Space of K\"ahler metrics (V)-- K\"ahler quantization
classification
🧮 math.DG
keywords
ahlerquantizationspacealternativeapplicationscasecertainconvergence
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We prove the convergence of geodesic distance during the quantization of the space of K\"ahler potentials. As applications, this provides alternative proofs of certain inequalities about the K-energy functional in the projective case.
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