Munshi, Ritabrata (2010) Density of positive rank fibers in elliptic fibrations, II International Journal of Number Theory, 06 (01). pp. 15-23. ISSN 1793-0421
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Official URL: http://www.worldscientific.com/doi/abs/10.1142/S17...
Related URL: http://dx.doi.org/10.1142/S1793042110002867
Abstract
We show that for a quartic elliptic fibration over a real number field, existence of two positive rank fibers implies existence of a dense set of positive rank fibers. We also prove the same result for certain sextic families.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to World Scientific Publishing Co Pte Ltd. |
| Keywords: | Elliptic Fibrations; One-Parameter Family; Rational Points; Mordell–weil Rank |
| ID Code: | 110837 |
| Deposited On: | 31 Jan 2018 09:08 |
| Last Modified: | 31 Jan 2018 09:08 |
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