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math.AG2000
On the genus of a maximal curve
Gabor Korchmaros, Fernando Torres
Previous results on genera g of F_{q^2}-maximal curves are improved: (1) Either g\leq (q^2-q+4)/6, or g=\lfloor(q-1)^2/4\rfloor, or g=q(q-1)/2; (2) The hypothesis on the existence…
math.AG2000
Remarks on plane maximal curves
Angela Aguglia, Gabor Korchmaros, Fernando Torres
Some new results on plane F_{q^2}-maximal curves are stated and proved. It is known that the degree d of such curves is upper bounded by q+1 and that d=q+1 if and only if the curve…