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Families of curves covered by the Hermitian curve

journal contribution
posted on 2023-06-08, 09:32 authored by M Giulietti, J W P Hirschfeld, G Korchmáros, F Torres
Let K be the finite field of order $q^2$. For every positive divisor m of q+1 for which d =(q+1)/m is prime, the plane curves C with the given affine equation are covered by the Hermitian curve. The non-singular K-models of these curves are K-maximal and provide examples of non-isomorphic curves with the same genus and the same automorphism group. The case m=2 was previously investigated by the authors.

History

Publication status

  • Published

Journal

Séminaires et congrès

ISSN

1285-2783

Publisher

Société mathématique de France

Volume

21

Page range

63-78

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

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