The Generic Initial Ideals of Powers of a 2-Complete Intersection

2012/06/25 by Sarah Mayes, Mayes, Sarah
Computer Science · Mathematics · #13P10 (Primary) 13C40 (Secondary) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #math.AC #msc:13C40 #msc:13P10

paper · pdf · doi:10.48550/arxiv.1206.5750

61 pages, 6 figures; typos corrected

openalex publication_date 2012/06/25 · arxiv created 2012/09/30 · arxiv updated 2012/10/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compute the reverse lexicographic generic initial ideals of the powers of a 2-complete intersection ideal I. In particular, we give six algorithms to compute these generic initial ideals, the choice of which depends on the power and on the relative degrees of the minimal generators of I.

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