2000/12/22 by Hajime Tsuji, Tsuji, Hajime
Mathematics · #32J25 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #math.AG #msc:32J25
paper · pdf · doi:10.48550/arxiv.math/0012225
15pages, no figure introduction was expanded and misquoted Theorem 2.4 is corrected
openalex publication_date 2000/12/22 · arxiv created 2001/02/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove the invariance of plurigenera under smooth projective deformations in full generality. The proof is done by several estimates of singular hermitian metrics in terms of L2-extension theorem of holomorphic sections.