Gorenstein stable surfaces with $K_X^2=1$ and $\chi ({\mathcal{O}}_X)=2$

Abstract

We classify - as far as possible - Gorenstein stable surfaces with $K_X^2=1$ and $\chi ({\mathcal{O}}_X)=2$, describing several strata in the moduli space quite in detail.

45 pages, 12 figures