Fibre products of Kummer covers and curves with many points

Oebudak, FERRUH; Temur, Burcu

doi:10.1007/s00200-007-0047-8

Fibre products of Kummer covers and curves with many points

Oebudak F., Temur B. G.

Applicable Algebra in Engineering, Communications and Computing, cilt.18, sa.5, ss.433-443, 2007 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 18 Sayı: 5
Basım Tarihi: 2007
Doi Numarası: 10.1007/s00200-007-0047-8
Dergi Adı: Applicable Algebra in Engineering, Communications and Computing
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.433-443
Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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).