3 citations · 5 across the 6 of their papers we have counts for
6 papers
Stanley--Reisner rings with large multiplicities are Cohen--Macaulay
Naoki Terai, Ken-ichi Yoshida
We prove that certain class of Stanley--Reisner rings having sufficiently large multiplicities are Cohen--Macaulay using Alexander duality.
Buchsbaum Stanley--Reisner rings with minimal multiplicity
Naoki Terai, Ken-ichi Yoshida
In this paper, we study non-Cohen--Macaulay Buchsbaum Stanley--Reisner rings with linear free resolution. In particular, for given integers , , with , $2 \le q \…
Hilbert-Kunz multiplicity of three-dimensional local rings
Kei-ichi Watanabe, Ken-ichi Yoshida
In this paper, we investigate a lower bound (say ) on Hilbert-Kunz multiplicities for non-regular unmixed local rings of Krull dimension with characteristic .…
Minimal Hilbert-Kunz multiplicity
Kei-ichi Watanabe, Ken-ichi Yoshida
In this paper, we ask the following question: what is the minimal value of the difference for ideals with ? In order to answ…
Notes on Hilbert-Kunz multiplicity of Rees algebras
Kazufumi Eto, Ken-ichi Yoshida
In this paper, we estimate the Hilbert-Kunz multiplicity of the (extended) Rees algebras in terms of some invariants of the base ring. Also, we give an explicit formula for the Hil…
A generalization of tight closure and multiplier ideals
Nobuo Hara, Ken-ichi Yoshida
We introduce a new variant of tight closure associated to any fixed ideal $\a$, which we call $\a$-tight closure, and study various properties thereof. In our theory, the annihilat…