Boundedness of log pluricanonical representations of log Calabi-Yau pairs in dimension 2

被引：1
作者：
Jiang, Chen [1 ]
Liu, Haidong [2 ]
机构：
[1] Fudan Univ, Shanghai Ctr Math Sci, Shanghai, Peoples R China
[2] Peking Univ, Beijing Int Ctr Math Res BICMR, Beijing, Peoples R China
来源：
ALGEBRA & NUMBER THEORY | 2021年 / 15卷 / 02期
关键词：
log pluricanonical representation; boundedness; index conjecture; ABUNDANCE THEOREM;
D O I：
10.2140/ant.2021.15.545
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show the boundedness of B-pluricanonical representations of lc log Calabi-Yau pairs in dimension 2. As applications, we prove the boundedness of indices of slc log Calabi-Yau pairs up to dimension 3 and that of nonklt lc log Calabi-Yau pairs in dimension 4.
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页码：545 / 567
页数：23
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