Toric ideals of simple surface singularities

Gülay Kaya; Pınar Mete; Mesut Şahin

Araştırma Makalesi

Toric ideals of simple surface singularities

Yıl 2015, Cilt: 44 Sayı: 5, 1057 - 1069, 01.10.2015

Öz

In this paper, we study a class of toric ideals obtained by using some geometric data of ADE trees which are the minimal resolution graphs of rational surface singularities. We compute explicit Gröbner bases for these toric ideals that are also minimal generating sets consisting of large number of binomials of degree ≤ 4. In particular, they give rise to squarefree initial ideals as well.

Anahtar Kelimeler

toric ideals, simple surface singularities, semigroup of Lipman

Kaynakça

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Yıl 2015, Cilt: 44 Sayı: 5, 1057 - 1069, 01.10.2015

Gülay Kaya Pınar Mete , Mesut Şahin

Öz

Kaynakça

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Toplam 1 adet kaynakça vardır.

Ayrıntılar

Birincil Dil	İngilizce
Konular	Matematik
Bölüm	Matematik
Yazarlar	Gülay Kaya Bu kişi benim Pınar Mete Mesut Şahin Bu kişi benim
Yayımlanma Tarihi	1 Ekim 2015
Yayımlandığı Sayı	Yıl 2015 Cilt: 44 Sayı: 5

Kaynak Göster

APA	Kaya, G., Mete, P., & Şahin, M. (2015). Toric ideals of simple surface singularities. Hacettepe Journal of Mathematics and Statistics, 44(5), 1057-1069.
AMA	Kaya G, Mete P, Şahin M. Toric ideals of simple surface singularities. Hacettepe Journal of Mathematics and Statistics. Ekim 2015;44(5):1057-1069.
Chicago	Kaya, Gülay, Pınar Mete, ve Mesut Şahin. “Toric Ideals of Simple Surface Singularities”. Hacettepe Journal of Mathematics and Statistics 44, sy. 5 (Ekim 2015): 1057-69.
EndNote	Kaya G, Mete P, Şahin M (01 Ekim 2015) Toric ideals of simple surface singularities. Hacettepe Journal of Mathematics and Statistics 44 5 1057–1069.
IEEE	G. Kaya, P. Mete, ve M. Şahin, “Toric ideals of simple surface singularities”, Hacettepe Journal of Mathematics and Statistics, c. 44, sy. 5, ss. 1057–1069, 2015.
ISNAD	Kaya, Gülay vd. “Toric Ideals of Simple Surface Singularities”. Hacettepe Journal of Mathematics and Statistics 44/5 (Ekim 2015), 1057-1069.
JAMA	Kaya G, Mete P, Şahin M. Toric ideals of simple surface singularities. Hacettepe Journal of Mathematics and Statistics. 2015;44:1057–1069.
MLA	Kaya, Gülay vd. “Toric Ideals of Simple Surface Singularities”. Hacettepe Journal of Mathematics and Statistics, c. 44, sy. 5, 2015, ss. 1057-69.
Vancouver	Kaya G, Mete P, Şahin M. Toric ideals of simple surface singularities. Hacettepe Journal of Mathematics and Statistics. 2015;44(5):1057-69.