5 citations · 12 across the 14 of their papers we have counts for
14 papers
A binary tree of complete intersections with the strong Lefschetz property
Tadahito Harima, Satoru Isogawa, Junzo Watanabe
In this paper we give a new family of complete intersections which have the strong Lefschetz property. The family consists of (Artinian algebras defined by) ideals generated by pow…
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…
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…
The quadratic complete intersections with the action of the symmetric group
Tadahito Harima, Akihito Wachi, Junzo Watanabe
We prove that any quadratic complete intersection with certain action of the symmetric group has the strong Lefschetz property over a field of characteristic zero. As a consequence…