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.

引用

页码：4739 / 4744

页数：6

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