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This Concept Map, created with IHMC CmapTools, has information related to: KaehlerRicciFlow, singularities form on boundary of Kaehler cone, singularities study with singularity model, smooth complex varieties can have geometrical descriptions of Kaehler classes, geometrical description of singularity described by Gromov-Hausdorff convergence, Kaehler manifolds including smooth complex varieties, minimal model program for smooth complex varieties, Kaehler classes lie in Kaehler cone, Hirzebruch manifolds (symmetric initial metric) contracting fibres, Ricci flow on Kaehler manifolds, geometrical description of singularity including blow-downs, geometrical description of singularity hope to provide insight into minimal model program, Ricci flow creates singularities, Hirzebruch manifolds (symmetric initial metric) contracting divisor, Kaehler manifolds rough description with Kaehler classes, geometrical description of singularity including Hirzebruch manifolds (symmetric initial metric), Kaehler cone possibly giving geometrical description of singularity, singularity model my thesis describes fibres, blow-downs have natural continuation of flow