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arxiv: math/9807166 · v1 · submitted 1998-07-29 · 🧮 math.AG

On curves covered by the Hermitian curve, II

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keywords curvecurvesmaximalcoveredgenushermitianmathcalautomorphisms
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We classify, up to isomorphism, maximal curves covered by the Hermitian curve \mathcal H by a prime degree Galois covering. We also compute the genus of maximal curves obtained by the quotient of \mathcal H by several automorphisms groups. Finally we discuss the value for the third largest genus that a maximal curve can have.

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