Abstract
In this article, we characterize the genera of those quotient curves of the -maximal Hermitian curve for which either G is contained in the maximal subgroup of fixing a self-polar triangle, or q is even and G is contained in the maximal subgroup of fixing a pole-polar pair with respect to the unitary polarity associated to In this way, several new values for the genus of a maximal curve over a finite field are obtained. Our results leave just two open cases to provide the complete list of genera of Galois subcovers of the Hermitian curve; namely, the open cases in [4] when G fixes a point and q is even, and the open cases in [33] when and q is odd.
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