The Lefschetz Property for Componentwise Linear Ideals and Gotzmann Ideals

2003/07/16 by Attila Wiebe, Wiebe, Attila · 3 citations
Mathematics · #13A02 #13D02 #13E10 #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #msc:13A02 #msc:13D02 #msc:13E10

paper · pdf · doi:10.48550/arxiv.math/0307223

10 pages

arxiv created 2003/07/16 · arxiv updated 2009/12/01

Abstract

For standard graded Artinian K-algebras defined by componentwise linear ideals and Gotzmann ideals, we give conditions for the weak Lefschetz property in terms of numerical invariants of the defining ideals.

Cited by

• Monomial Almost Complete Intersections and the Strong Lefschetz Property
• General symmetric ideals
• On the weak and strong Lefschetz properties for initial ideals of determinantal ideals with respect to diagonal monomial orders

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