On the pluricanonical map of projective 3-folds of general type with P3 ≥ 2

In this paper, we prove that for all nonsingular projective 3-folds of general type with third plurigenus [Formula: see text], the pluricanonical map [Formula: see text] is birational onto its image for all [Formula: see text], which is optimal.

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Publication Details

Journal
International Journal of Mathematics
Published
2025-05-07
DOI
https://doi.org/10.1142/s0129167x25500235
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
0.00

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article

On the pluricanonical map of projective 3-folds of general type with P3 ≥ 2

Yong Hu, Jianshi Yan
International Journal of Mathematics
Algebraic Geometry and Number Theory
article

On the pluricanonical map of projective 3-folds of general type with P3 ≥ 2

Yong Hu, Jianshi Yan
article en

Abstract

In this paper, we prove that for all nonsingular projective 3-folds of general type with third plurigenus [Formula: see text], the pluricanonical map [Formula: see text] is birational onto its image for all [Formula: see text], which is optimal.

International Journal of Mathematics
Shanghai Jiao Tong University (CN), Northeastern University (CN)
National Natural Science Foundation of China
Openalex Percentile: Top 85%
Algebraic Geometry and Number Theory
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