Complex minimal surfaces of general type with p_g= 0 and K^2 = 7 via bidouble covers
Speaker: YongJoo Shin (Chungnam National University)

Time: 13h15, Friday, May 14, 2021

Session Chairs: Prof. JongHae Keum (KIAS)

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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 Z_2×Z_2-covers over the four-noda cubic surface. Chen later found different surfaces S constructed as Galois Z_2×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 Z_2×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.

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