Toric ideals of simple surface singularities
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.44, no.5, pp.1057-1069, 2015 (SCI-Expanded, Scopus, TRDizin)
- Publication Type: Article / Article
- Volume: 44 Issue: 5
- Publication Date: 2015
- Doi Number: 10.15672/hjms.2015449094
- Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
- Page Numbers: pp.1057-1069
- Open Archive Collection: AVESIS Open Access Collection
- Galatasaray University Affiliated: Yes
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 Grobner 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.