Mabuchi Solitons and Relative Ding Stability of Toric Fano Varieties

DOI10.1093/imrn/rnab226OpenAlexW3202970057MaRDI QIDQ5871252

Yi Yao

Publication date: 18 January 2023

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.04016

zbMATH Keywords

toric Fano varietiesMabuchi solitonsmoment-weight inequalityrelative Ding stability

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Fano varieties (14J45) Kähler-Einstein manifolds (32Q20)

Related Items (9)

Generalized Kähler Einstein metrics and uniform stability for toric Fano manifolds ⋮ Relative Ding and K-stability of toric Fano manifolds in low dimensions ⋮ On the Yau‐Tian‐Donaldson Conjecture for Generalized Kähler‐Ricci Soliton Equations ⋮ Equivariant \(\mathbb{R}\)-test configurations and semistable limits of \(\mathbb{Q}\)-Fano group compactifications ⋮ Geometric flow, multiplier ideal sheaves and optimal destabilizer for a Fano manifold ⋮ Mabuchi's soliton metric and relative D-stability ⋮ Examples of relatively Ding unstable Calabi dream manifolds ⋮ Multiplier Hermitian-Einstein metrics on Fano manifolds of KSM-type ⋮ Relative Ding stability and an obstruction to the existence of Mabuchi solitons

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