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Let $M_3$ be the moduli space of genus three curves over $\mathbb C$. Are there non-constant regular functions of this space? What about complex analytic functions?

This question is prompted by the following one : Does the moduli space of genus three curves contain a complete genus two curveDoes the moduli space of genus three curves contain a complete genus two curve

Let $M_3$ be the moduli space of genus three curves over $\mathbb C$. Are there non-constant regular functions of this space? What about complex analytic functions?

This question is prompted by the following one : Does the moduli space of genus three curves contain a complete genus two curve

Let $M_3$ be the moduli space of genus three curves over $\mathbb C$. Are there non-constant regular functions of this space? What about complex analytic functions?

This question is prompted by the following one : Does the moduli space of genus three curves contain a complete genus two curve

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aglearner
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Regular (or complex analytic) functions on M_3

Let $M_3$ be the moduli space of genus three curves over $\mathbb C$. Are there non-constant regular functions of this space? What about complex analytic functions?

This question is prompted by the following one : Does the moduli space of genus three curves contain a complete genus two curve