Kahler-Einstein metrics on log del Pezzo surfaces in weighted projective 3-spaces

2000/08/16 by Jennifer M. Johnson, Johnson, Jennifer M., János Kollár +1 · 2 citations
Mathematics · #14J26 14Q10 32Q20 (Primary) #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14J26 #msc:14Q10 #msc:32Q20

paper · pdf · doi:10.48550/arxiv.math/0008129

10 pages, LaTeX

arxiv created 2000/08/16 · arxiv updated 2009/11/30

Abstract

We determine the complete list of anticanonically embedded quasi smooth log del Pezzo surfaces in weighted projective 3-spaces. We prove that many of these admit a Kähler-Einstein metric and most of them do not have tigers.

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• Projection Cascades of models of log del Pezzo surfaces
• Rigid affine cones over singular del Pezzo surfaces

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