Work

Defining ideals of Cohen–Macaulay fiber cones

Year: 2024

Type: article

Abstract: Let A be a commutative Noetherian local ring with maximal ideal [Formula: see text], and let I be an ideal. The fiber cone is then an image of the polynomial ring over the residue field [Formula: see text]. The kernel of this map is called the defining ideal, and it is natural to ask how to compute it. In this paper, we provide a construction for the defining ideals of Cohen–Macaulay fiber cones.

Source: International Journal of Algebra and Computation

DOI: 10.1142/s0218196724500437

Authors: Reza Abdolmaleki, Shinya Kumashiro

Institutions: Lahore University of Management Sciences, Osaka Institute of Technology

Language: English

Topic: Commutative Algebra and Its Applications

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Japan Society for the Promotion of Science

Award: トレースイデアルの研究：遍在性と正準加群のトレース