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Depth Sensitivity of Hilbert Coefficients
Koji Nishida
The purpose of this paper is to explain about the depth sensitivity of the Hilbert coefficients defined for finitely generated graded modules over graded rings. The main result gen…
Finitely generated symbolic Rees rings of ideals defining certain finite sets of points in P^2
Keisuke Kai, Koji Nishida
The purpose of this paper is to prove that the symbolic Rees rings of ideals defining certain finite sets of points in the projective plane over an algebraically closed field are f…
Infinitely generated symbolic Rees rings of space monomial curves having negative curves
Kazuhiko Kurano, Koji Nishida
In this paper, we shall study finite generation of symbolic Rees rings of the defining ideal of the space monomial curve for pairwise coprime integers…
Saturations of powers of certain determinantal ideals
Kosuke Fukumuro, Taro Inagawa, Koji Nishida
Let be a Noetherian local ring and a positive integer. Let be the ideal of generated by the maximal minors of an matrix with entries in .…
On a transform of an acyclic complex of length 3
Kosuke Fukumuro, Taro Inagawa, Koji Nishida
Let (R, m) be a Cohen-Macaulay local ring and Q a parameter ideal of R. Suppose that an acyclic complex of length 3 which is an R-free resolution of an ideal I of R is given. In th…
Computing j-multiplicity
Koji Nishida, Bernd Ulrich
The j-multiplicity is an invariant that can be defined for any ideal in a Noetherian local ring . It is equal to the Hilbert-Samuel multiplicity if the ideal is -primary…