On generic principal ideals in the exterior algebra

DOI10.1016/j.jpaa.2018.09.011zbMath1423.13093arXiv1803.03563OpenAlexW2792615764MaRDI QIDQ1730891

Samuel Lundqvist, Lisa Nicklasson

Publication date: 6 March 2019

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.03563

zbMATH Keywords

Hilbert seriesexterior algebrageneric forms

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Syzygies, resolutions, complexes and commutative rings (13D02) Exterior algebra, Grassmann algebras (15A75)

Related Items (2)

Algebraic stories from one and from the other pockets ⋮ On ideals generated by two generic quadratic forms in the exterior algebra

Uses Software

• Macaulay2

Cites Work

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• A tour of the weak and strong Lefschetz properties
• On Hilbert series for commutative and noncommutative graded algebras
• Factorization in exterior algebras
• Some conjectures about the Hilbert series of generic ideals in the exterior algebra
• An inequality for Hilbert series of graded algebras.
• Questions and conjectures on extremal Hilbert series

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