Finite Generation of Canonical Rings

1999/08/16 by Hajime Tsuji, Tsuji, Hajime
Mathematics · #32J25 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:32J25

paper · pdf · doi:10.48550/arxiv.math/9908078

minor change

arxiv created 2000/09/08 · arxiv updated 2009/11/30

Abstract

We prove the finite generation of canonical rings of projective variety of general type defined over complex numbers.

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• Additional Explanatory Notes on the Analytic Proof of the Finite Generation of the Canonical Ring
• Finite generation of a canonical ring
• Existence of minimal models for varieties of log general type
• Techniques for the Analytic Proof of the Finite Generation of the Canonical Ring
• Complex varieties of general type whose canonical systems are composed with pencils