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arxiv: 1412.8192 · v2 · pith:AL5WI2KHnew · submitted 2014-12-28 · 🧮 math.AP · math.DG

Generalized complex Monge-Amp\`ere type equations on closed Hermitian manifolds

classification 🧮 math.AP math.DG
keywords closedcomplexequationsgeneralizedhermitianmanifoldsmonge-amptype
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We study generalized complex Monge-Amp\`ere type equations on closed Hermitian manifolds. We derive {\em a priori} estimates and then prove the existence of admissible solutions. Moreover, the gradient estimate is improved.

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