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arxiv: 0910.3937 · v1 · submitted 2009-10-20 · 🧮 math.CV · math.DG

Pluripotential estimates on compact Hermitian manifolds

classification 🧮 math.CV math.DG
keywords compactestimateshermitianmanifoldspluripotentialaspectsassumptiondiscuss
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We discuss pluripotential aspects of the Monge-Amp\`ere equations on compact Hermitian manifolds and prove $L^{\infty}$ estimates for any metric, as well as the existence of weak solutions under an extra assumption.

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