On the arithmetic of the hyperelliptic curve y^{2} = x^{n} + a

Title:

On the arithmetic of the hyperelliptic curve y^{2} = x^{n} + a

Creator:

Aktaş, Kevser and Şenay, Hasan

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:b3c57d96-9994-4250-8501-6397498e2af4
uuid:b3c57d96-9994-4250-8501-6397498e2af4
issn:0011-4642

Subject:

Matematika, matematika, aritmetika, eliptické křivky, mathematics, arithmetic, curves, hyperelliptic curve, Lang’s conjecture, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

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)., Kevser Aktaş, Hasan Şenay., and Obsahuje seznam literatury

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Source:

Czechoslovak Mathematical Journal | 2016 Volume:66 | Number:1

Harvested from:

CDK

Metadata only:

false