranks of cyclic covers of elliptic surfaces
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- by Lisa A. Fastenberg PDF
- Proc. Amer. Math. Soc. 129 (2001), 1877-1883 Request permission
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 $E_{1}$.References
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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
- Received by editor(s): April 8, 1999
- Published electronically: February 22, 2001
- Communicated by: David E. Rohrlich
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 1877-1883
- MSC (1991): Primary 14J27, 11G05
- DOI: https://doi.org/10.1090/S0002-9939-01-06152-4
- MathSciNet review: 1825893