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 $ℂ$. We exhibit infinitely many nonhyperelliptic curves, including the Fricke–Macbeath curve, Bring’s curve, and two $1$-dimensional families parameterized by certain Hurwitz spaces, for which our condition is satisfied.

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