Finite number of fibre products of Kummer covers and curves with many points over finite fields |
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Authors: | Ferruh Özbudak Burcu Gülmez Temür |
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Affiliation: | 1. Department of Mathematics and Institute of Applied Mathematics, Middle East Technical University, Dumlup?nar Bulvar?, No: 1, 06800, Ankara, Turkey 2. Department of Mathematics, At?l?m University, ?ncek, G?lba??, 06836, Ankara, Turkey
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Abstract: | We study fibre products of a finite number of Kummer covers of the projective line over finite fields. We determine the number of rational points of the fibre product over a rational point of the projective line, which improves the results of Özbudak and Temür (Appl Algebra Eng Commun Comput 18:433–443, 2007) substantially. We also construct explicit examples of fibre products of Kummer covers with many rational points, including a record and two new entries for the current table (http://www.manypoints.org, 2011). |
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