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Arithmetic heights and screw numbers of curves over function fields
刘小雷 博士(中科院)
2018-01-01 12:13  华东师范大学

青年学术论坛

摘要: Screw numbers are invariants defined by Nielsen which measure the amount of Dehn twist. For a curve over function field of characteristic 0, we will discuss the relations between some arithmetic heights and screw numbers. For a hyperelliptic curve, we will express its Faltings height as linear combination of screw numbers. For the general case, we will give a universal lower bound for the geometric Bogomolov conjecture , which concerns the finiteness of algebraic points of small height. This is a joint work with Sheng-Li Tan and Jun Lu.