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A Matsushima theorem, uniqueness and K-polystability for Kähler-Ricci shrinkers
Carlos Esparza, Junsheng Zhang
Source abstract
For noncompact smooth Kähler-Ricci shrinkers, we prove a Matsushima theorem identifying the centralizer of the soliton field with the complexification of its Killing centralizer, uniqueness up to biholomorphism on a fixed complex manifold, and K-polystability of the associated polarized Fano fibration.
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