Toric ideals of simple surface singularities

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Kaya G., Mete P., Sahin M.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.44, sa.5, ss.1057-1069, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 5
  • Basım Tarihi: 2015
  • Doi Numarası: 10.15672/hjms.2015449094
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1057-1069
  • Hacettepe Üniversitesi Adresli: Evet

Özet

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.