Turkish Journal of Mathematics
DOI
10.3906/mat-1805-99
Abstract
In this paper we give necessary and sufficient conditions for the Cohen-Macaulayness of the tangent cone of a monomial curve in 4-dimensional affine space. We particularly study the case where $C$ is a Gorenstein noncomplete intersection monomial curve and we generalize some results in the literature. Moreover, by using these results, we construct families supporting Rossi's conjecture, which is still open for monomial curves in 4-dimensional affine space.
Keywords
Cohen-Macaulay, tangent cone, monomial curve
First Page
1425
Last Page
1446
Recommended Citation
ARSLAN, SEFA FEZA; KATSAMPEKIS, ANARGYROS; and NALBANDİYAN, MELİSSA
(2019)
"On the Cohen-Macaulayness of tangent cones of monomial curves in $\mathbb{A}^{4}(K)$,"
Turkish Journal of Mathematics: Vol. 43:
No.
3, Article 27.
https://doi.org/10.3906/mat-1805-99
Available at:
https://journals.tubitak.gov.tr/math/vol43/iss3/27
