On curves covered by the Hermitian curve, II

Details On curves covered by the Hermitian curve, II On curves covered by the Hermitian curve, II

1998-07-29

arxiv.org/abs/math/9807166v1

Comm. Algebra 28(1) (2000), 4707--4728

Mathematics

Algebraic Geometry

21 pages, Latex2e

Scientific paper

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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