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

2012/02/06 by Sarah Mayes, Mayes, Sarah
Mathematics · #13C40 #13P10 #14F18 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.AG #msc:13C40 #msc:13P10 #msc:14F18

paper · pdf · doi:10.48550/arxiv.1202.1317

arxiv created 2012/02/06 · arxiv updated 2012/02/08

Abstract

Consider a complete intersection I of type (d₁,..., d_r) in a polynomial ring over a field of characteristic 0. We study the graded system of ideals gin(Iⁿ)_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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