A note on the definition of K-stability
classification
🧮 math.AG
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k-stabilitydefinitionalteredauthorcodimensionconfigurationscsckdonaldson-futaki
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As recently pointed out by Li and Xu, the definition of K-stability, and the author's proof of K-stability for cscK manifolds without holomorphic vector fields, need to be altered slightly: the Donaldson-Futaki invariant is positive for all test configurations which are not trivial in codimension 2.
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