LIMITS OF MULTIPOLE PLURICOMPLEX GREEN FUNCTIONS

DOI10.1142/S0129167X12500656zbMath1246.32035arXiv1103.2296MaRDI QIDQ2888830

Alexander Rashkovskii, Jón Magnússon, Ragnar Sigurdsson, Pascal J. Thomas

Publication date: 4 June 2012

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.2296

zbMATH Keywords

pluricomplex Green functionHilbert-Samuel multiplicitycomplex Monge-Ampère operatorideals of holomorphic functions

Mathematics Subject Classification ID

Plurisubharmonic extremal functions, pluricomplex Green functions (32U35) Residues for several complex variables (32A27)

Related Items (2)

Limit of Green Functions and Ideals, the Case of Four Poles ⋮ Transcendental versions in \(\mathbb{C}^n\) of the Nagata conjecture

Cites Work

• Unnamed Item
• Unnamed Item
• Convergence and multiplicities for the Lempert function
• Mesures de Monge-Ampère et mesures pluriharmoniques. (Monge-Ampère measures and pluriharmonic measures)
• Pluricomplex Green and Lempert functions for equally weighted poles
• The pluricomplex Green function with two poles of the unit ball of \(\mathbb{C}^n\)
• The general definition of the complex Monge-Ampère operator.
• Weak*-convergence of Monge-Ampère measures
• Le problème des modules pour les sous-espaces analytiques compacts d'un espace analytique donné
• A global morphism from the Douady space to the cycle space
• Le cône des fonctions plurisousharmoniques négatives et une conjecture de Coman
• GREEN FUNCTIONS WITH SINGULARITIES ALONG COMPLEX SPACES

This page was built for publication: LIMITS OF MULTIPOLE PLURICOMPLEX GREEN FUNCTIONS