对 Kawamata 一个定理的注记
代数几何
2024-01-22 v3
摘要
Kawamata 已证明:对数不规则度等于维数且对数 Kodaira 维数为 0 的拟射影簇的拟 Albanese 映射是双有理的。在本注记中,我们证明在这些假设下,正如 Iitaka 所猜想的,拟 Albanese 映射在余维数 1 处是真映射。
引用
@article{arxiv.2210.11776,
title = {A footnote to a theorem of Kawamata},
author = {Margarida Mendes Lopes and Rita Pardini and Sofia Tirabassi},
journal= {arXiv preprint arXiv:2210.11776},
year = {2024}
}
备注
Added an addendum by O. Fujino, M. Mendes Lopes, R. Pardini and S. Tirabassi that contains an alternative proof of Theorem A in the paper and explains how to avoid an unsubstantiated claim made in the original proof