b-Stability and Blow-Ups

DOI10.1017/S0013091513000825zbMath1288.53070arXiv1107.1699OpenAlexW2963480155MaRDI QIDQ5398468

Simon K. Donaldson

Publication date: 28 February 2014

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.1699

zbMATH Keywords

birational geometryKähler-Einstein metricsb-stabilityChow invariant

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Families, moduli, classification: algebraic theory (14J10) Birational geometry (14E99)

Related Items (5)

Kähler-Einstein metrics ⋮ Toric surfaces, \(K\)-stability and Calabi flow ⋮ Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry ⋮ Convergence of the Calabi flow on toric varieties and related Kähler manifolds ⋮ Filtrations and test-configurations

Cites Work

• Blowing up and desingularizing constant scalar curvature Kähler manifolds
• K-stability of constant scalar curvature Kähler manifolds
• Stability, energy functionals, and Kähler-Einstein metrics
• Unstable blowups

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