Monge-Ampere measures on subvarieties
classification
🧮 math.CV
keywords
measuresaddressarticlecarriedcomplexconditionsdimensionequation
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In this article we address the question whether the complex Monge-Amp\`{e}re equation is solvable for measures with large singular part. We prove that under some conditions there are no solution when the right-hand side is carried by a smooth subvariety in $\CEP{n}$ of dimension $k<n$.
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