Toric ideals of simple surface singularities

Gülay Kaya; Pınar Mete; Mesut Şahin

Research Article

Toric ideals of simple surface singularities

Year 2015, Volume: 44 Issue: 5, 1057 - 1069, 01.10.2015

Abstract

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.

Keywords

toric ideals, simple surface singularities, semigroup of Lipman

References

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Year 2015, Volume: 44 Issue: 5, 1057 - 1069, 01.10.2015

Gülay Kaya Pınar Mete , Mesut Şahin

Abstract

References

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There are 1 citations in total.

Details

Primary Language	English
Subjects	Mathematical Sciences
Journal Section	Mathematics
Authors	Gülay Kaya This is me Pınar Mete Mesut Şahin This is me
Publication Date	October 1, 2015
Published in Issue	Year 2015 Volume: 44 Issue: 5

Cite

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. October 2015;44(5):1057-1069.
Chicago	Kaya, Gülay, Pınar Mete, and Mesut Şahin. “Toric Ideals of Simple Surface Singularities”. Hacettepe Journal of Mathematics and Statistics 44, no. 5 (October 2015): 1057-69.
EndNote	Kaya G, Mete P, Şahin M (October 1, 2015) Toric ideals of simple surface singularities. Hacettepe Journal of Mathematics and Statistics 44 5 1057–1069.
IEEE	G. Kaya, P. Mete, and M. Şahin, “Toric ideals of simple surface singularities”, Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 5, pp. 1057–1069, 2015.
ISNAD	Kaya, Gülay et al. “Toric Ideals of Simple Surface Singularities”. Hacettepe Journal of Mathematics and Statistics 44/5 (October 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 et al. “Toric Ideals of Simple Surface Singularities”. Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 5, 2015, pp. 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.