Existence of complete Kähler Ricci-flat metrics on crepant resolutions

DOI10.1142/S0219199714500035zbMath1316.32018arXiv0902.0595OpenAlexW2963112324MaRDI QIDQ5170123

Bianca Santoro

Publication date: 18 July 2014

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.0595

zbMATH Keywords

resolution of singularitiesMonge-Ampère equationCalabi Yau manifolds

Mathematics Subject Classification ID

Calabi-Yau theory (complex-analytic aspects) (32Q25) Kähler manifolds (32Q15)

Related Items

Calabi-Yau structures and Einstein-Sasakian structures on crepant resolutions of isolated singularities ⋮ A Kummer construction for gravitational instantons ⋮ On asymptotics of complete Ricci-flat Kähler metrics on open manifolds ⋮ Asymptotically conical Calabi-Yau metrics on quasi-projective varieties ⋮ Gravitational instantons from rational elliptic surfaces

Cites Work

• Unnamed Item
• The topology of asymptotically locally flat gravitational instantons
• Gravitational instantons of type \(D_{k}\)
• Ricci-flat Kähler metrics on crepant resolutions of Kähler cones
• Complete Kähler manifolds with zero Ricci curvature. II
• \(D_k\) gravitational instantons and Nahm equations
• A mass for ALF manifolds
• Gravitational instantons from rational elliptic surfaces
• Elliptic Partial Differential Equations of Second Order
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• On the existence of a complete Kähler metric on non-compact complex manifolds and the regularity of fefferman's equation
• Asymptotically locally Euclidean metrics with holonomy SU(\(m\))