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Mathematics > Algebraic Geometry
Title: Boundedness of log Fano cone singularities and discreteness of local volumes
(Submitted on 26 Apr 2024)
Abstract: We prove that in any fixed dimension, K-semistable log Fano cone singularities whose volumes are bounded from below by a fixed positive number form a bounded set. As a consequence, we show that the set of local volumes of klt singularities of a fixed dimension has zero as the only accumulation point.
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