A simply connected surface of general type with $p_g=1$, $q=0$, and $K^2=8$

Heesang Park, Jongil Park, Dongsoo Shin

We construct a new family of simply connected minimal complex surfaces with $p_g=1$, $q=0$, and $K^2=8$ using a $\mathbb{Q}$-Gorenstein smoothing theory.