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arxiv: 0803.2961 · v1 · submitted 2008-03-20 · 🧮 math.AG

On the genus of a cyclic plane curve over a finite field

classification 🧮 math.AG
keywords cycliccurvecurvesgenusarcsarisingcentralcollineation
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Cyclic curves, i.e. curves fixed by a cyclic collineation group, play a central role in the investigation of cyclic arcs in Desarguesian projective planes. In this paper, the genus of a cyclic curve arising from a cyclic k-arc of Singer type is computed.

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