On Maximal Curves
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Rainer Fuhrmann; Arnaldo Garcia; Fernando Torres
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Article
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1997
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Elsevier Science
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English
⚖ 407 KB
We study arithmetical and geometrical properties of maximal curves, that is, curves defined over the finite field F q 2 whose number of F q 2 -rational points reaches the Hasse Weil upper bound. Under a hypothesis on non-gaps at a rational point, we prove that maximal curves are F q 2 -isomorphic to