Nagata idealizations and doublings
We prove that any Nagata algebra (respectively, any Perazzo algebra) A F with term-wise minimal Hilbert function is the doubling of a 0-dimensional scheme. As an application we are able to compute the minimal free graded resolution of any Nagata algebra (respectively, any Perazzo algebra) A F with term-wise minimal Hilbert function.
Authors
- Rosa M. Miró‐Roig (ORCID: https://orcid.org/0000-0003-1375-6547)
Institutions
- Universitat de Barcelona (ES)
Publication Details
- Journal
- Journal of Algebra
- Published
- 2025-03-30
- DOI
- https://doi.org/10.1016/j.jalgebra.2025.03.022
- Citations
- 1
- Primary Topic
- Advanced Differential Equations and Dynamical Systems
- Type
- article
- Field-Weighted Citation Impact
- 4.09