Relative Ding stability and an obstruction to the existence of Mabuchi solitons

DOI10.1007/s12220-021-00858-zzbMath1487.32140arXiv1908.09518OpenAlexW2969748563MaRDI QIDQ2075349

Yi Yao

Publication date: 14 February 2022

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.09518

zbMATH Keywords

Okounkov bodyDing stabilityequivariant test-configurationsgeneralized Kähler-Einstein metricsMabuchi solitons

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Fibrations, degenerations in algebraic geometry (14D06) Kähler-Einstein manifolds (32Q20)

Related Items

Relative Ding and K-stability of toric Fano manifolds in low dimensions ⋮ Algebraic uniqueness of Kähler-Ricci flow limits and optimal degenerations of Fano varieties ⋮ Mabuchi's soliton metric and relative D-stability ⋮ Examples of relatively Ding unstable Calabi dream manifolds

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