Lefschetz properties of local face modules

Algebraic Combinatorics 2026 Open access

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Authors: Matt Larson, Alan Stapledon
DOI: 10.5802/alco.453
Cited by: 0
References: 20

Abstract

Local face modules are modules over face rings whose Hilbert function is the local h -vector of a triangulation of a simplex. We study when Lefschetz properties hold for local face modules. We prove new inequalities for local h -vectors of vertex-induced triangulations by proving Lefschetz properties for local face modules of these triangulations. We show that, even for regular triangulations, Lefschetz properties can fail for local face modules in positive characteristic.

Fields of Study & Subjects

Commutative Algebra and Its Applications Algebraic structures and combinatorial models Rings Modules and Algebras

Publication details

Journal / source
Algebraic Combinatorics
Volume
8
Issue
6
Pages
1473–1491
Publication date
6 January 2026
Language
EN