Families of stable 3-folds in positive characteristic

Abstract

We show that flat families of stable 3-folds do not lead to proper moduli spaces in any characteristic $p>0$. As a byproduct, we obtain log canonical 4-fold pairs, whose log canonical centers are not weakly normal.

References in corpus (3)

• Invariance of plurigenera and good minimal models
• On the properness of the moduli space of stable surfaces over $\mathbb{Z}[1/30]$
• On rank one log del Pezzo surfaces in characteristic different from two and three