Let $g\geq 24$. Then $M_g$ is of general type. Does there exist $h>g$ such that $M_g$ is a subvariety of $M_h$? That is, does there exist an immersion $M_g \to M_g$?
If the answer is not known, then what would one expect?
2026-04-02 13:26:00.1775136360
Is $M_g$ a subvariety of $M_{h}$ for some $h>g$
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