# Le cône des fonctions plurisousharmoniques négatives et une conjecture de Coman

@article{Carlehed2002LeCD,
title={Le c{\^o}ne des fonctions plurisousharmoniques n{\'e}gatives et une conjecture de Coman},
author={Magnus Carlehed and Johannes I. Wiegerinck},
journal={Annales Polonici Mathematici},
year={2002},
volume={80},
pages={93-108}
}
• Published 2002
• Mathematics
• Annales Polonici Mathematici
Les fonctions plurisousharmoniques n'egatives dans un domaine Omega de C^n forment un c^one convexe. Nous consid'erons les points extr'emaux de ce c^one, et donnons trois exemples. En particulier, nous traitons le cas de la fonction de Green pluricomplexe. Nous calculons celle du bidisque, lorsque les p^oles se situent sur un axe. Nous montrons que cette fonction ne se confonde pas avec la fonction de Lempert correspondante. Cela donne un contre-exemple `a une conjecture de Dan Coman.
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