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Regularity of solutions to Monge--Ampère equations on compact Hermitian manifolds

Dang, Quang-Tuan
arXiv (All) · Papers
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complex-variablesdifferential-geometry
We study the stability and Hölder continuity of solutions to degenerate complex Monge--Ampère equations associated with a non-closed big form on compact Hermitian manifolds. We also show that the solution is globally continuous when the reference form is the pullback of a Hermitian metric. As a cons
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