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• W3125086688 startingPage "109400" @default.
• W3125086688 abstract "We show that a Kähler-Ricci soliton on a Fano manifold can always be smoothly approximated by a sequence of relative anticanonically balanced metrics, also called quantized Kähler-Ricci solitons. The proof uses a semiclassical estimate on the spectral gap of an equivariant Berezin transform to extend a strategy due to Donaldson, and can be seen as the quantization of a method due to Tian and Zhu, using quantized Futaki invariants as obstructions for quantized Kähler-Ricci solitons. As corollaries, we recover the uniqueness of Kähler-Ricci solitons up to automorphisms, and show how our result also applies to Kähler-Einstein Fano manifolds with general automorphism group." @default.
• W3125086688 created "2021-02-01" @default.
• W3125086688 creator A5090825491 @default.
• W3125086688 date "2022-04-01" @default.
• W3125086688 modified "2023-09-26" @default.
• W3125086688 title "Balanced metrics for Kähler-Ricci solitons and quantized Futaki invariants" @default.
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• W3125086688 doi "https://doi.org/10.1016/j.jfa.2022.109400" @default.
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