On abelian covers of the projective line with fixed gonality and many rational points
A smooth geometrically connected curve over the finite field q with gonality γ has at most γ(q + 1) rational points. Faber and Grantham conjectured that there exist curves of every sufficiently large genus with gonality γ that achieve this bound. In this paper, we show that this bound can be achieve...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
World Scientific
2022
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| Subjects: | |
| Online Access: | View Fulltext in Publisher |