The Limiting Polytope of the Generic Initial System of a Complete Intersection

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.

Cited by in corpus (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