Unboundedness of foliated varieties

被引：0
作者：
Lu, Xin [1 ,2 ]
机构：
[1] East China Normal Univ, Sch Math Sci, Key Lab MEA, Minist Educ, Shanghai 200241, Peoples R China
[2] East China Normal Univ, Shanghai Key Lab PMMP, Shanghai 200241, Peoples R China
来源：
INTERNATIONAL JOURNAL OF MATHEMATICS | 2025年
基金：
中国国家自然科学基金;
关键词：
Foliated variety; boundedness; family; EXPLICIT BIRATIONAL GEOMETRY; GENERAL TYPE; PLURICANONICAL SYSTEMS; 3-FOLDS; BOUNDEDNESS; DIMENSION; REDUCTION; MODELS;
D O I：
10.1142/S0129167X2550003X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For any positive integer numbers n > r and m, we construct a complex foliated variety (X,& Fouriertrf;) of general type with dim X = n and rank & Fouriertrf; = r such that the pluricanonical system |mK(& Fouriertrf;)| does not give a birational map. This answers a question of Cascini.
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页数：9
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