On maximal curves in characteristic two |
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| Authors: | Miriam Abdón Fernando Torres |
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| Institution: | IMPA, Est. Dna. Castorina 110, Rio de Janeiro, 22.460-320-RJ, Brazil.?e-mail: miriam?impa.br, BR
IMECC-UNICAMP, Cx. P. 6065, Campinas, 13083-970-SP, Brazil.?e-mail: ftorres@ime.unicamp.br, BR
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| Abstract: | The genus g of an q-maximal curve satisfies g=g
1≔q(q−1)/2 or . Previously, q-maximal curves with g=g
1 or g=g
2, q odd, have been characterized up to q-isomorphism. Here it is shown that an q-maximal curve with genus g
2, q even, is q-isomorphic to the non-singular model of the plane curve ∑
i
=1}
t
y
q
/2
i
=x
q
+1, q=2
t
, provided that q/2 is a Weierstrass non-gap at some point of the curve.
Received: 3 December 1998 |
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| Keywords: | Mathematics Subject Classification (1991):Primary 11G Secondary 14G |
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