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Fibre products of Kummer covers and curves with many points
Date
2007-10-01
Author
Özbudak, Ferruh
Metadata
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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
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F. Özbudak, “Fibre products of Kummer covers and curves with many points,”
Applicable Algebra in Engineering, Communications and Computing
, pp. 433–443, 2007, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/37720.