Fibre products of Kummer covers and curves with many points

Date

2007-10-01

Author

Özbudak, Ferruh
Temur, Burcu Guelmez

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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).

Subject Keywords

Algebra and Number Theory, Applied Mathematics

URI

https://hdl.handle.net/11511/37720

Journal

Applicable Algebra in Engineering, Communications and Computing

DOI

https://doi.org/10.1007/s00200-007-0047-8

Collections

Department of Mathematics, Article

Citation Formats

F. Özbudak and B. G. Temur, “Fibre products of Kummer covers and curves with many points,” Applicable Algebra in Engineering, Communications and Computing, vol. 18, no. 5, pp. 433–443, 2007, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/37720.