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

Abstract

Consider the ideal I in K[x,y,z] corresponding to six points of P2. We study the limiting behaviour of the symbolic generic initial system, of I obtained by taking the reverse lexicographic generic initial ideals of the symbolic powers of I. The main result of this paper is a theorem describing the limiting shape of the symbolic generic initial system for each of the eleven possible configuration types of six points.

17 pages, 3 figures. arXiv admin note: text overlap with arXiv:1210.1622

References in corpus (4)

• Resolutions of ideals of six fat points in P^2
• The asymptotic behaviour of symbolic generic initial systems of points in general position
• The Symbolic Generic Initial System of Points on an Irreducible Conic
• The Symbolic Generic Initial System of Almost Linear Point Configurations in P2

Cited by in corpus (1)

• Asymptotic invariants of generic initial ideals