2016/04/30 by Samuel Lundqvist, Lisa Nicklasson · 2 citations
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #Combinatorics #Commutative Algebra and Its Applications #Conjecture #Discrete mathematics #Field (mathematics) #Mathematics #Monomial #Polynomial and algebraic computation #Property (philosophy) #Pure mathematics #Residue (chemistry) #math.AC
paper · pdf · doi:10.1016/j.jalgebra.2018.11.024
published as J. Algebra , 521 (2019), 213-234
arxiv created 2016/11/09 · openalex publication_date 2018/12/14 · arxiv updated 2019/05/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper we study the Lefschetz properties of monomial complete intersections in positive characteristic. We give a complete classification of the strong Lefschetz property when the number of variables is at least three, which proves a conjecture by Cook II. We also extend earlier results on the weak Lefschetz property by dropping the assumption on the residue field being infinite, and by giving new sufficient criteria.