43 citations · 62 across the 18 of their papers we have counts for
4 papers · 1 filter
The second Hilbert coefficients and the homological torsions of parameters
Shiro Goto, Kazuho Ozeki
Let be a finitely generated module over a Noetherian local ring. This paper gives, for a given parameter ideal for , bounds for the second Hilbert coefficients ${\mathrm…
The second Hilbert coefficients and the sectional genera of ideals
Kazuho Ozeki
This paper gives an upper bound of the second Hilbert coefficients of -primary ideals in a Cohen-Macaulay local ring in t…
Sectional genera of parameter ideals
Shiro Goto, Kazuho Ozeki
Let be a finitely generated module over a Noetherian local ring. This paper reports, for a given parameter ideal for , a criterion for the equality ${\mathrm{g}}_s(Q;M)=…
The first Euler characteristics versus the homological degrees
Shiro Goto, Kazuho Ozeki
Let be a finitely generated module over a Noetherian local ring. This paper reports, for a given parameter ideal for , a criterion for the equality $χ_1(Q;M)=\operatorna…