Local noncollapsing for complex Monge-Amp\`ere equations

arxiv（2022）

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摘要

We prove a local volume noncollapsing estimate for K\"ahler metrics induced from a family of complex Monge-Amp\`ere equations, assuming a local Ricci curvature lower bound. This local volume estimate can be applied to establish various diameter and gradient estimate.

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关键词

complex monge–ampère,equations

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