Complete scalar-flat Kähler metrics on affine algebraic manifolds

DOI10.1007/s00209-020-02684-5zbMath1478.32073arXiv1910.12317OpenAlexW3124538814WikidataQ125996549 ScholiaQ125996549MaRDI QIDQ2231136

Takahiro Aoi

Publication date: 29 September 2021

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

Full work available at URL: https://arxiv.org/abs/1910.12317

zbMATH Keywords

plurisubharmonic functionscomplex Monge-Ampère equationsconstant scalar curvature Kähler metrics

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Positive curvature complex manifolds (32Q10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Degenerate complex Monge-Ampère equations
• Blowing up Kähler manifolds with constant scalar curvature. II.
• Blowing up and desingularizing constant scalar curvature Kähler manifolds
• Ricci-flat Kähler metrics on affine algebraic manifolds. II
• Regularity properties of the degenerate Monge-Ampère equations on compact Kähler manifolds
• Counter-examples to the generalized positive action conjecture
• Complete Kähler manifolds with zero Ricci curvature. II
• The complex Monge-Ampère equation
• Kähler metrics of constant scalar curvature on bundles over \({\mathbb{C}}{\mathbb{P}}_{n-1}\)
• Complex Monge-Ampère equations on quasi-projective varieties
• A momentum construction for circle-invariant Kähler metrics
• Weighted Sobolev inequalities under lower Ricci curvature bounds
• Métriques kählériennes et fibrés holomorphes
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• Complete Kahler Manifolds with Zero Ricci Curvature. I

This page was built for publication: Complete scalar-flat Kähler metrics on affine algebraic manifolds