The canonical volume of threefolds of general type with χ<1

2007/04/13 by Jungkai A. Chen, Meng Chen, Chen, Jungkai A. +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Analysis and Curvature Flows #math.AG

paper · pdf · doi:10.48550/arxiv.0704.1702

16 pages, Updated version, To appear in Journal of LMS

openalex publication_date 2007/04/13 · arxiv created 2008/06/27 · arxiv updated 2009/12/01 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

We prove that the canonical volume K³≥ 1/30 for all projective 3-folds of general type with χ(O)≤ 0. This bound is sharp.

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