On the genus of a cyclic curve over a finite field |
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| Affiliation: | 1. School of Mathematics and Statistics, Xidian University, Xi’an, Shaanxi, 710071, China;2. Department of Math., West Virginia University, Morgantown, WV, 26506, USA |
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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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| Keywords: | Projective Plane Cyclic Arc Singer Group Algebraic Curve |
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