Families of curves covered by the Hermitian curve

Giulietti, M, Hirschfeld, J W P, Korchmáros, G and Torres, F (2010) Families of curves covered by the Hermitian curve. Séminaires et congrès, 21. pp. 63-78. ISSN 1285-2783

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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.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Depositing User: James Hirschfeld
Date Deposited: 06 Feb 2012 21:16
Last Modified: 21 Jun 2012 09:34
URI: http://sro.sussex.ac.uk/id/eprint/30579
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