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math.CO2016
Lefschetz properties of balanced 3-polytopes
David Cook, Martina Juhnke-Kubitzke, Satoshi Murai +1
In this paper, we study Lefschetz properties of Artinian reductions of Stanley-Reisner rings of balanced simplicial -polytopes. A -dimensional simplicial complex is said…
math.AC2016
Some algebras with the weak Lefschetz property
David Cook, Uwe Nagel
Using a connection to lozenge tilings of triangular regions, we establish an easily checkable criterion that guarantees the weak Lefschetz property of a quotient by a monomial idea…
math.AC2016
Syzygy bundles and the weak Lefschetz property of almost complete intersections
David Cook, Uwe Nagel
Deciding the presence of the weak Lefschetz property often is a challenging problem. In this work an in-depth study is carried out in the case of Artinian monomial ideals with four…