30 citations · 60 across the 15 of their papers we have counts for
9 papers · 1 filter
The Strong Lefschetz Property of Gorenstein Algebras Generated by Relative Invariants
Takahiro Nagaoka, Akihito Wachi
We prove the strong Lefschetz property for Artinian Gorenstein algebras generated by the relative invariants of prehomogeneous vector spaces of commutative parabolic type.
The strong Lefschetz property for complete intersections defined by products of linear forms
Tadahito Harima, Akihito Wachi, Junzo Watanabe
We prove the strong Lefschetz property for certain complete intersections defined by products of linear forms, using a characterization of the strong Lefschetz property in terms of…
Lefschetz properties for complete intersection ideals generated by products of linear forms
Martina Juhnke-Kubitzke, Rosa M. Miró-Roig, Satoshi Murai +1
In this paper, we study the strong Lefschetz property of artinian complete intersection ideals generated by products of linear forms. We prove the strong Lefschetz property for a c…
A characterization of the Macaulay dual generators for quadratic complete intersections
Tadahito Harima, Akihito Wachi, Junzo Watanabe
Let be a homogeneous polynomial in variables of degree over a field . Let be the associated Artinian graded -algebra. If is a subalgebra o…
The resultants of quadratic binomial complete intersections
Tadahito Harima, Akihito Wachi, Junzo Watanabe
We compute the resultants for quadratic binomial complete intersections. As an application we show that any quadratic binomial complete intersection can have the set of square-free…
The EGH Conjecture and the Sperner property of complete intersections
Tadahito Harima, Akihito Wachi, Junzo Watanabe
Let be a graded complete intersection over a field and the monomial complete intersection with the generators of the same degrees as . The EGH conjecture says that if $I…