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May 14, 2022 at 17:07 comment added David Lehavi Re the comment by @abx - for the genus 6 case see mathoverflow.net/questions/295624/…
May 6, 2022 at 9:32 comment added abx Just for fun, let me add that the case $g=2d-2$ is indeed an exception: Castelnuovo showed that a generic curve of genus $2d-2$ admits $C_{d-1}\ g^1_{d}$, where $C_{d-1}$ is the Catalan number $\frac{1}{d}\binom{2d-2}{d-1} $.
May 4, 2022 at 21:13 vote accept Pène Papin
May 4, 2022 at 20:28 history answered Will Sawin CC BY-SA 4.0