Limit of Three-Point Green Functions: the Degenerate Case

Quang Hai, Duong, and Thomas, Pascal J.. "Limit of Three-Point Green Functions: the Degenerate Case." Serdica Mathematical Journal 40.2 (2014): 99-110. <http://eudml.org/doc/295002>.

@article{QuangHai2014,
abstract = {We investigate the limits of the ideals of holomorphic functions vanishing on three points in C^2 when all three points tend to the origin, and what happens to the associated pluricomplex Green functions. This is a continuation of the work of Magnusson, Rashkovskii, Sigurdsson and Thomas, where those questions were settled in a generic case. 2010 Mathematics Subject Classification: 32U35, 32A27.},
author = {Quang Hai, Duong, Thomas, Pascal J.},
journal = {Serdica Mathematical Journal},
keywords = {pluricomplex Green function; complex Monge-Ampère equation; ideals of holomorphic functions},
language = {eng},
number = {2},
pages = {99-110},
publisher = {Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences},
title = {Limit of Three-Point Green Functions: the Degenerate Case},
url = {http://eudml.org/doc/295002},
volume = {40},
year = {2014},
}

TY - JOUR
AU - Quang Hai, Duong
AU - Thomas, Pascal J.
TI - Limit of Three-Point Green Functions: the Degenerate Case
JO - Serdica Mathematical Journal
PY - 2014
PB - Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
VL - 40
IS - 2
SP - 99
EP - 110
AB - We investigate the limits of the ideals of holomorphic functions vanishing on three points in C^2 when all three points tend to the origin, and what happens to the associated pluricomplex Green functions. This is a continuation of the work of Magnusson, Rashkovskii, Sigurdsson and Thomas, where those questions were settled in a generic case. 2010 Mathematics Subject Classification: 32U35, 32A27.
LA - eng
KW - pluricomplex Green function; complex Monge-Ampère equation; ideals of holomorphic functions
UR - http://eudml.org/doc/295002
ER -