On generic principal ideals in the exterior algebra

Published 9 Mar 2018 in math.AC | (1803.03563v1)

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.

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