The compactifications of moduli spaces of Burniat surfaces with $2\le K^2\le 5$

Abstract

We describe compactifications of moduli spaces of Burniat surfaces with $2\le K_X^2\le 5$ obtained by adding KSBA surfaces, i.e. slc surfaces $X$ with ample canonical class $K_X$.

Minor update

References in corpus (2)

• Non-normal abelian covers
• Weighted grassmannians and stable hyperplane arrangements