On K-Polystability of cscK Manifolds with Transcendental Cohomology Class

DOI10.1093/IMRN/RNY094zbMath1478.32053arXiv1711.11482OpenAlexW2804983117WikidataQ129944335 ScholiaQ129944335MaRDI QIDQ5015588

Zakarias Sjöström Dyrefelt

Publication date: 9 December 2021

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

Full work available at URL: https://arxiv.org/abs/1711.11482

zbMATH Keywords

compact Kähler manifoldsholomorphic vector fieldsK-polystability

Mathematics Subject Classification ID

Compact Kähler manifolds: generalizations, classification (32J27) Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25) Notions of stability for complex manifolds (32Q26)

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Weighted K-stability and coercivity with applications to extremal Kähler and Sasaki metrics ⋮ Geodesics in the space of relatively Kähler metrics ⋮ Weighted K-stability of polarized varieties and extremality of Sasaki manifolds ⋮ Optimal lower bounds for Donaldson's J-functional

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