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math.AC2019
Subalgebras generated in degree two with minimal Hilbert function
Lisa Nicklasson
What can be said about the subalgebras of the polynomial ring, with minimal or maximal Hilbert function? This question was discussed in a recent paper by M. Boij and A. Conca. In t…
math.AC2018
On generic principal ideals in the exterior algebra
Samuel Lundqvist, Lisa Nicklasson
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 an…