Minimal Systems of Binomial Generators and the Indispensable Complex of a Toric Ideal

@inproceedings{Katsabekis2006MinimalSO,
  title={Minimal Systems of Binomial Generators and the Indispensable Complex of a Toric Ideal},
  author={Anargyros Katsabekis and Apostolos Thoma},
  year={2006}
}
Let A = {a1, . . . , am} ⊂ Zn be a vector configuration and IA ⊂ K[x1, . . . , xm] its corresponding toric ideal. The paper consists of two parts. In the first part we completely determine the number of different minimal systems of binomial generators of IA. In the second part we associate to A a simplicial complex ∆ind(A). We show that the vertices of ∆ind(A) correspond to the indispensable monomials of the toric ideal IA, while one dimensional facets of ∆ind(A) with minimal binomial A-degree… CONTINUE READING

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