activity
20062025
most citedA Note on the Buchsbaum-Rim function of a parameter module

2 citations · 2 across the 12 of their papers we have counts for

collaborators

12 papers

math.AC2025

Note on length and multiplicity of modules over two-dimensional regular local rings

Futoshi Hayasaka, Vijay Kodiyalam

We give lower and upper bounds on the Buchsbaum-Rim multiplicity of finitely generated torsion-free modules over two-dimensional regular local rings, and conditions for them to att…

math.AC2023

Indecomposable integrally closed modules of rank 3 over two-dimensional regular local rings

Futoshi Hayasaka, Vijay Kodiyalam

We characterise ideals in two-dimensional regular local rings that arise as ideals of maximal minors of indecomposable integrally closed modules of rank three.

math.AC2023

Note on indecomposable integrally closed modules of rank 2 over two-dimensional regular local rings

Futoshi Hayasaka, Vijay Kodiyalam

We characterise ideals in two-dimensional regular local rings that arise as ideals of maximal minors of indecomposable integrally closed modules of rank two.

math.AC2021

Indecomposable integrally closed modules of arbitrary rank over a two-dimensional regular local ring

Futoshi Hayasaka

In this paper, we construct indecomposable integrally closed modules of arbitrary rank over a two-dimensional regular local ring. The modules are quite explicitly constructed from…

math.AC2018

Constructing indecomposable integrally closed modules over a two-dimensional regular local ring

Futoshi Hayasaka

In this article, we construct integrally closed modules of rank two over a two-dimensional regular local ring. The modules are explicitly constructed from a given complete monomial…

math.AC2018

Asymptotic vanishing of homogeneous components of multigraded modules and its applications

Futoshi Hayasaka

In this article, we give a condition on the vanishing of finitely many homogeneous components which must imply the asymptotic vanishing for multigraded modules. We apply our result…