pluricomplex Green function complex Monge-Ampère equation ideals of holomorphic functions
Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
Serdica Mathematical Journal, Vol. 40, No 2, (2014), 99p-110p
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.