[PDF][PDF] On the depth of the fiber cone of filtrations

T Cortadellas, S Zarzuela - Journal of Algebra, 1997 - core.ac.uk
On the Depth of the Fiber Cone of Filtrations Page 1 Ž . JOURNAL OF ALGEBRA 198, 428445
1997 ARTICLE NO. JA977147 On the Depth of the Fiber Cone of Filtrations Teresa Cortadellas …

Integral closure, basically full closure, and duals of nonresidual closure operations

N Epstein, RG Rebecca, J Vassilev - Journal of Pure and Applied Algebra, 2023 - Elsevier
We develop a duality for operations on nested pairs of modules that generalizes the duality
between absolute interior operations and residual closure operations from [5], extending our …

Cohen-Macaulayness of special fiber rings

A Corso, L Ghezzi, C Polini, B Ulrich - Communications in Algebra, 2003 - Taylor & Francis
Let (R, 𝔪) be a Noetherian local ring and let I be an R-ideal. Inspired by the work of Hübl and
Huneke, we look for conditions that guarantee the Cohen-Macaulayness of the special fiber …

Derived functors and Hilbert polynomials

E Theodorescu - Mathematical Proceedings of the Cambridge …, 2002 - cambridge.org
Let R be a commutative Noetherian ring, I an ideal, M and N finitely generated R-modules.
Assume V (I)[xcap] Supp (M)[xcap] Supp (N) consists of finitely many maximal ideals and let …

[PDF][PDF] Fiber cones and the integral closure of ideals

CC Huneke - Collectanea Mathematica, 2001 - raco.cat
Let ($ R, m $) be a Noetherian local ring and let $ I\subseteq R $ be an ideal. This paper
studies the question of when m $ I $ is integrally closed. Particular attention is focused on …

On the Cohen-Macaulayness of fiber cones

D Việt - Proceedings of the American Mathematical Society, 2008 - ams.org
Let $ A $ be a Noetherian local ring with the maximal ideal ${\mathfrak {m}} $ and $ I $ an
ideal of $ A. $ Denote by $ F_ {A}(I)=\underset {{n\ge 0}}{\bigoplus}(I^{n}/{\mathfrak {m}} I^{n}) …

Hilbert series of fiber cones of ideals with almost minimal mixed multiplicity

C D'Cruz, JK Verma - Journal of Algebra, 2002 - Elsevier
Let (R, m) be a Cohen–Macaulay local ring and let I be an m-primary ideal. We introduce
ideals of almost minimal mixed multiplicity which are analogues of ideals studied by J. Sally …

On the structure of the fiber cone of ideals with analytic spread one

TC Benítez, SZ Armengou - Journal of algebra, 2007 - Elsevier
For a given a local ring (A, m), we study the fiber cone of ideals in A with analytic spread
one. In this case, the fiber cone has a structure as a module over its Noether normalization …

Multiplicity and Cohen-Macaulayness of fiber cones of good filtrations

DQ Viet, TTH Thanh - Kyushu Journal of Mathematics, 2011 - jstage.jst.go.jp
Let A be a Noetherian local ring with the maximal ideal m and an m-primary ideal J. Let
F={In} n≥ 0 be a good filtration of ideals in A. Denote by FJ (F)=⊕ n≥ 0 (In/JIn) tn the fiber …

Defining ideals of Cohen-Macaulay fiber cones

R Abdolmaleki, S Kumashiro - arXiv preprint arXiv:2405.18041, 2024 - arxiv.org
Let $ A $ be a commutative Noetherian local ring with maximal ideal $\mathfrak {m} $, and
let $ I $ be an ideal. The fiber cone is then an image of the polynomial ring over the residue …