Vanishing results for the modified diagonal cycles II: Shimura curves

Author:

Congling Qiu, Wei Zhang

Keyword:

Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG), Number Theory (math.NT)

journal:

date:

2023-10-29 16:00:00

Abstract

We prove vanishing results for the modified diagonal cycles in the Chow groups of the triple products of Shimura curves and their motivic direct summands. In particular we find examples of curves with trivial automorphism groups and vanishing modified diagonal cycles.

PDF: Vanishing results for the modified diagonal cycles II: Shimura curves.pdf