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Seminar
FIELD Mathematics
DATE April 26 (Mon), 2021
TIME 16:30-17:30
PLACE 8101
SPEAKER Shin, YongJoo
HOST Keum, JongHae
INSTITUTE 충남대학교
TITLE Minimal complex surfaces of general type with $p_g=0$ and $K^2=7$ via bidouble covers
ABSTRACT 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.
FILE 38291618210574141_1.pdf
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