Year: 2024
Type: article
Abstract: We survey three constructions of metrized line bundles on the moduli of curves by means of Abel-Jacobi maps, uniformizations, and projective embeddings. We also describe two arithmetic applications: one to the uniform Bogomolov conjecture by Xinyi Yuan and the other to the Northcott property for Gross-Schoen cycles and Ceresa cycles.
Source: Scientia Sinica Mathematica
Author: Zhang Shouwu
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4402406866