On Cohen-macaulayness of Algebras Generated by Generalized Power Sums


We call the functions Qi generalized power sums. Let A be the algebra generated by Qi, i ≥ 1 inside C[x1, ..., xN ]. For generic aij , this algebra is finitely generated. The main question studied in this paper is when the algebra A is Cohen-Macaulay (shortly, CM). Specifically, following [BCES], for various collections of positive integers (r1, ..., rk… (More)