On the Cohen–Macaulayness of tangent cones of monomial curves in $A^4(K)$

NALBANDIYAN, Melissa; ARSLAN, Feza; Katsabekis, Anargyros

On the Cohen–Macaulayness of tangent cones of monomial curves in $A^4(K)$

Feza ARSLAN, (Mimar Sinan Güzel Sanatlar Üniversitesi)

Anargyros KATSABEKIS, (İhsan Doğramacı Bilkent Üniversitesi)

Melissa NALBANDIYAN (Mimar Sinan Güzel Sanatlar Üniversitesi)

Turkish Journal of Mathematics

2 0

Yıl: 2019 Cilt: 43 Sayı: 3 Sayfa Aralığı: 1425 - 1446 Metin Dili: İngilizce İndeks Tarihi: 15-05-2020

On the Cohen–Macaulayness of tangent cones of monomial curves in $A^4(K)$

Öz:

In this paper we give necessary and sufficient conditions for the Cohen–Macaulayness of the tangent cone ofa monomial curve in 4-dimensional affine space. We particularly study the case where C is a Gorenstein noncompleteintersection monomial curve and we generalize some results in the literature. Moreover, by using these results, weconstruct families supporting Rossi’s conjecture, which is still open for monomial curves in 4-dimensional affine space.

Anahtar Kelime:

Konular: Matematik

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	ARSLAN F, Katsabekis A, NALBANDIYAN M (2019). On the Cohen–Macaulayness of tangent cones of monomial curves in $A^4(K)$. , 1425 - 1446.
Chicago	ARSLAN Feza,Katsabekis Anargyros,NALBANDIYAN Melissa On the Cohen–Macaulayness of tangent cones of monomial curves in $A^4(K)$. (2019): 1425 - 1446.
MLA	ARSLAN Feza,Katsabekis Anargyros,NALBANDIYAN Melissa On the Cohen–Macaulayness of tangent cones of monomial curves in $A^4(K)$. , 2019, ss.1425 - 1446.
AMA	ARSLAN F,Katsabekis A,NALBANDIYAN M On the Cohen–Macaulayness of tangent cones of monomial curves in $A^4(K)$. . 2019; 1425 - 1446.
Vancouver	ARSLAN F,Katsabekis A,NALBANDIYAN M On the Cohen–Macaulayness of tangent cones of monomial curves in $A^4(K)$. . 2019; 1425 - 1446.
IEEE	ARSLAN F,Katsabekis A,NALBANDIYAN M "On the Cohen–Macaulayness of tangent cones of monomial curves in $A^4(K)$." , ss.1425 - 1446, 2019.
ISNAD	ARSLAN, Feza vd. "On the Cohen–Macaulayness of tangent cones of monomial curves in $A^4(K)$". (2019), 1425-1446.

APA	ARSLAN F, Katsabekis A, NALBANDIYAN M (2019). On the Cohen–Macaulayness of tangent cones of monomial curves in $A^4(K)$. Turkish Journal of Mathematics, 43(3), 1425 - 1446.
Chicago	ARSLAN Feza,Katsabekis Anargyros,NALBANDIYAN Melissa On the Cohen–Macaulayness of tangent cones of monomial curves in $A^4(K)$. Turkish Journal of Mathematics 43, no.3 (2019): 1425 - 1446.
MLA	ARSLAN Feza,Katsabekis Anargyros,NALBANDIYAN Melissa On the Cohen–Macaulayness of tangent cones of monomial curves in $A^4(K)$. Turkish Journal of Mathematics, vol.43, no.3, 2019, ss.1425 - 1446.
AMA	ARSLAN F,Katsabekis A,NALBANDIYAN M On the Cohen–Macaulayness of tangent cones of monomial curves in $A^4(K)$. Turkish Journal of Mathematics. 2019; 43(3): 1425 - 1446.
Vancouver	ARSLAN F,Katsabekis A,NALBANDIYAN M On the Cohen–Macaulayness of tangent cones of monomial curves in $A^4(K)$. Turkish Journal of Mathematics. 2019; 43(3): 1425 - 1446.
IEEE	ARSLAN F,Katsabekis A,NALBANDIYAN M "On the Cohen–Macaulayness of tangent cones of monomial curves in $A^4(K)$." Turkish Journal of Mathematics, 43, ss.1425 - 1446, 2019.
ISNAD	ARSLAN, Feza vd. "On the Cohen–Macaulayness of tangent cones of monomial curves in $A^4(K)$". Turkish Journal of Mathematics 43/3 (2019), 1425-1446.