Let Fqjavax.xml.bind.JAXBElement@60d37c4e be the finite field with q2 elements. Most of the known Fqjavax.xml.bind.JAXBElement@467809f9-maximal curves arise as quotient curves of the Fqjavax.xml.bind.JAXBElement@2829bbbf-maximal Hermitian curve Hq. After a seminal paper by Garcia, Stichtenoth and Xing, many papers have provided genera of quotients of Hq, but their complete determination is a challenging open problem. In this paper we determine completely the spectrum of genera of quotients of Hq for any q≡1(mod4).
The complete list of genera of quotients of the Fqjavax.xml.bind.JAXBElement@65d340c9-maximal Hermitian curve for q ≡ 1 (mod 4) / Montanucci, M.; Zini, G.. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - 550:(2020), pp. 23-53. [10.1016/j.jalgebra.2020.01.004]
The complete list of genera of quotients of the Fqjavax.xml.bind.JAXBElement@65d340c9-maximal Hermitian curve for q ≡ 1 (mod 4)
Zini G.
2020
Abstract
Let Fqjavax.xml.bind.JAXBElement@60d37c4e be the finite field with q2 elements. Most of the known Fqjavax.xml.bind.JAXBElement@467809f9-maximal curves arise as quotient curves of the Fqjavax.xml.bind.JAXBElement@2829bbbf-maximal Hermitian curve Hq. After a seminal paper by Garcia, Stichtenoth and Xing, many papers have provided genera of quotients of Hq, but their complete determination is a challenging open problem. In this paper we determine completely the spectrum of genera of quotients of Hq for any q≡1(mod4).
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