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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.AG2024
Faber--Pandharipande cycle, real multiplication and torsion points
Congling Qiu
A result of Green and Griffiths states that for the generic curve over of genus with a canonical divisor , its Faber--Pandharipande 0-cycle $K\times…
math.AG2024
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 , there are two canonically constructed homologically trivial algebraic -cycles, the Ceresa cycle in the Jacobian of , and the Gross-Kudla…