On the arithmetic of the hyperelliptic curve
Czechoslovak Mathematical Journal (2016)
- Volume: 66, Issue: 1, page 35-40
- ISSN: 0011-4642
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topAktaş, Kevser, and Şenay, Hasan. "On the arithmetic of the hyperelliptic curve $y^2=x^n+a$." Czechoslovak Mathematical Journal 66.1 (2016): 35-40. <http://eudml.org/doc/276765>.
@article{Aktaş2016,
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).},
author = {Aktaş, Kevser, Şenay, Hasan},
journal = {Czechoslovak Mathematical Journal},
keywords = {hyperelliptic curve; Lang's conjecture},
language = {eng},
number = {1},
pages = {35-40},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the arithmetic of the hyperelliptic curve $y^2=x^n+a$},
url = {http://eudml.org/doc/276765},
volume = {66},
year = {2016},
}
TY - JOUR
AU - Aktaş, Kevser
AU - Şenay, Hasan
TI - On the arithmetic of the hyperelliptic curve $y^2=x^n+a$
JO - Czechoslovak Mathematical Journal
PY - 2016
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 66
IS - 1
SP - 35
EP - 40
AB - 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).
LA - eng
KW - hyperelliptic curve; Lang's conjecture
UR - http://eudml.org/doc/276765
ER -
References
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- Wolfart, J., 10.1007/BF02941437, Abh. Math. Semin. Univ. Hamb. 54 German (1984), 25-33. (1984) MR0780235DOI10.1007/BF02941437
- Wolfart, J., Wüstholz, G., 10.1007/BF01455911, Math. Ann. 273 (1985), German 1-15. (1985) MR0814192DOI10.1007/BF01455911
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