Abstract
We describe the invariants of plane quartic curves — nonhyperelliptic genus 3 curves in their canonical model — as determined by Dixmier and Ohno, with application to the classification of curves with given structure. In particular, we determine modular equations for the strata in the moduli space \({\mathcal M}_3\) of plane quartics which have at least seven hyperflexes, and obtain an computational characterization of curves in these strata.
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Girard, M., Kohel, D.R. (2006). Classification of Genus 3 Curves in Special Strata of the Moduli Space. In: Hess, F., Pauli, S., Pohst, M. (eds) Algorithmic Number Theory. ANTS 2006. Lecture Notes in Computer Science, vol 4076. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11792086_25
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DOI: https://doi.org/10.1007/11792086_25
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