Saeed Tafazolian

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We construct examples of curves defined over the finite field F q 6 which are covered by the GK-curve. Thus such curves are maximal over F q 6 although they cannot be covered by the Hermitian curve for q > 2. We also give examples of maximal curves that cannot be Galois covered by the Hermitian curve over the finite field F q 2n with n > 3 odd and q > 2. We(More)
Let C be a projective, geometrically irreducible and non-singular algebraic curve defined over the finite field F q 2 with q 2 elements. We say that C is maximal over F q 2 if the number of its rational points attains the Hasse-Weil's upper bound: #C(F q 2) = 1 + q 2 + 2gq. Here we consider maximal Picard curves over a finite field with q 2 elements of(More)
For a field k, we consider the following category: objects: abelian varieties over k; morphisms: Mor(A, B) := Hom(A, B) ⊗ Q. This is called the category of abelian varieties up to isogeny, Isab(k), over k because two abelian varieties become isomorphic in Isab(k) if and only if they are isogenous. It is a Q-linear category (i.e., it is additive and the(More)
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