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A study of a family of monomial ideals.
- Source :
- Journal of Algebra & Its Applications; Mar2023, Vol. 22 Issue 3, p1-23, 23p
- Publication Year :
- 2023
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02194988
- Volume :
- 22
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Journal of Algebra & Its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 161967027
- Full Text :
- https://doi.org/10.1142/S0219498823500688