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arXiv · 2408.11057

Proper splittings and projectivity for good moduli spaces

Dori Bejleri·Elden Elmanto·Matthew Satriano
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Abstract

We show that any good moduli space $\pi : \mathcal{X} \to Y$ has a splitting after a proper, generically finite covering of $Y$. As an application we generalize Koll\'ar's ampleness lemma to give a criterion for projectivity of a good moduli space.

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Dori Bejleri, Elden Elmanto, Matthew Satriano. 2024-08-20. Proper splittings and projectivity for good moduli spaces. https://arxiv.org/abs/2408.11057

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