Regularizing properties of Complex Monge-Amp\`ere flows

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Tô, Tat Dat;
  • Subject: Mathematics - Analysis of PDEs | Mathematics - Complex Variables | Mathematics - Differential Geometry
    arxiv: Mathematics::Complex Variables

We study the regularizing properties of complex Monge-Amp\`ere flows on a K\"ahler manifold $(X,\omega)$ when the initial data are $\omega$-psh functions with zero Lelong number at all points. We prove that the general Monge-Amp\`ere flow has a solution which is immedia... View more
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