Correction to “Combinatorics and geometry of power ideals”: Two counterexamples for power ideals of hyperplane arrangements
Name
Postnikov_.pdf
Size
130.46 KB
Format
Adobe PDF
Checksum (MD5)
c129b268d9eb4c72aaa682bfefd76f45
Author(s)
Ardila, Federico
Postnikov, Alexander
Date Issued
January 2015
Journal
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
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1090/S0002-9947-2015-06071-1
