103 citations · 225 across the 38 of their papers we have counts for
38 papers
The structure of almost symmetric almost complete intersection numerical semigroups
Kazufumi Eto, Naoyuki Matsuoka, Alessio Moscariello +3
We prove a structure theorem for numerical semigroups H that are almost symmetric and almost complete intersections. Specifically, we show that a row-factorization (RF) matrix of H…
On Segre products, -regularity, and finite Frobenius representation type
Anurag K. Singh, Kei-ichi Watanabe
We study the behavior of various properties of commutative Noetherian rings under Segre products, with a special focus on properties in positive prime characteristic defined using…
Gorensteinness for normal tangent cones of elliptic ideals
Tomohiro Okuma, Kei-ichi Watanabe, Ken-ichi Yoshida
Let be a two-dimensional excellent normal Gorenstein local domain. In this paper, we characterize elliptic ideals for its normal tangent cone to…
Inverse polynomials of numerical semigroup rings
Kazufumi Eto, Kei-ichi Watanabe
Let H = <n_1,...,n_e> be a numerical semigroup generated by e elements. Let k[H]= k[x_1, .... , x_e]/I_H = S/I_H be the semigroup ring of H over k. We define inverse polynomial J_{…
Normal Hilbert coefficients and elliptic ideals in normal two-dimensional singularities
Tomohiro Okuma, Maria Evelina Rossi, Kei-ichi Watanabe +1
Let be an excellent two-dimensional normal local domain. In this paper we study the elliptic and the strongly elliptic ideals of with the aim to characterize…
Hilbert-Kunz density function for graded domains
Vijaylaxmi Trivedi, Kei-Ichi Watanabe
We prove the existence of HK density function for a pair , where is a -graded domain of finite type over a perfect field and is a graded ideal…