Binomial extensions of Simplicial ideals and reduction number

Minh Lam Ha (1) , Marcel Morales (1)

1 IF - Institut Fourier

In this article, we define a class of binomial ideals associated to a simplicial complex. This class of ideals appears in the presentation of fiber cones of codimension 2 lattice ideals \cite{hm}, and in the work of Barile and Morales \cite{bm2}, \cite{bm3}, \cite{bm4}. We compute the reduction number of Binomial extensions of Simplicial ideals. This extends all the previous results in this area.

Mots clés: reduction number; toric ideal; simplicial complex

Domaines: Algèbre commutative [math.AC]; Géométrie algébrique [math.AG]

Minh Lam Ha, Marcel Morales. Binomial extensions of Simplicial ideals and reduction number. 2009. ⟨hal-00436556⟩