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dc.contributor.advisor© 2020 Springer (part of Springer Nature)
dc.contributor.authorFink, A
dc.contributor.authorMészáros, K
dc.contributor.authorSt. Dizier, A
dc.date.accessioned2020-06-18T09:28:15Z
dc.date.available2020-04-05
dc.date.available2020-06-18T09:28:15Z
dc.date.issued2020
dc.identifier.citationFink, A., Mészáros, K. and Dizier, A., 2020. Zero-one Schubert polynomials. Mathematische Zeitschrift, [online] Available at: <https://link.springer.com/article/10.1007/s00209-020-02544-2> [Accessed 18 June 2020].en_US
dc.identifier.issn0025-5874
dc.identifier.urihttps://qmro.qmul.ac.uk/xmlui/handle/123456789/65068
dc.description.abstractWe prove that if σ∈Sm is a pattern of w∈Sn, then we can express the Schubert polynomial 𝔖w as a monomial times 𝔖σ (in reindexed variables) plus a polynomial with nonnegative coefficients. This implies that the set of permutations whose Schubert polynomials have all their coefficients equal to either 0 or 1 is closed under pattern containment. Using Magyar's orthodontia, we characterize this class by a list of twelve avoided patterns. We also give other equivalent conditions on 𝔖w being zero-one. In this case, the Schubert polynomial 𝔖w is equal to the integer point transform of a generalized permutahedron.en_US
dc.publisherSpringer (part of Springer Nature)en_US
dc.relation.ispartofMathematische Zeitschrift
dc.rightsThis is a pre-copyedited, author-produced version of an article accepted for publication in Mathematische Zeitschrift following peer review.
dc.rightsThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
dc.rightsAttribution 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/us/*
dc.titleZero-one Schubert polynomialsen_US
dc.typeArticleen_US
dc.rights.holder© The Author(s) 2020
pubs.notesNot knownen_US
pubs.publication-statusAccepteden_US
dcterms.dateAccepted2020-04-05
rioxxterms.funderDefault funderen_US
rioxxterms.identifier.projectDefault projecten_US
qmul.funderAlgebra and geometry of matroids::Engineering and Physical Sciences Research Councilen_US
qmul.funderAlgebra and geometry of matroids::Engineering and Physical Sciences Research Councilen_US
rioxxterms.funder.project483cf8e1-88a1-4b8b-aecb-8402672d45f8en_US


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This is a pre-copyedited, author-produced version of an article accepted for publication in  Mathematische Zeitschrift following peer review.
Except where otherwise noted, this item's license is described as This is a pre-copyedited, author-produced version of an article accepted for publication in Mathematische Zeitschrift following peer review.