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- Title
A study of a family of monomial ideals.
- Authors
Hoffman, J. William; Wang, Haohao
- Abstract
In this paper, we study a family of rational monomial parametrizations. We investigate a few structural properties related to the corresponding monomial ideal J generated by the parametrization. We first find the implicit equation of the closure of the image of the parametrization. Then we provide a minimal graded free resolution of the monomial ideal J, and describe the minimal graded free resolution of the symmetric algebra of J. Finally, we provide a method to compute the defining equations of the Rees algebra of J using three moving planes that follow the parametrization.
- Subjects
ALGEBRA; EQUATIONS
- Publication
Journal of Algebra & Its Applications, 2023, Vol 22, Issue 3, p1
- ISSN
0219-4988
- Publication type
Article
- DOI
10.1142/S0219498823500688