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arxiv: 1401.6398 · v1 · pith:QCF2KAVInew · submitted 2014-01-24 · 🧮 math.CV · math.AP· math.DG

Complex Monge-Amp\`ere equations on quasi-projective varieties

Eleonora Di Nezza , Chinh H. Lu This is my paper
classification 🧮 math.CV math.APmath.DG
keywords monge-ampcomplexdivisorequationsoutsidesmoothcapacitiescases
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We introduce generalized Monge-Amp\`ere capacities and use these to study complex Monge-Amp\`ere equations whose right-hand side is smooth outside a divisor. We prove, in many cases, that there exists a unique normalized solution which is smooth outside the divisor.

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