Defining ideals of Cohen–Macaulay fiber cones
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.
Authors
- Reza Abdolmaleki (ORCID: https://orcid.org/0000-0002-5608-3971)
- Shinya Kumashiro (ORCID: https://orcid.org/0000-0001-7577-7971)
Institutions
- Lahore University of Management Sciences (PK)
- Osaka Institute of Technology (JP)
Publication Details
- Journal
- International Journal of Algebra and Computation
- Published
- 2024-08-23
- DOI
- https://doi.org/10.1142/s0218196724500437
- Primary Topic
- Commutative Algebra and Its Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00