3 citations · 3 across the 2 of their papers we have counts for
4 papers · 1 filter
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…
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…
The weak Lefschetz property for monomial ideals of small type
David Cook, Uwe Nagel
In this work a combinatorial approach towards the weak Lefschetz property is developed that relates this property to enumerations of signed perfect matchings as well as to enumerat…
The strong Lefschetz property in codimension two
David Cook
Every artinian quotient of has the strong Lefschetz property if is a field of characteristic zero or is an infinite field whose characteristic is greater than the regu…