Unboundedness of foliated varieties

For any positive integer numbers [Formula: see text] and [Formula: see text], we construct a complex foliated variety [Formula: see text] of general type with dim [Formula: see text] and rank [Formula: see text] such that the pluricanonical system [Formula: see text] does not give a birational map. This answers a question of Cascini.

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Publication Details

Journal
International Journal of Mathematics
Published
2024-12-12
DOI
https://doi.org/10.1142/s0129167x2550003x
Primary Topic
Advanced Differential Equations and Dynamical Systems
Type
article
Field-Weighted Citation Impact
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article

Unboundedness of foliated varieties

Xin Lü
International Journal of Mathematics
Advanced Differential Equations and Dynamical Systems
article

Unboundedness of foliated varieties

Xin Lü
article en

Abstract

For any positive integer numbers [Formula: see text] and [Formula: see text], we construct a complex foliated variety [Formula: see text] of general type with dim [Formula: see text] and rank [Formula: see text] such that the pluricanonical system [Formula: see text] does not give a birational map. This answers a question of Cascini.

International Journal of MathematicsVol. 36(06)
East China Normal University (CN)
Openalex Percentile: Top 65%
Advanced Differential Equations and Dynamical Systems
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Unboundedness of foliated varieties — Xin Lü · International Journal of Mathematics (2024) | TGRS Research Map | TGRS