Explicit Kodaira-Spencer maps over PEL Shimura varieties
Number Theory
2026-04-21 v1 Algebraic Geometry
Abstract
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 compute such morphisms and their effects on the canonical metrics of line bundles. This result provides a concrete method for comparing two canonical line bundles and the corresponding arithmetic intersection numbers. In particular, it allows us to give an explicit relationship between the height functions defined by these two line bundles.
Keywords
Cite
@article{arxiv.2604.17792,
title = {Explicit Kodaira-Spencer maps over PEL Shimura varieties},
author = {Ziqi Guo},
journal= {arXiv preprint arXiv:2604.17792},
year = {2026}
}