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On ideals generated by two generic quadratic forms in the exterior algebra
Stockholm University, Faculty of Science, Department of Mathematics.ORCID iD: 0000-0002-1866-4417
Number of Authors: 32019 (English)In: Journal of Pure and Applied Algebra, ISSN 0022-4049, E-ISSN 1873-1376, Vol. 223, no 12, p. 5067-5082Article in journal (Refereed) Published
Abstract [en]

Based on the structure theory of pairs of skew-symmetric matrices, we give a conjecture for the Hilbert series of the exterior algebra modulo the ideal generated by two generic quadratic forms. We show that the conjectured series is an upper bound in the coefficient-wise sense, and we determine a majority of the coefficients. We also conjecture that the series is equal to the series of the squarefree polynomial ring modulo the ideal generated by the squares of two generic linear forms.

Place, publisher, year, edition, pages
2019. Vol. 223, no 12, p. 5067-5082
Keywords [en]
Hilbert series, Exterior algebra, Generic forms
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-171928DOI: 10.1016/j.jpaa.2019.03.010ISI: 000476000000003OAI: oai:DiVA.org:su-171928DiVA, id: diva2:1350052
Available from: 2019-09-10 Created: 2019-09-10 Last updated: 2019-12-04Bibliographically approved

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