Stable Degenerations of Surfaces Isogenous to a Product II

Abstract

In this note, we describe the possible singularities on a stable surface which is in the boundary of the moduli space of surfaces isogenous to a product. Then we use the $\mathbb{Q}$-Gorenstein deformation theory to get some connected components of the moduli space of stable surfaces.

arXiv comment17 pages; the preliminary part is made more concise. Accecpted by Transactions of the American Mathematical Society

Cited by in corpus (2)

• Pluricanonical maps of stable log surfaces
• Moduli of products of stable varieties