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- Title
A note on Gorenstein monomial curves.
- Authors
Gimenez, Philippe; Srinivasan, Hema
- Abstract
Let k be an arbitrary field. In this note, we show that if a sequence of relatively prime positive integers a = ( a, a, a, a) defines a Gorenstein non complete intersection monomial curve $$\mathcal{C}(a)$$ in $$\mathbb{A}_k^4$$, then there exist two vectors u and v such that $$\mathcal{C}(a + tu)$$ and $$\mathcal{C}(a + tv)$$ are also Gorenstein non complete intersection affine monomial curves for almost all t ≥ 0.
- Subjects
GORENSTEIN rings; MATHEMATICAL sequences; INTEGERS; INTERSECTION graph theory; NUMERICAL analysis
- Publication
Bulletin of the Brazilian Mathematical Society, 2014, Vol 45, Issue 4, p671
- ISSN
1678-7544
- Publication type
Article
- DOI
10.1007/s00574-014-0068-4