On the moduli space of stable surfaces with $p_g=1$ realizing the minimal volume

Valery Alexeev, Wenfei Liu, Matthias Schütt

Let $M_1$ be the moduli space of the KSBA stable surfaces $X$ of geometric genus $p_g(X)=1$ realizing the minimal possible volume $K_X^2=\frac{1}{143}$. We show that its reduced part…