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Citation - WoS: 3
Citation - Scopus: 3
Fibre Products of Kummer Covers and Curves With Many Points
(Springer, 2007) Oebudak, Ferruh; Temur, Burcu Guelmez
We study the general fibre product of any two Kummer covers of the projective line over finite fields. Under some assumptions, we obtain an involved condition for the existence of rational points in the fibre product over a rational point of the projective line so that we determine the exact number of the rational points. Using this, we construct explicit examples of such fibre products with many rational points. In particular we obtain a record and a new entry for the table (http://www.science.uva.nl/(similar to)geer/tables-mathcomp15.ps).
Citation - WoS: 6
Citation - Scopus: 5
Finite Number of Fibre Products of Kummer Covers and Curves With Many Points Over Finite Fields
(Springer, 2014) Ozbudak, Ferruh; Temur, Burcu Gulmez
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 Ozbudak and Temur (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).