Symmetries, quotients and Kähler-Einstein metrics

DOI10.1515/CRELLE.2006.018zbMath1089.32013arXivmath/0402316MaRDI QIDQ3376933

Gian Pietro Pirola, Alessandro Ghigi, Claudio Arezzo

Publication date: 27 March 2006

Published in: Journal fur die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0402316

zbMATH Keywords

covering spacesKähler-Einstein metricsFano manifolds

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Fano varieties (14J45) Kähler-Einstein manifolds (32Q20)

Related Items (22)

Finite quasisimple groups acting on rationally connected threefolds ⋮ Gauged supergravities from M-theory reductions ⋮ Remarks on Kähler Ricci flow ⋮ Log canonical thresholds of certain Fano hypersurfaces ⋮ Equivariant K-stability under finite group action ⋮ Blowing up and desingularizing constant scalar curvature Kähler manifolds ⋮ Positivity of the CM line bundle for families of \(K\)-stable klt Fano varieties ⋮ K-stability of Fano varieties via admissible flags ⋮ K-stability of cubic fourfolds ⋮ Asymptotically conical Calabi-Yau manifolds. I ⋮ Seshadri constants and K-stability of Fano manifolds ⋮ Kähler-Einstein metrics and the Kähler-Ricci flow on log Fano varieties ⋮ Conical Kähler-Einstein metrics revisited ⋮ Kähler-Einstein Metrics via Moduli Continuity Method ⋮ Constant scalar curvature Kähler metrics on ramified Galois coverings ⋮ On K-semistable domains — more examples ⋮ Birational superrigidity and \(K\)-stability of Fano complete intersections of index \(1\) ⋮ K-STABILITY OF FANO MANIFOLDS WITH NOT SMALL ALPHA INVARIANTS ⋮ Optimal destabilizing centers and equivariant K-stability ⋮ On the Kummer construction for Kcsc metrics ⋮ \(K\)-stability of cubic threefolds ⋮ Extremal metrics on del Pezzo threefolds

Cites Work

• Moment maps, scalar curvature and quantization of Kähler manifolds
• On Calabi's conjecture for complex surfaces with positive first Chern class
• Multiplier ideal sheaves and Kähler-Einstein metrics of positive scalar curvature
• On Kähler-Einstein metrics on certain Kähler manifolds with \(C_ 1(M)>0\)
• Kähler-Einstein metrics on complex surfaces with \(C_ 1>0\)
• Kähler-Einstein metrics with positive scalar curvature
• Kähler--Ricci solitons on toric manifolds with positive first Chern class
• Stetige streng pseudokonvexe Funktionen
• Pencils of quadrics, binary forms and hyperclliptic curves

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