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math.AG2023
Vanishing results for the modified diagonal cycles II: Shimura curves
Congling Qiu, Wei Zhang
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 exa…
math.NT2023
Finiteness properties for Shimura curves and modified diagonal cycles
Congling Qiu
We prove that only finitely many Shimura curves can have gonality bounded by a given number, and we study the computability of this finite set. Motivated by the relation between hy…