On curves covered by the Hermitian curve, II

1998/07/29 by A. Cossidente, G. Korchmaros, F. Torres
Mathematics · #math.AG #msc:11G20 #msc:11G #msc:11 #msc:14G15 #msc:14G #msc:14

paper · pdf

published as Comm. Algebra 28(1) (2000), 4707--4728 · 21 pages, Latex2e

arxiv created 1998/07/29 · arxiv updated 2009/11/30

Abstract

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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