On maximal curves that are not quotients of the Hermitian curve
نویسندگان
چکیده
منابع مشابه
Fp2-MAXIMAL CURVES WITH MANY AUTOMORPHISMS ARE GALOIS-COVERED BY THE HERMITIAN CURVE
Let F be the finite field of order q, q = p with p prime. It is commonly atribute to J.P. Serre the fact that any curve F-covered by the Hermitian curve Hq+1 : y = x + x is also F-maximal. Nevertheless, the converse is not true as the GiuliettiKorchmáros example shows provided that q > 8 and h ≡ 0 (mod 3). In this paper, we show that if an F-maximal curve X of genus g ≥ 2 where q = p is such th...
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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 in some cases the same order sequence of the linear series associated to maximal curves, but that are not isomorphic. Dedicated with affection to Zhe-Xian Wan on the occasion of his 80-th birthday
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ژورنال
عنوان ژورنال: Finite Fields and Their Applications
سال: 2016
ISSN: 1071-5797
DOI: 10.1016/j.ffa.2016.05.005