Quotient Curves of the Gk Curve
نویسندگان
چکیده
For every q = l with l a prime power greater than 2, the GK curve X is an Fq2 -maximal curve that is not Fq2 -covered by any Fq2 -maximal DeligneLusztig curve. Interestingly, X has a very large Fq2-automorphism group with respect to its genus. In this paper we compute the genera of a large variety of curves that are Galois-covered by the GK curve, thus providing several new values in the spectrum of genera of Fq2 -maximal curves.
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