Unboundedness of foliated varieties

Xin Lü

doi:10.1142/S0129167X2550003X

Unboundedness of foliated varieties

Xin Lü^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

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 |mK_ℱ| does not give a birational map. This answers a question of Cascini.

Original language	English
Article number	2550003
Journal	International Journal of Mathematics
Volume	36
Issue number	6
DOIs	https://doi.org/10.1142/S0129167X2550003X
State	Published - 1 May 2025

Keywords

Foliated variety
boundedness
family

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10.1142/S0129167X2550003X

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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.",

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year = "2025",

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doi = "10.1142/S0129167X2550003X",

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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

Abstract

Keywords

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