The Asymptotics of Symbolic Generic Initial Systems of Six Points in P2
Commutative Algebra
2013-05-02 v2
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.
Keywords
Cite
@article{arxiv.1210.8203,
title = {The Asymptotics of Symbolic Generic Initial Systems of Six Points in P2},
author = {Sarah Mayes},
journal= {arXiv preprint arXiv:1210.8203},
year = {2013}
}
Comments
17 pages, 3 figures. arXiv admin note: text overlap with arXiv:1210.1622