The Ding Functional, Berndtsson Convexity and Moment Maps

DOI10.1007/978-3-319-49638-2_3zbMath1432.53093arXiv1503.05173OpenAlexW1733528911MaRDI QIDQ5275142

Simon K. Donaldson

Publication date: 10 July 2017

Published in: Progress in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.05173

zbMATH Keywords

Ricci flowmoment mapDing functionalFano manifoldsKähler-Ricci flowKähler-Einstein equations

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler-Einstein manifolds (32Q20) Flows related to complex manifolds (e.g., Kähler-Ricci flows, Chern-Ricci flows) (53E30)

Related Items (12)

Relative Ding and K-stability of toric Fano manifolds in low dimensions ⋮ Geometric flow, multiplier ideal sheaves and optimal destabilizer for a Fano manifold ⋮ Mabuchi's soliton metric and relative D-stability ⋮ The Kähler-Ricci flow and optimal degenerations ⋮ Coupled Kähler-Einstein and Hermitian-Yang-Mills equations ⋮ Kähler-Einstein metrics ⋮ Hessian of the Ricci-Calabi functional ⋮ Moment maps, nonlinear PDE and stability in mirror symmetry. I: Geodesics ⋮ Mabuchi metrics and properness of the modified Ding functional ⋮ The inverse Monge-Ampère flow and applications to Kähler-Einstein metrics ⋮ Relative Ding stability and an obstruction to the existence of Mabuchi solitons ⋮ A Weil-Petersson type metric on the space of Fano Kähler-Ricci solitons

This page was built for publication: The Ding Functional, Berndtsson Convexity and Moment Maps