On generic principal ideals in the exterior algebra. (English) Zbl 1423.13093
Authors’ 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.
Reviewer: Hero Saremi (Sanandaj)
MSC:
| 13D40 | Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series |
| 15A75 | Exterior algebra, Grassmann algebras |
| 13D02 | Syzygies, resolutions, complexes and commutative rings |
Software:
Macaulay2References:
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