On curves over finite fields with many rational points

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dc.creatorFuhrmann, Rainer
dc.creatorTorres, Fernando
dc.date1996-03-14
dc.date.accessioned2026-07-07T09:06:45Z
dc.date.available2026-07-07T09:06:45Z
dc.descriptionWe study arithmetical and geometrical properties of {\it maximal curves}, that is, curves defined over the finite field $\mathbb F_{q^2}$ whose number of $\mathbb F_{q^2}$-rational points reachs the Hasse-Weil upper bound. Under a hypothesis on non-gaps at rational points we prove that maximal curves are $\mathbb F_{q^2}$-isomorphic to $y^q+y=x^m$ for some $m\in \mathbb Z^+$.
dc.descriptionLaTex2e, 10 pages
dc.identifierhttps://arxiv.org/abs/alg-geom/9603013
dc.identifierhttp://arxiv.org/abs/alg-geom/9603013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150123
dc.subjectAlgebraic Geometry
dc.titleOn curves over finite fields with many rational points
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