Toric ideals of simple surface singularities


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Kaya G., METE P., Sahin M.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.44, ss.1057-1069, 2015 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 44 Konu: 5
  • Basım Tarihi: 2015
  • Doi Numarası: 10.15672/hjms.2015449094
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Sayfa Sayıları: ss.1057-1069

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.