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On maximal curves in characteristic two
Miriam Abdon, Fernando Torres
The genus g of an F_{q^2}-maximal curve satisfies g=g_1:=q(q-1)/2 or g\le g_2:= [(q-1)^2/4]. Previously, such curves with g=g_1 or g=g_2, q odd, have been characterized up to isomo…
On curves covered by the Hermitian curve, II
A. Cossidente, G. Korchmaros, F. Torres
We classify, up to isomorphism, maximal curves covered by the Hermitian curve \mathcal H by a prime degree Galois covering. We also compute the genus of maximal curves obtained by…
On curves covered by the Hermitian curve
A. Cossidente, G. Korchmaros, F. Torres
For each proper divisor d of (r^2-r+1), r being a power of a prime, maximal curves over a finite field with r^2 elements covered by the Hermitian curve of genus 1/2((r^2-r+1)/d-1)…
On plane maximal curves
A. Cossidente, J. W. P. Hirschfeld, G. Korchmaros +1
The genus of a maximal curve over a finite field with r^2 elements is either g_0=r(r-1)/2 or less than or equal to g_1=(r-1)^2/4. Maximal curves with genus g_0 or g_1 have been cha…
On maximal curves having classical Weierstrass gaps
Arnaldo Garcia, Fernando Torres
We study geometrical properties of maximal curves having classical Weierstrass gaps.