Correction to “Combinatorics and geometry of power ideals”: Two counterexamples for power ideals of hyperplane arrangements
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We disprove Holtz and Ron’s conjecture that the power ideal
C[subscript A,−2] of a hyperplane arrangement A (also called the internal zonotopal space) is generated by A-monomials. We also show that, in contrast with the case k ≥ −2, the Hilbert series of C[subscript A,k] is not determined by the matroid of A for k ≤ −6.
Date issued
2015-01Department
Massachusetts Institute of Technology. Department of MathematicsJournal
Transactions of the American Mathematical Society
Publisher
American Mathematical Society (AMS)
Citation
Ardila, Federico, and Alexander Postnikov. “Correction to ‘Combinatorics and Geometry of Power Ideals’: Two Counterexamples for Power Ideals of Hyperplane Arrangements.” Transactions of the American Mathematical Society 367.5 (2015): 3759–3762. © 2015 American Mathematical Society
Version: Final published version
ISSN
0002-9947
1088-6850