Ken-ichi Yoshida

most citedMinimal Hilbert-Kunz multiplicity

3 citations · 5 across the 5 of their papers we have counts for

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math.AC2005

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.

math.AC2003

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 $c$ , $d$ , $q$ with $c \geq 1$ , $2 \le q \…

math.AC2003★ 1 cited

Hilbert-Kunz multiplicity of three-dimensional local rings

Kei-ichi Watanabe, Ken-ichi Yoshida

In this paper, we investigate a lower bound (say $s_{H K} (p, d)$ ) on Hilbert-Kunz multiplicities for non-regular unmixed local rings of Krull dimension $d$ with characteristic $p > 0$ .…

math.AC2003★ 3 cited

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 $e_{H K} (I) - e_{H K} (I^{'})$ for ideals $I^{'} \supseteq I$ with $l_{A} (I^{'} / I) = 1$ ? In order to answ…

math.AC2003★ 1 cited

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…