Pluricanonical systems of projective 3-folds of general type

2002/04/09 by Hajime Tsuji, Tsuji, Hajime · 1 citation
Mathematics · #32H25 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #Graph theory and applications #math.AG #msc:32H25

paper · pdf · doi:10.48550/arxiv.math/0204096

20pages

arxiv created 2002/04/09 · openalex publication_date 2002/04/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that for every positive integer m≥ 18(2⁹⋅ 3⁷)! and every smooth projective 3-fold of general type X defined over complex numbers, | mK_X| gives a birational rational map from X into a projective space.

Citations

• Pluricanonical systems of projective varieties of general type

Cited by

• Finite generation of a canonical ring

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