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arXiv · 2412.01257

Holomorphic maps between moduli spaces II

Rodrigo De Pool·Juan Souto
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Abstract

We prove that forgetful maps are the only non-constant holomorphic maps $\mathcal{M}_{g,r}\to \mathcal{M}_{g',r'}$ between moduli spaces, as long as $g\ge 4$ and $g'\le 3\cdot 2^{g-3}$.

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Rodrigo De Pool, Juan Souto. 2024-12-02. Holomorphic maps between moduli spaces II. https://arxiv.org/abs/2412.01257

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