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Author Country (or Countries)

Germany

Abstract

Let Mg be the moduli space of smooth algebraic curves of genus g over C. In this paper, we prove that the set Sr⊆ M3 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 ∈ {1, 2, 3}, 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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