Kazuho Ozeki

most citedSectional genera of parameter ideals

2 citations · 4 across the 5 of their papers we have counts for

collaborators

5 papers

math.AC2021

The first Hilbert coefficient of stretched ideals

Kazuho Ozeki

In this paper we explore the almost Cohen-Macaulayness of the associated graded ring of stretched $m$ -primary ideals with small first Hilbert coefficient in a Cohen-Maca…

math.AC2014

The second Hilbert coefficients and the homological torsions of parameters

Shiro Goto, Kazuho Ozeki

Let $M$ be a finitely generated module over a Noetherian local ring. This paper gives, for a given parameter ideal $Q$ for $M$ , bounds for the second Hilbert coefficients ${\mathrm…

math.AC2014

The second Hilbert coefficients and the sectional genera of ideals

Kazuho Ozeki

This paper gives an upper bound of the second Hilbert coefficients $e_{2} (I)$ of $m$ -primary ideals $I$ in a Cohen-Macaulay local ring $(A, m)$ in t…

math.AC2014★ 2 cited

Sectional genera of parameter ideals

Shiro Goto, Kazuho Ozeki

Let $M$ be a finitely generated module over a Noetherian local ring. This paper reports, for a given parameter ideal $Q$ for $M$ , a criterion for the equality ${\mathrm{g}}_s(Q;M)=…

math.AC2014★ 2 cited

The first Euler characteristics versus the homological degrees

Shiro Goto, Kazuho Ozeki

Let $M$ be a finitely generated module over a Noetherian local ring. This paper reports, for a given parameter ideal $Q$ for $M$ , a criterion for the equality $χ_1(Q;M)=\operatorna…