2001/11/14 by Carolina Araujo, Araujo, Carolina · 1 citation
Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #Black Holes and Theoretical Physics #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.AG
paper · pdf · doi:10.48550/arxiv.math/0111164
10 pages
arxiv created 2001/11/14 · openalex publication_date 2001/11/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Recently Johnson and Kollár determined the complete list of anticanonically embedded quasi smooth log del Pezzo surfaces in weighted projective 3-spaces. They also proved that many of those surfaces admit a Kähler-Einstein metric, and that some of them do not have tigers. The aim of this paper is to settle the question of the existence of Kähler-Einstein metrics and tigers for those surfaces for which the question was still open. In order to do so, we will use techniques developed earlier by Nadel and Demailly and Kollár.