Classification of genus 3 curves in special strata of the moduli space

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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 $\Me_3$ of plane quartics which have at least seven hyperflexes, and obtain an computational characterization of curves in these strata.

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Number Theory, Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/110297

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0603555
 http://arxiv.org/abs/math/0603555

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arXiv