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On generic principal ideals in the exterior algebra
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On generic principal ideals in the exterior algebra
classification
math.AC
keywords
algebraboundexteriorgenerichilbertlowerprincipalseries
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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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