Lexsegment ideals with linear resolution
Let \(u\) and \(v\) be two monomials of degree \(d\) in the polynomial ring \(K[x_1, \dots, x_n]\) such that \(u\geq v\) with respect to the lexicographical order. The set of monomials \(w\) such that \(u\geq w\geq v\) is called a lexsegment. An ideal generated by a lexsegment is called a lexsegment ideal. The lexsegment ideals with linear resolutions are characterized, and for arbitrary lexsegment ideals the linear part of the resolution is determined.
scientific article; zbMATH DE number 1193078
scientific article