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Envelope Approach to Degenerate Complex Monge–Ampére Equations on Compact Kähler Manifolds

Published online by Cambridge University Press:  20 November 2018

Slimane Benelkourchi
Slimane Benelkourchi*
Affiliation:
Département de mathématiques, Université du Québec à Montréal, C.P. 8888, Succursale Centre-ville, PK-5151, Montréal QC H3C 3P8 e-mail: benelkourchi.slimane@uqam.ca
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Abstract

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We use the classical Perron envelope method to show a general existence theorem to degenerate complex Monge–Ampére type equations on compact Kähler manifolds.

Keywords

32W2032Q2532U05degenerate complex Monge–Ampère equationcompact Kähler manifoldbig cohomologyplurisubharmonic function
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 60 , Issue 4 , 01 December 2017 , pp. 705 - 711
Copyright
Copyright © Canadian Mathematical Society 2017

References

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