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Consider the ideal I in K[x,y,z] corresponding to six points of P2. We studythe limiting behaviour of the symbolic generic initial system, of I obtained bytaking the reverse lexicographic generic initial ideals of the symbolic powersof I. The main result of this paper is a theorem describing the limiting shapeof the symbolic generic initial system for each of the eleven possibleconfiguration types of six points.

The Asymptotics of Symbolic Generic Initial Systems of Six Points in P2