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On the moduli space of smooth plane quartic curves with a sextactic point |
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PP: 509-513 |
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Author(s) |
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Alwaleed Kamel,
M. Farahat,
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Abstract |
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| LetMg be the moduli space of smooth algebraic curves of genus g over C: In this paper, we prove that the set SrM
3
of moduli points of smooth plane quartic curves (nonhyperelliptic curves of genus 3) having at least one sextactic point of sextact
multiplicity r; where r 2 f1; 2; 3g; is an irreducible, closed and rational subvariety of codimensional r 1 of M3 H3 (where
H3 M3 is the hyperelliptic locus ). |
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