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Limit of Three-Point Green Functions: the Degenerate Case

Quang Hai, DuongThomas, Pascal J. — 2014

Serdica Mathematical Journal

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.

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