On the Cohen-Macaulayness of tangent cones of monomial curves in A4(K)A4(K)\mathbb{A}^{4}(K)

Sefa Feza ARSLAN; Anargyros KATSAMPEKIS; Melissa NALBANDİYAN

Makale detayları

On the Cohen-Macaulayness of tangent cones of monomial curves in A4(K)A4(K)\mathbb{A}^{4}(K)

Yazarlar:

Sefa Feza ARSLAN | Anargyros KATSAMPEKIS | Melissa NALBANDİYAN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2019 Vol.43 Issue 3, pp.1425-1446

Belge Tipi:

Makale

Yayın Tarihi:

5/2019

Belge Dili:

Türkçe

Document ID (Org No.):

2000745607

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

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 CCC 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.

Makale detayları

On the Cohen-Macaulayness of tangent cones of monomial curves in A4(K)A4(K)\mathbb{A}^{4}(K)

Yazarlar: Sefa Feza ARSLAN | Anargyros KATSAMPEKIS | Melissa NALBANDİYAN

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2019 Vol.43 Issue 3, pp.1425-1446

Belge Tipi: Makale

Yayın Tarihi: 5/2019

Belge Dili: Türkçe

Document ID (Org No.): 2000745607

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Sefa Feza ARSLAN | Anargyros KATSAMPEKIS | Melissa NALBANDİYAN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2019 Vol.43 Issue 3, pp.1425-1446

Belge Tipi:

Makale

Yayın Tarihi:

5/2019

Belge Dili:

Türkçe

Document ID (Org No.):

2000745607

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098