FIELD Mathematics April 26 (Mon), 2021 16:30-17:30 8101 Shin, YongJoo Keum, JongHae Ãæ³²´ëÇÐ±³ Minimal complex surfaces of general type with $p_g=0$ and $K^2=7$ via bidouble covers Let $S$ be a minimal surface of general type with $p_g(S)=0$ and $K_S^2=7$ over the field of complex numbers. Inoue firstly constructed such surfaces $S$ described as Galois $\mathbb{Z}_2 \times \mathbb{Z}_2$-covers over the four-nodal cubic surface. Chen later found different surfaces $S$ constructed as Galois $\mathbb{Z}_2 \times \mathbb{Z}_2$-covers over six nodal del Pezzo surfaces of degree one. In this talk we construct a two-dimensional family of surfaces $S$ different from ones by Inoue and Chen. The construction uses Galois $\mathbb{Z}_2 \times \mathbb{Z}_2$-covers over rational surfaces with Picard number three, with eight nodes and with two elliptic fibrations. This is a joint work with Yifan Chen. 38291618210574141_1.pdf