A footnote to a theorem of Kawamata

被引：1
|
作者：
Lopes, Margarida Mendes [1 ]
Pardini, Rita [2 ]
Tirabassi, Sofia [3 ,4 ]
机构：
[1] Univ Lisbon, Dept Matemat, CAMGSD, Inst Super Tecn, Lisbon, Portugal
[2] Univ Pisa, Dipartimento Matemat, Pisa, Italy
[3] Stockholm Univ, Dept Math, Stockholm, Sweden
[4] Stockholm Univ, Dept Math, Albano Campus Hus 1, Stockholm, Sweden
来源：
MATHEMATISCHE NACHRICHTEN | 2023年 / 296卷 / 10期
基金：
瑞典研究理事会;
关键词：
affine varieties; birational geometry of log-varieties; logarithmic Kodaira dimension; open varieties; quasi-abelian varieties; quasi-Albanese morphism; semi-abelian varieties; WWPB-equivalence;
D O I：
10.1002/mana.202200439
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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收藏
页码：4739 / 4744
页数：6
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