论文标题

在洪伯特曲线的重言式戒指上

On the tautological ring of Humbert curves

论文作者

Laterveer, Robert

论文摘要

我们展示了5属5属的二维曲线,称为Humbert Curves,重言式环将其注入了共同体。特别是,Humbert曲线具有多重的Chow-künneth分解(在阴道的意义上),它们的Ceresa循环是扭转。

We exhibit a 2-dimensional family of non-hyperelliptic curves of genus 5, called Humbert curves, for which the tautological ring injects into cohomology. In particular, Humbert curves have a multiplicative Chow-Künneth decomposition (in the sense of Shen-Vial), and their Ceresa cycle is torsion.

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