Hara Charalambous

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Let A = {a1, . . . , am} ⊂ Z be a vector configuration and IA ⊂ K[x1, . . . , xm] its corresponding toric ideal. We completely determine the number of different minimal systems of binomial generators of IA. We also prove that generic toric ideals are generated by indispensable binomials. We associate to A a simplicial complex ∆ind(A). We show that the(More)
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(More)
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