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arXiv · 0803.2961

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

Fabio Pasticci
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Abstract

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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Fabio Pasticci. 2008-03-20. On the genus of a cyclic plane curve over a finite field. https://arxiv.org/abs/0803.2961

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