HOẠT ĐỘNG TRONG TUẦN

Sharp bound on the abelian automorphism groups of surfaces of general type
Speaker: Xin Lu (East China Normal University)

Time: 15h15, Friday, 17/6/2022

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Abstract: We prove that the order of any abelian (resp. cyclic) automorphism group of a smooth complex projective of general type is bounded from above by $12.5c_1^2+100$ (resp. $12.5c_1^2+90$) provided that its geometric genus $p_g>6$. The upper bounds can be both reached by infinitely many examples whose geometric genera can be arbitrarily large. This is a joint work with Sheng-Li Tan.

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