Vanishing results in Chow groups for the modified diagonal cycles

被引：0

作者：

Qiu, Congling ^{[1
]}

Zhang, Wei ^{[1
]}

机构：

[1] MIT, Dept Math, Cambridge, MA 02139 USA

来源：

TUNISIAN JOURNAL OF MATHEMATICS | 2024年 / 6卷 / 02期

关键词：

modified diagonal; Chow group; representation; Hurwitz curves; Fricke-Macbeath curve; Bring's curve; POINTS; CURVE;

D O I：

10.2140/tunis.2024.6.225

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a sufficient condition for the vanishing of the modified diagonal cycle inthe Chow group (withQ-coefficients) of the triple product of a curve overC. Weexhibit infinitely many nonhyperelliptic curves, including the Fricke-Macbeathcurve, Bring's curve, and two1-dimensional families parameterized by certainHurwitz spaces, for which our condition is satisfied.

引用

页码：225 / 247

页数：28

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