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Envelope Approach to Degenerate Complex Monge-Ampère Equations on Compact Kähler Manifolds

  Published:2017-09-01
 Printed: Dec 2017
  • Slimane Benelkourchi,
    Département de mathématiques, Université du Québec à Montréal, Montréal QC
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Abstract

We shall use the classical Perron envelope method to show a general existence theorem to degenerate complex Monge-Ampère type equations on compact Kähler manifolds.
Keywords: degenerate complex Monge-Ampère equation, compact Kähler manifold, big cohomology, plurisubharmonic function degenerate complex Monge-Ampère equation, compact Kähler manifold, big cohomology, plurisubharmonic function
MSC Classifications: 32W20, 32Q25, 32U05 show english descriptions Complex Monge-Ampere operators
Calabi-Yau theory [See also 14J30]
Plurisubharmonic functions and generalizations [See also 31C10]
32W20 - Complex Monge-Ampere operators
32Q25 - Calabi-Yau theory [See also 14J30]
32U05 - Plurisubharmonic functions and generalizations [See also 31C10]
 

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