A footnote to a theorem of Kawamata
Algebraic Geometry
2024-01-22 v3
Abstract
Kawamata has shown that the quasi-Albanese map of a quasi-projective variety with log-irregularity equal to the dimension and log-Kodaira dimension 0 is birational. In this note we show that under these hypotheses the quasi-Albanese map is proper in codimension 1 as conjectured by Iitaka.
Keywords
Cite
@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}
}
Comments
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