Papers โบ A census of genus 6 curves over ๐ฝโ
A census of genus 6 curves over ๐ฝโ
Yongyuan Huang, Kiran S. Kedlaya, Jun Bo Lau
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We compile a complete list of isomorphism class representatives of curves of genus 6 over ๐ฝโ. We use explicit descriptions of canonical curves in each stratum of the Brill--Noether stratification of the moduli space โณโ, due to Mukai in the generic case. Our computed value of #โณโ(๐ฝโ) agrees with the Lefschetz trace formula as recently computed by Bergstrom--Canning--Petersen--Schmitt.
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