For every q=n3 with n a prime power greater than 2, the GK-curve is an Fqjavax.xml.bind.JAXBElement@3b9216ea-maximal curve that is not Fqjavax.xml.bind.JAXBElement@655204b5-covered by the Hermitian curve. In this paper some Galois subcovers of the GK curve are investigated. Infinitely many examples of maximal curves that cannot be Galois covered by the Hermitian curve are obtained. We also describe explicit equations for some families of quotient curves of the GK-curve. In several cases, such curves provide new values in the spectrum of genera of Fqjavax.xml.bind.JAXBElement@26191148-maximal curves.

Giulietti, M., Quoos, L., Zini, G. (2016). Maximal curves from subcovers of the GK-curve. JOURNAL OF PURE AND APPLIED ALGEBRA, 220(10), 3372-3383 [10.1016/j.jpaa.2016.04.004].

Maximal curves from subcovers of the GK-curve

Zini, G
2016

Abstract

For every q=n3 with n a prime power greater than 2, the GK-curve is an Fqjavax.xml.bind.JAXBElement@3b9216ea-maximal curve that is not Fqjavax.xml.bind.JAXBElement@655204b5-covered by the Hermitian curve. In this paper some Galois subcovers of the GK curve are investigated. Infinitely many examples of maximal curves that cannot be Galois covered by the Hermitian curve are obtained. We also describe explicit equations for some families of quotient curves of the GK-curve. In several cases, such curves provide new values in the spectrum of genera of Fqjavax.xml.bind.JAXBElement@26191148-maximal curves.
Articolo in rivista - Articolo scientifico
Algebra and Number Theory
English
2016
220
10
3372
3383
none
Giulietti, M., Quoos, L., Zini, G. (2016). Maximal curves from subcovers of the GK-curve. JOURNAL OF PURE AND APPLIED ALGEBRA, 220(10), 3372-3383 [10.1016/j.jpaa.2016.04.004].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/189886
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