IC/96/47 United Nations Educational Scientific and Cultural Organization and International Atomic Energy Agency INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS ON CURVES OVER FINITE FIELDS WITH MANY RATIONAL POINTS
نویسندگان
چکیده
We study arithmetical and geometrical properties of maximal curves, that is, curves defined over the finite field ¥q2 whose number of ¥q2 -rational points reachs the Hasse-Weil upper bound. Under a hypothesis on non-gaps at rational points we prove that maximal curves are ¥q2 -isomorphic to y q + y = x for some m £ Z + . MIRAMARE TRIESTE March 1996 1 E-mail: [email protected] E-mail: [email protected] l
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