Junzo Watanabe

Lefschetz elements of Artinian Gorenstein algebras and Hessians of homogeneous polynomials (2009)

Maeno, Toshiaki, Watanabe, Junzo

We give a characterization of the Lefschetz elements in Artinian Gorenstein rings over a field of characteristic zero in terms of the higher Hessians. As an application, we give new examples of...

Regular sequences of symmetric polynomials (2008)

Conca, Aldo, Krattenthaler, Christian, Watanabe, Junzo

Denote by p_k the k-th power sum symmetric polynomial n variables. The interpretation of the q-analogue of the binomial coefficient as Hilbert function leads us to discover that n consecutive power...

The strong Lefschetz property for Artinian algebras with non-standard grading (2007)

Harima, Tadahito, Watanabe, Junzo

We define the strong Lefschetz property for finite graded modules over graded Artinian algebras whose grading is not necessarily standard. We show that most results which have been obtained for...

Zero-dimensional Gorenstein algebras with the action of the symmetric group S^k (2006)

Morita, Hideaki, Wachi, Akihito, Watanabe, Junzo

Zero-dimensional Gorenstein algebras with the action of the symmetric group S^k (2006)

Morita, Hideaki, Wachi, Akihito, Watanabe, Junzo

Zero-dimensional Gorenstein algebras with the action of the symmetric group S^k (2006)

Morita, Hideaki, Wachi, Akihito, Watanabe, Junzo

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Zero dimensional Gorenstein algebras with the action of the symmetric group $S_k$ (2005)

Morita, Hideaki, Watanabe, Junzo

We consider irreducible decompositions of certain Artinian algebras with the action of the symmetric group. The equi-degree monomial complete intersection can be thought of as a k-fold tensor of an n...

Zero dimensional Gorenstein algebras with the action of the symmetric group $S_k$ (2005)

Morita, Hideaki, Watanabe, Junzo

We consider irreducible decompositions of certain Artinian algebras with the action of the symmetric group. The equi-degree monomial complete intersection can be thought of as a k-fold tensor of an n...

Zero dimensional Gorenstein algebras with the action of the symmetric group $S_k$ (2005)

Morita, Hideaki, Watanabe, Junzo

We consider irreducible decompositions of certain Artinian algebras with the action of the symmetric group. The equi-degree monomial complete intersection can be thought of as a k-fold tensor of an n...

${\germ m}$-full ideals (1987)

Watanabe, Junzo

Counting the number of basic invariants for ${\rm G}\subset{\rm GL}(2,\,k)$ acting on $k[X,\,Y]$ (1982)

Watanabe, Junzo

A note on Gorenstein rings of embedding codimension three (1973)

Watanabe, Junzo