broadcast in Room 515, Cosmology Bldg., NTU, Online seminar
(線上演講 於台大次震宇宙館515教室直播/收播)
Complex Minimal Surfaces of General Type with p_g= 0 and K^2 = 7 via Bidouble Covers
YongJoo Shin (Chungnam National University)
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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