2 papers
math.NT2025
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…
math.NT2025
Modularity of arithmetic special divisors for unitary Shimura varieties (with an appendix by Yujie Xu)
Congling Qiu
We construct explicit generating series of arithmetic extensions of Kudla's special divisors on integral models of unitary Shimura varieties over CM fields with arbitrary split lev…