The Limiting Polytope of the Generic Initial System of a Complete Intersection
Commutative Algebra
2012-02-08 v1 Algebraic Geometry
Abstract
Consider a complete intersection I of type (d_1,..., d_r) in a polynomial ring over a field of characteristic 0. We study the graded system of ideals {gin(I^n)}_n obtained by taking the reverse lexicographic generic initial ideals of the powers of I and describe its asymptotic behavior. This behavior is nicely captured by the limiting polytope which is shown to depend only on the type of the complete intersection.
Keywords
Cite
@article{arxiv.1202.1317,
title = {The Limiting Polytope of the Generic Initial System of a Complete Intersection},
author = {Sarah Mayes},
journal= {arXiv preprint arXiv:1202.1317},
year = {2012}
}