Geometry and topology of the space of Kähler metrics on singular varieties

DOI10.1112/S0010437X18007170zbMath1411.53056arXiv1606.07706OpenAlexW2473609377MaRDI QIDQ4683896

Vincent Guedj, Eleonora Di Nezza

Publication date: 26 September 2018

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.07706

zbMATH Keywords

Monge-Ampère equationKähler metricKähler classMabuchi distance

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Complex Monge-Ampère operators (32W20)

Related Items (12)

Extremizers of the \(J\) functional with respect to the \(d_1\) metric ⋮ \(L^1\) metric geometry of big cohomology classes ⋮ On the Yau‐Tian‐Donaldson Conjecture for Generalized Kähler‐Ricci Soliton Equations ⋮ Geodesic stability, the space of rays and uniform convexity in Mabuchi geometry ⋮ Geometry and topology of the space of plurisubharmonic functions ⋮ \(L^p\) metric geometry of big and nef cohomology classes ⋮ C1,1 regularity of geodesics of singular Kähler metrics ⋮ Geometric pluripotential theory on Kähler manifolds ⋮ Tits Buildings and K-Stability ⋮ Optimal asymptotic of the \(J\) functional with respect to the \(d_1\) metric ⋮ \(G\)-uniform stability and Kähler-Einstein metrics on Fano varieties ⋮ The uniform version of Yau-Tian-Donaldson conjecture for singular Fano varieties

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