Frei, C. and Sofos, E. (2016) Counting rational points on smooth cubic surfaces. Mathematical Research Letters, 23(1), pp. 127-143. (doi: 10.4310/mrl.2016.v23.n1.a7)
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Abstract
We prove that any smooth cubic surface defined over any number field satisfies the lower bound predicted by Manin’s conjecture possibly after an extension of small degree.
| Item Type: | Articles |
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| Additional Information: | While working on this paper the first author was supported by a Humboldt Research Fellowship for Postdoctoral Researchers and the second author was supported by the EPSRC grant EP/H005188/1. |
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Sofos, Dr Efthymios |
| Authors: | Frei, C., and Sofos, E. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Mathematical Research Letters |
| Publisher: | International Press |
| ISSN: | 1073-2780 |
| ISSN (Online): | 1945-001X |
| Published Online: | 25 May 2016 |
| Copyright Holders: | Copyright © 2016 International Press |
| First Published: | First published in Mathematical Research Letters 23(1): 127-143 |
| Publisher Policy: | Reproduced in accordance with the publisher copyright policy |
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