dc.date.accessioned | 2020-05-20T19:12:28Z | |
dc.date.available | 2020-05-20T19:12:28Z | |
dc.date.created | 2019-11-14T17:04:28Z | |
dc.date.issued | 2019 | |
dc.identifier.citation | Shaw, Kristin Mohammadi, Fatemeh . Toric degenerations of Grassmannians from matching fields. Algebraic combinatorics. 2019 | |
dc.identifier.uri | http://hdl.handle.net/10852/76033 | |
dc.description.abstract | We study the algebraic combinatorics of monomial degenerations of Plücker forms which is governed by matching fields in the sense of Sturmfels and Zelevinsky. We provide a necessary condition for a matching field to yield a SAGBI basis of the Plücker algebra for 3-planes in n-space. When the ideal associated to the matching field is quadratically generated this condition is both necessary and sufficient. Finally, we describe a family of matching fields, called 2-block diagonal, whose ideals are quadratically generated. These matching fields produce a new family of toric degenerations of Gr(3,n). | |
dc.language | EN | |
dc.publisher | MathOA | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.title | Toric degenerations of Grassmannians from matching fields | |
dc.type | Journal article | |
dc.creator.author | Shaw, Kristin | |
dc.creator.author | Mohammadi, Fatemeh | |
cristin.unitcode | 185,15,13,0 | |
cristin.unitname | Matematisk institutt | |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 1 | |
dc.identifier.cristin | 1747744 | |
dc.identifier.bibliographiccitation | info:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Algebraic combinatorics&rft.volume=&rft.spage=&rft.date=2019 | |
dc.identifier.jtitle | Algebraic combinatorics | |
dc.identifier.volume | 2 | |
dc.identifier.issue | 6 | |
dc.identifier.startpage | 1109 | |
dc.identifier.endpage | 1124 | |
dc.identifier.doi | https://doi.org/10.5802/alco.77 | |
dc.identifier.urn | URN:NBN:no-79127 | |
dc.type.document | Tidsskriftartikkel | |
dc.type.peerreviewed | Peer reviewed | |
dc.source.issn | 2589-5486 | |
dc.identifier.fulltext | Fulltext https://www.duo.uio.no/bitstream/handle/10852/76033/1/ToricDegen.pdf | |
dc.type.version | PublishedVersion | |