Mesut ŞAHİN, Pınar METE, Gülay KAYA

107114

Toric ideals of simple surface singularities

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,

___

.. .

Hacettepe Journal of Mathematics and Statistics-Cover

Yayın Aralığı: 6
Başlangıç: 2002
Yayıncı: Hacettepe Üniversitesi Fen Fakultesi

Arşiv

Sayıdaki Diğer Makaleler

A.A. ALIJANI, H.SAHLEH

Cenap OZEL, Ahcene MERAD, Abdelfatah BOUZIANI

O. R. SAYED, A. M. KHALIL

An optimization model for designing acceptancesampling plan based on cumulative count ofconforming run length using minimum anglemethod

Ahmad Ahmadi YAZDI, Mohammad Saber Fallah NEZHAD

Housila P. SINGH, Tanveer A. TARRAY, Ragen GOLI

Mesut ŞAHİN, Pınar METE, Gülay KAYA

Simplicial homology groups of certain digitalsurfaces

Emel DEMİR ÜNVER, İsmet KARACA

Some properties of soft -topology

O R SAYED, A M KHALIL

Likelihood and Bayesian estimations for step-stresslife test model under Type-I censoring