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arXiv · 2610.03592

A Matsushima theorem, uniqueness and K-polystability for Kähler-Ricci shrinkers

Carlos Esparza·Junsheng Zhang
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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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Carlos Esparza, Junsheng Zhang. 2026-10-02. A Matsushima theorem, uniqueness and K-polystability for Kähler-Ricci shrinkers. https://arxiv.org/abs/2610.03592

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