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

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.

arXiv commentJust one change: the author was doubled in the previous version, which got corrected