Speaker: Xin Lu (East China Normal University)
Abstract: Let $G$ be an abelian automorphism group of a surface $S$ of general type. We will report the sharp upper bound on the order of $G$ depending on the first Chern number of $S$, i.e., we prove that $|G|\leq 12.5c_1^2(S)+100$ if the geometric genus $p_g(S)>6$. We also give a characterization on the surfaces reaching the upper bound. This is based on joint works with Professor Shengli Tan and Zhiming Guo.
Time: 10:30-11:30 a.m., Friday, Sep. 26
Location: Room 910, SIMIS
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