On generic principal ideals in the exterior algebra
arXiv:1803.03563
Abstract
We give a lower bound on the Hilbert series of the exterior algebra modulo a principal ideal generated by a generic form of odd degree and disprove a conjecture by Moreno-Socías and Snellman. We also show that the lower bound is equal to the minimal Hilbert series in some specific cases.
20 pages, 2 figures