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arXiv · 2106.10389

Dirichlet problem of complex Monge-Ampère equation near an isolated KLT singularity

Xin Fu
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Abstract

We solve the Dirichlet Problem of Monge-Ampère equation near an isolate Klt singularity, which generalizes the result of Eyssidieux-Guedj-Zeriahi \cite{EGZ}, where the Monge-Ampère equation is solved on singular varieties without boundary. As a corollary, we construct solutions to Monge-Ampère equation with isolated singularity on strongly pseudoconvex domain $Ω$ contained in $\mathbb{C}^n$.

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Xin Fu. 2022-05-14. Dirichlet problem of complex Monge-Ampère equation near an isolated KLT singularity. https://arxiv.org/abs/2106.10389

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