On generic principal ideals in the exterior algebra
Commutative Algebra
2019-05-08 v1
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-Soc\'ias and Snellman. We also show that the lower bound is equal to the minimal Hilbert series in some specific cases.
Cite
@article{arxiv.1803.03563,
title = {On generic principal ideals in the exterior algebra},
author = {Samuel Lundqvist and Lisa Nicklasson},
journal= {arXiv preprint arXiv:1803.03563},
year = {2019}
}
Comments
20 pages, 2 figures