On the arithmetic of the hyperelliptic curve y (2) = x (n) + a

Aktas K., Senay H.

CZECHOSLOVAK MATHEMATICAL JOURNAL, vol.66, no.1, pp.35-40, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 66 Issue: 1
  • Publication Date: 2016
  • Doi Number: 10.1007/s10587-016-0236-3
  • Journal Name: CZECHOSLOVAK MATHEMATICAL JOURNAL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.35-40
  • Gazi University Affiliated: Yes

Abstract

We study the arithmetic properties of hyperelliptic curves given by the affine equation y (2) = x (n) +a by exploiting the structure of the automorphism groups. We show that these curves satisfy Lang's conjecture about the covering radius (for some special covering maps).