3 papers
math.NT2026
Modular Heights of Unitary Shimura Varieties III: Proof of the Main Theorem
Ziqi Guo
This is the third and the last of a series of three papers, in which we prove a formula expressing the modular height of a unitary Shimura variety over a CM number field in terms o…
math.NT2026
Modular Heights of Unitary Shimura Varieties II: Arithmetic Generating Series of Divisors
Ziqi Guo
This is the second of a series of three papers, in which we prove a formula expressing the modular height of a unitary Shimura variety over a CM number field in terms of the logari…
math.NT2026
Explicit Kodaira-Spencer maps over PEL Shimura varieties
Ziqi Guo
The goal of our work is to construct a class of morphisms between two canonical line bundles on integral models of PEL Shimura varieties via Kodaira--Spencer maps, and explicitly c…