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Weak subsolutions to complex Monge-Ampère equations

Abstract : We compare various notions of weak subsolutions to degenerate complex Monge-Amp\`ere equations, showing that they all coincide. This allows us to give an alternative proof of mixed Monge-Amp\`ere inequalities due to Kolodziej and Dinew.
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https://hal.archives-ouvertes.fr/hal-01890196
Contributor : Hoang-Chinh Lu <>
Submitted on : Wednesday, July 28, 2021 - 2:13:04 PM
Last modification on : Friday, July 30, 2021 - 4:03:08 AM

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Vincent Guedj, Chinh H. Lu, Ahmed Zeriahi. Weak subsolutions to complex Monge-Ampère equations. Journal of the Mathematical Society of Japan, Maruzen Company Ltd, 2019, ⟨10.2969/jmsj/79677967⟩. ⟨hal-01890196⟩

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