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arXiv · 1710.03818

On the projectivity of the moduli space of stable surfaces in characteristic p>5

Zsolt Patakfalvi
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Abstract

We prove that every proper subspace of the moduli space of stable surfaces with fixed volume over an algebraically closed field of characteristic p>5 is projective. As a consequence we also deduce that the same moduli space is projective over Z[1/30] modulo two conjectural local properties of the moduli functor.

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Zsolt Patakfalvi. 2017-10-10. On the projectivity of the moduli space of stable surfaces in characteristic p>5. https://arxiv.org/abs/1710.03818

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