[Solutions faibles des équations de Monge–Ampère complexes sur des variétés de Kähler compactes]
Nous montrons un théorème général d'existence et d'unicité de solution d'une équation de type Monge–Ampère complexe sur des variétés de Kähler compactes.
We show a general existence theorem of solutions to the complex Monge–Ampère type equation on compact Kähler manifolds.
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@article{CRMATH_2014__352_7-8_589_0,
author = {Benelkourchi, Slimane},
title = {Weak solutions to complex {Monge{\textendash}Amp\`ere} equations on compact {K\"ahler} manifolds},
journal = {Comptes Rendus. Math\'ematique},
pages = {589--592},
publisher = {Elsevier},
volume = {352},
number = {7-8},
year = {2014},
doi = {10.1016/j.crma.2014.06.003},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2014.06.003/}
}
TY - JOUR AU - Benelkourchi, Slimane TI - Weak solutions to complex Monge–Ampère equations on compact Kähler manifolds JO - Comptes Rendus. Mathématique PY - 2014 SP - 589 EP - 592 VL - 352 IS - 7-8 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2014.06.003/ DO - 10.1016/j.crma.2014.06.003 LA - en ID - CRMATH_2014__352_7-8_589_0 ER -
%0 Journal Article %A Benelkourchi, Slimane %T Weak solutions to complex Monge–Ampère equations on compact Kähler manifolds %J Comptes Rendus. Mathématique %D 2014 %P 589-592 %V 352 %N 7-8 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2014.06.003/ %R 10.1016/j.crma.2014.06.003 %G en %F CRMATH_2014__352_7-8_589_0
Benelkourchi, Slimane. Weak solutions to complex Monge–Ampère equations on compact Kähler manifolds. Comptes Rendus. Mathématique, Tome 352 (2014) no. 7-8, pp. 589-592. doi : 10.1016/j.crma.2014.06.003. http://www.numdam.org/articles/10.1016/j.crma.2014.06.003/
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