The fiber cone of a monomial ideal in two variables (Q2422703)

Let \(S=K[x_1,\dots,x_n]\) be the polynomial ring and \(I\subset S\) be a graded ideal. Let \(\mu(I^k)=\dim_K F (I)_k\), where \(F (I)_k\) is the kth graded component of the fiber cone \(F(I)\) of \(I\) . In this paper under review the authors by using Gröbner bases determine in an explicit way the depth of the fiber cone and its relation ideal for classes of monomial ideals in two variables. These classes include concave and convex ideals as well as symmetric ideals.