Geodesic
Limit of Three-Point Green Functions: the Degenerate Case
Serdica Mathematical Journal, Tome 40 (2014) no. 2, pp. 99-110

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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.
Keywords: pluricomplex Green function, complex Monge-Ampère equation, ideals of holomorphic functions 
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Quang Hai, Duong; Thomas, Pascal J. Limit of Three-Point Green Functions: the Degenerate Case. Serdica Mathematical Journal, Tome 40 (2014) no. 2, pp. 99-110. http://geodesic.mathdoc.fr/item/SMJ2_2014_40_2_a0/