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 İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Konu: 5
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1007/s00200-007-0047-8
  • Dergi Adı: Applicable Algebra in Engineering, Communications and Computing
  • Sayfa Sayıları: ss.433-443

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).