Year: 2026
Type: preprint
Abstract: We prove an explicit bound for the torsion subgroup of the Néron--Severi group of a smooth projective complex variety. The proof combines the Diophantine-approximation method of Ziyang Gao and the author (https://arxiv.org/abs/2608.22285) with Lefschetz fibrations. As an application, we deduce an explicit bound for the torsion sections of a traceless abelian scheme over a complex curve.
Source: arXiv (Cornell University)
Author: Gu, Kaiyuan
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223948701