K-stability of smooth del Pezzo surfaces

DOI10.1007/s00208-017-1602-7zbMath1404.14042arXiv1608.06053OpenAlexW3102634752MaRDI QIDQ1627778

Joonyeong Won, Jihun Park

Publication date: 3 December 2018

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.06053

zbMATH Keywords

del Pezzo surfacesK-stabilityKahler-Einstein metrics

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26)

Related Items (17)

Delta invariants of singular del Pezzo surfaces ⋮ Positivity of the CM line bundle for families of \(K\)-stable klt Fano varieties ⋮ K-stability of Fano varieties via admissible flags ⋮ Basis log canonical thresholds, local intersection estimates, and asymptotically log del Pezzo surfaces ⋮ Delta-invariants of complete intersection log del Pezzo surfaces ⋮ Higher codimensional alpha invariants and characterization of projective spaces ⋮ Basis divisors and balanced metrics ⋮ Optimal destabilizing centers and equivariant K-stability ⋮ Cylinders in Fano varieties ⋮ K-stability of Fano varieties: an algebro-geometric approach ⋮ A variational approach to the Yau–Tian–Donaldson conjecture ⋮ Uniform K-stability and plt blowups of log Fano pairs ⋮ Simply connected Sasaki-Einstein rational homology 5-spheres ⋮ Thresholds, valuations, and K-stability ⋮ Delta invariants of projective bundles and projective cones of Fano type ⋮ Product theorem for K-stability ⋮ Delta invariants of smooth cubic surfaces

Cites Work

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• Smoothable del Pezzo surfaces with quotient singularities
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• Normal degenerations of the complex projective plane.
• Compact moduli spaces of del Pezzo surfaces and Kähler-Einstein metrics

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