Unboundedness of foliated varieties

Xin Lü

doi:10.1142/S0129167X2550003X

Unboundedness of foliated varieties

Xin Lü^*

^*此作品的通讯作者

数学科学学院

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

For any positive integer numbers n > r and m, we construct a complex foliated variety (X,ℱ) of general type with dim X = n and rank ℱ = r such that the pluricanonical system |mK_ℱ| does not give a birational map. This answers a question of Cascini.

源语言	英语
文章编号	2550003
期刊	International Journal of Mathematics
卷	36
期	6
DOI	https://doi.org/10.1142/S0129167X2550003X
出版状态	已出版 - 1 5月 2025

访问文件

10.1142/S0129167X2550003X

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{156320c11d5b45e0843dd2d486c3bcf6,

title = "Unboundedness of foliated varieties",

abstract = "For any positive integer numbers n > r and m, we construct a complex foliated variety (X,ℱ) of general type with dim X = n and rank ℱ = r such that the pluricanonical system |mKℱ| does not give a birational map. This answers a question of Cascini.",

keywords = "Foliated variety, boundedness, family",

author = "Xin L{\"u}",

note = "Publisher Copyright: {\textcopyright} 2025 World Scientific Publishing Company.",

year = "2025",

month = may,

day = "1",

doi = "10.1142/S0129167X2550003X",

language = "英语",

volume = "36",

journal = "International Journal of Mathematics",

issn = "0129-167X",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "6",

}

TY - JOUR

T1 - Unboundedness of foliated varieties

AU - Lü, Xin

PY - 2025/5/1

Y1 - 2025/5/1

N2 - For any positive integer numbers n > r and m, we construct a complex foliated variety (X,ℱ) of general type with dim X = n and rank ℱ = r such that the pluricanonical system |mKℱ| does not give a birational map. This answers a question of Cascini.

AB - For any positive integer numbers n > r and m, we construct a complex foliated variety (X,ℱ) of general type with dim X = n and rank ℱ = r such that the pluricanonical system |mKℱ| does not give a birational map. This answers a question of Cascini.

KW - Foliated variety

KW - boundedness

KW - family

UR - https://www.scopus.com/pages/publications/85215868922

U2 - 10.1142/S0129167X2550003X

DO - 10.1142/S0129167X2550003X

M3 - 文章

AN - SCOPUS:85215868922

SN - 0129-167X

VL - 36

JO - International Journal of Mathematics

JF - International Journal of Mathematics

IS - 6

M1 - 2550003

ER -

Unboundedness of foliated varieties

摘要

访问文件

其它文件与链接

学术指纹

引用此