Constant scalar curvature Kähler metrics on ramified Galois coverings

DOI10.1515/crelle-2023-0026arXiv2110.01222OpenAlexW4367189050MaRDI QIDQ6161167

Yalong Shi, Alberto Della Vedova, Claudio Arezzo

Publication date: 5 June 2023

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.01222

zbMATH Keywords

Kähler-Einstein metricsramified coveringscscK metrics

Mathematics Subject Classification ID

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

Cites Work

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• Conical Kähler-Einstein metrics revisited
• Blowing up Kähler manifolds with constant scalar curvature. II.
• On the moduli spaces of surfaces of general type. Appendix: Letter of E. Bombieri written to the author
• The Mabuchi geometry of finite energy classes
• 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
• On the existence of constant scalar curvature Kähler metric: a new perspective
• Numerical characterization of the Kähler cone of a compact Kähler manifold
• Optimal lower bounds for Donaldson's J-functional
• Continuity of delta invariants and twisted Kähler-Einstein metrics
• Deformations from a given Kähler metric to a twisted cscK metric
• A criterion for the properness of the \(K\)-energy in a general Kähler class
• Existence of twisted constant scalar curvature Kähler metrics with a large twist
• Dihedral Galois covers of algebraic varieties and the simple cases
• Convexity of the extended K-energy and the large time behavior of the weak Calabi flow
• A thermodynamical formalism for Monge-Ampère equations, Moser-Trudinger inequalities and Kähler-Einstein metrics
• Kähler-Einstein metrics on orbifolds and Einstein metrics on spheres
• Iterated double covers and connected components of moduli spaces
• Tian’s properness conjectures and Finsler geometry of the space of Kähler metrics
• On K-stability of finite covers
• Symmetries, quotients and Kähler-Einstein metrics
• Automorphisms and moduli spaces of varieties with ample canonical class via deformations of abelian covers
• On the constant scalar curvature Kähler metrics (II)—Existence results
• On the convergence and singularities of the J‐Flow with applications to the Mabuchi energy
• Abelian covers of algebraic varieties.

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