Del Pezzo surfaces with Du Val singularities

2009/04/06 by Dimitra Kosta, Kosta, Dimitra · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.AG #math.DG #msc:14J26 #msc:14J45 #msc:32Q20

paper · pdf · doi:10.48550/arxiv.0904.0943

116 pages, Preliminary version of PhD thesis, Corrections Sect.3.2, Sect.4

arxiv created 2009/04/19 · arxiv updated 2009/12/01

Abstract

In this paper we study the problem of existence of orbifold Kaehler-Einstein metrics on del Pezzo surfaces of degree 1 with Du Val singular points. Moreover we compute global log canonical thresholds of del Pezzo surfaces of degree 1 with Du Val singularities and of del Pezzo surfaces of Picard rank 1 with Du Val singularities.

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