ADVANCES IN MATHEMATICS OF COMMUNICATIONS, vol.10, no.1, pp.151-162, 2016 (SCI-Expanded)
Article / Article
ADVANCES IN MATHEMATICS OF COMMUNICATIONS
Science Citation Index Expanded (SCI-EXPANDED), Scopus
Curves with many points over finite fields, Kummer covers, fibre products, rational points, algebraic function fields, RATIONAL-POINTS
Middle East Technical University Affiliated:
We study fibre products of an arbitrary number of Kummer covers of the projective line over F-q under suitable weak assumptions. If q - 1 = r(n) for some prime r, then we completely determine the number of rational points over a rational point of the projective line. Using this result we obtain explicit examples of fibre products of three Kummer covers supplying new entries for the current table of curves with many points (http://www.manypoints.org,October 31 2015).