On ideals generated by two generic quadratic forms in the exterior algebra

DOI10.1016/j.jpaa.2019.03.010zbMath1420.13005arXiv1803.08918OpenAlexW2964019626MaRDI QIDQ2318342

Veronica Crispin Quiñonez, Samuel Lundqvist, Gleb V. Nenashev

Publication date: 15 August 2019

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

Full work available at URL: https://arxiv.org/abs/1803.08918

zbMATH Keywords

Hilbert seriesexterior algebrageneric forms

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Graded rings (13A02) Exterior algebra, Grassmann algebras (15A75) Matrix pencils (15A22)

Related Items (1)

Algebraic stories from one and from the other pockets

Uses Software

• Macaulay2

Cites Work

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• Pencils of complex and real symmetric and skew matrices
• Thin algebras of embedding dimension three
• Hilbert series for ideals generated by generic forms
• Koszul homology and Lie algebras with application to generic forms and points
• Some conjectures about the Hilbert series of generic ideals in the exterior algebra
• On generic principal ideals in the exterior algebra
• Canonical forms for symmetric/skew-symmetric real matrix pairs under strict equivalence and congruence
• An inequality for Hilbert series of graded algebras.
• Weyl Groups, the Hard Lefschetz Theorem, and the Sperner Property

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