Congling Qiu

collaborators

5 papers

math.AG2026

A Note on Jacobians with Prescribed Factors

Congling Qiu

Over an infinite field, we prove a refinement of Matsusaka's theorem in which the complementary isogeny factor can be made absolutely simple of arbitrarily large dimension. We also…

math.RT2025

Theta correspondence and Springer correspondence

Jia-Jun Ma, Congling Qiu, Zhiwei Yun +1

In this paper, we obtain an explicit formula for the theta correspondence of unipotent principal-series representations between an even orthogonal and a symplectic group or between…

math.NT2025

Hyperelliptic Shimura curves and $L$ -functions of central vanishing order at least 3

Congling Qiu

We use hyperelliptic Shimura curves to find triple product $L$ -functions of Hilbert newforms with central vanishing orders proved to be at least 3.

math.AG2025

Faber--Pandharipande cycle, real multiplication and torsion points

Congling Qiu

A result of Green and Griffiths states that for the generic curve $C$ over $C$ of genus $g \geq 4$ with a canonical divisor $K$ , its Faber--Pandharipande 0-cycle $K\times…

math.AG2025

Non-vanishing of Ceresa and Gross--Kudla--Schoen cycles associated to modular curves

Matt Kerr, Wanlin Li, Congling Qiu +1

Associated to an algebraic curve $X$ , there are two canonically constructed homologically trivial algebraic $1$ -cycles, the Ceresa cycle in the Jacobian of $X$ , and the Gross-Kudla…

A Note on Jacobians with Prescribed Factors

Theta correspondence and Springer correspondence

Hyperelliptic Shimura curves and L-functions of central vanishing order at least 3

Faber--Pandharipande cycle, real multiplication and torsion points

Non-vanishing of Ceresa and Gross--Kudla--Schoen cycles associated to modular curves

Hyperelliptic Shimura curves and $L$ -functions of central vanishing order at least 3