Construction of Kaehler surfaces with constant scalar curvature

2004/12/20 by Yann Rollin, Rollin, Yann, Michael A. Singer +1 · 1 citation
Mathematics · Physics and Astronomy · #14E15 #53C20 #53C21 #53C25 #53C55 #Advanced Differential Geometry Research #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.AG #math.DG #msc:14E15 #msc:53C20 #msc:53C21 #msc:53C25 #msc:53C55

paper · pdf · doi:10.48550/arxiv.math/0412405

20 pages; 5 figures ; Higher dimensional examples added in v2

openalex publication_date 2004/12/20 · arxiv created 2005/04/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present new constructions of Kaehler metrics with constant scalar curvature on complex surfaces, in particular on certain del Pezzo surfaces. Some higher dimensional examples are provided as well.

Cited by

• Compact Complex Surfaces and Constant Scalar Curvature Kähler Metrics

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