Curves covered by the Hermitian curve |
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| Authors: | M. Giulietti, J.W.P. Hirschfeld, G. Korchm ros,F. Torres |
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| Affiliation: | aDipartimento di Matematica, Università di Perugia, 85100 Perugia, Italy;bDepartment of Mathematics, University of Sussex, Brighton BN1 9RF, UK;cDipartimento di Matematica, Università della Basilicata, Contrada Macchia Romana, 85100 Potenza, Italy;dIMECC-UNICAMP, Cx. P. 6065, Campinas-13083-970-SP, Brazil |
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| Abstract: | A family of maximal curves is investigated that are all quotients of the Hermitian curve. These curves provide examples of curves with the same genus, the same automorphism group and the same Weierstrass semigroup at a generic point, but that are not isomorphic. |
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| Keywords: | Hermitian curve Maximal curve Weierstrass semigroup |
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