PreprintarXiv licencearXiv
On the Torsion Subgroup of the Néron--Severi Group
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.
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BibTeX
@misc{gu2026torsion,
title = {{On the Torsion Subgroup of the Néron--Severi Group}},
author = {Kaiyuan Gu},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.34115},
eprint = {2610.34115},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.34115},
}
RIS
TY - UNPB
TI - On the Torsion Subgroup of the Néron--Severi Group
AU - Kaiyuan Gu
PY - 2026
DA - 2026/10/25
PB - arXiv
DO - 10.48550/arxiv.2610.34115
UR - https://arxiv.org/abs/2610.34115
AB - 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.
ER -