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

Aktas, KEVSER; Senay, Hasan

doi:10.1007/s10587-016-0236-3

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

Aktas K., Senay H.

CZECHOSLOVAK MATHEMATICAL JOURNAL, cilt.66, sa.1, ss.35-40, 2016 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 66 Sayı: 1
Basım Tarihi: 2016
Doi Numarası: 10.1007/s10587-016-0236-3
Dergi Adı: CZECHOSLOVAK MATHEMATICAL JOURNAL
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.35-40
Gazi Üniversitesi Adresli: Evet

Özet

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).