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

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

2012-02-06

arxiv.org/abs/1202.1317v1

Mathematics

Commutative Algebra

Scientific paper

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.

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