English

On curves covered by the Hermitian curve, II

Algebraic Geometry 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/9807166,
  title  = {On curves covered by the Hermitian curve, II},
  author = {A. Cossidente and G. Korchmaros and F. Torres},
  journal= {arXiv preprint arXiv:math/9807166},
  year   = {2007}
}

Comments

21 pages, Latex2e