Structural results of the gluing of schemes
The main focus of this paper is to study the structure of the gluing of schemes, determining when it is Noetherian, Gorenstein, Cohen–Macaulay, and regular. Additionally, we provide a formula for the multiplicity of the gluing of schemes, and we obtain some applications in the category of [Formula: see text]-schemes.
Authors
- T. H. Freitas (ORCID: https://orcid.org/0000-0001-7776-420X)
- V. H. Jorge Pérez (ORCID: https://orcid.org/0000-0003-3787-9488)
Institutions
- Universidade Tecnológica Federal do Paraná (BR)
- Brazilian Society of Computational and Applied Mathematics (BR)
Publication Details
- Journal
- International Journal of Mathematics
- Published
- 2025-10-31
- DOI
- https://doi.org/10.1142/s0129167x26500011
- Primary Topic
- Commutative Algebra and Its Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00