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arXiv · 2209.09736

Vanishing results in Chow groups for the modified diagonal cycles

Congling Qiu·Wei Zhang
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Abstract

We prove a sufficient condition for the vanishing of the modified diagonal cycle in the Chow group (with $\mathbb{Q}$-coefficients) of the triple product of a curve over $\mathbb{C}$. We exhibit infinitely many non-hyperelliptic curves, including the Fricke--Macbeath curve, the Bring curve, and two 1-dimensional families parameterized by certain Hurwitz spaces, for which our condition is satisfied.

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Congling Qiu, Wei Zhang. 2022-09-20. Vanishing results in Chow groups for the modified diagonal cycles. https://doi.org/10.2140/tunis.2024.6.225

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