Toric ideals of simple surface singularities

Gülay Kaya; Pınar Mete; Mesut Şahin

EN

Toric ideals of simple surface singularities

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

.. .

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Gülay Kaya This is me

Pınar Mete

Mesut Şahin This is me

Publication Date

October 1, 2015

Submission Date

December 13, 2011

Acceptance Date

January 6, 2014

Published in Issue

Year 2015 Volume: 44 Number: 5

IZ

https://izlik.org/JA55XB99MW

Cite

RIS / Bibtex

APA

Kaya, G., Mete, P., & Şahin, M. (2015). Toric ideals of simple surface singularities. Hacettepe Journal of Mathematics and Statistics, 44(5), 1057-1069. https://izlik.org/JA55XB99MW

AMA

1.Kaya G, Mete P, Şahin M. Toric ideals of simple surface singularities. Hacettepe Journal of Mathematics and Statistics. 2015;44(5):1057-1069. https://izlik.org/JA55XB99MW

Chicago

Kaya, Gülay, Pınar Mete, and Mesut Şahin. 2015. “Toric Ideals of Simple Surface Singularities”. Hacettepe Journal of Mathematics and Statistics 44 (5): 1057-69. https://izlik.org/JA55XB99MW.

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

[1]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, Oct. 2015, [Online]. Available: https://izlik.org/JA55XB99MW

ISNAD

Kaya, Gülay - Mete, Pınar - Şahin, Mesut. “Toric Ideals of Simple Surface Singularities”. Hacettepe Journal of Mathematics and Statistics 44/5 (October 1, 2015): 1057-1069. https://izlik.org/JA55XB99MW.

JAMA

1.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, Oct. 2015, pp. 1057-69, https://izlik.org/JA55XB99MW.

Vancouver

1.Gülay Kaya, Pınar Mete, Mesut Şahin. Toric ideals of simple surface singularities. Hacettepe Journal of Mathematics and Statistics [Internet]. 2015 Oct. 1;44(5):1057-69. Available from: https://izlik.org/JA55XB99MW