Uniqueness and Stability in $\mathcal E(X,ω)$

Details Uniqueness and Stability in $\mathcal E(X,ω)$ Uniqueness and Stability in $\mathcal E(X,ω)$

2008-04-21

arxiv.org/abs/0804.3407v1

Mathematics

Complex Variables

12 pages

Scientific paper

We prove uniqueness for the Dirichlet problem for the complex Monge-Amp\`ere
equation on compact K\"ahler manifolds in the case of measures vanishing on
pluripolar sets. As a by-product we generalize Xing's stability theorem.

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