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arxiv: 0803.0985 · v2 · submitted 2008-03-06 · 🧮 math.DG

Kahler geometry on toric manifolds, and some other manifolds with large symmetry

S.K. Donaldson This is my paper
classification 🧮 math.DG
keywords manifoldsmetricsothertoricarticledeformationsdiscussexistence
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This is an expository article. Among other topics, we discuss the existence of Kahler-Ricci soliton metrics on toric Fano manifolds, and Kahler-Einstein metrics on deformations of the Mukai-Umemura 3-fold

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  1. On the geometry of non-collapsed polarized cscK surfaces

    math.DG 2026-06 unverdicted novelty 4.0

    Gromov-Hausdorff convergence of non-collapsed polarized cscK surfaces is realized as Hilbert scheme convergence, with Bergman kernel estimates enabling Zariski openness of cscK metrics in smooth polarized families.