The $\alpha $-invariant on certain surfaces with symmetry groups

DOI10.1090/S0002-9947-04-03484-1zbMath1081.53063OpenAlexW1520668280MaRDI QIDQ4819745

Jian Song

Publication date: 5 October 2004

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-04-03484-1

zbMATH Keywords

Kähler-Einstein metricblow-up procedure

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Kähler-Einstein manifolds (32Q20)

Cites Work

• Unnamed Item
• Unnamed Item
• On Calabi's conjecture for complex surfaces with positive first Chern class
• On a set of polarized Kähler metrics on algebraic manifolds
• On Kähler-Einstein metrics on certain Kähler manifolds with \(C_ 1(M)>0\)
• Kähler-Einstein metrics on complex surfaces with \(C_ 1>0\)
• The existence of Kähler-Einstein metrics on manifolds with positive anticanonical line bundle and a suitable finite symmetry group
• Kähler-Einstein metrics with positive scalar curvature
• Monge-Ampère equations of geometric origin on certain algebraic varieties
• A nonlinear inequality of Moser-Trudinger type
• Algebraic estimates, stability of local zeta functions, and uniform estimates for distribution functions
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• On the lower order terms of the asymptotic expansion of Tian-Yau-Zelditch