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Vanishing results in
Chow groups for the modified diagonal cycles
Congling Qiu and Wei Zhang |
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Vol. 6 (2024), No. 2, 225–247
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Abstract |
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We prove a sufficient condition for the vanishing of the modified diagonal cycle in the Chow group (with -coefficients) of the triple product of a curve over . We exhibit infinitely many nonhyperelliptic curves, including the Fricke–Macbeath curve, Bring’s curve, and two -dimensional families parameterized by certain Hurwitz spaces, for which our condition is satisfied. |
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Keywords
modified diagonal, Chow group, representation, Hurwitz
curves, Fricke–Macbeath curve, Bring's curve
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Mathematical Subject Classification
Primary: 11G30, 14C25
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Milestones
Received: 7 May 2023
Revised: 28 November 2023
Accepted: 14 December 2023
Published: 29 June 2024
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Authors |
| Congling Qiu | |
| Department of Mathematics Massachusetts Institute of Technology Cambridge, MA United States |
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| Wei Zhang | |
| Department of Mathematics Massachusetts Institute of Technology Cambridge, MA United States |
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| © 2024 MSP (Mathematical Sciences Publishers). |
