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Families of curves separating points

2026-04-07 16:03:46

时间: 2026年4月14日(周二)16:00-17:30

地点: E14-222


主讲人: Wojciech Porowski, RIMS, Kyoto University

讲座主题: Families of curves separating points

讲座摘要: Let X be a hyperbolic curve over an algebraically closed field k. Let S be a finite subset of the set of k-rational points of X. We consider the following problem:

Does there exist a family of curves Y->X over X s such that the Jacobians of fibres over points in S are pairwise non isogenous?

In the first part of the talk, working in characteristic zero, we will sketch a positive solution to this problem after passing a finite etale cover of X. In the second part we will discuss an application of this method to a problem concerning Galois sections.