The isomorphism problem for Grassmannian Schubert varieties

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dc.contributor.authorTarigradschi, Mihailen
dc.contributor.authorXu, Weihongen
dc.date.accessioned2024-02-19T20:10:54Zen
dc.date.available2024-02-19T20:10:54Zen
dc.date.issued2023-11-01en
dc.description.abstractWe prove that Schubert varieties in potentially different Grassmannians are isomorphic as varieties if and only if their corresponding Young diagrams are identical up to a transposition. We also discuss a generalization of this result to Grassmannian Richardson varieties. In particular, we prove that Richardson varieties in potentially different Grassmannians are isomorphic as varieties if their corresponding skew diagrams are semi-isomorphic as posets, and we conjecture the converse. Here, two posets are said to be semi-isomorphic if there is a bijection between their sets of connected components such that the corresponding components are either isomorphic or opposite.en
dc.description.versionSubmitted versionen
dc.format.extentPages 225-241en
dc.format.extent17 page(s)en
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1016/j.jalgebra.2023.06.020en
dc.identifier.eissn1090-266Xen
dc.identifier.issn0021-8693en
dc.identifier.orcidXu, Weihong [0000-0003-0990-5327]en
dc.identifier.urihttps://hdl.handle.net/10919/118056en
dc.identifier.volume633en
dc.language.isoenen
dc.publisherAcademic Press – Elsevieren
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectSchubert varietyen
dc.subjectGrassmannian varietyen
dc.subjectIsomorphism problemen
dc.subjectYoung diagramsen
dc.titleThe isomorphism problem for Grassmannian Schubert varietiesen
dc.title.serialJournal of Algebraen
dc.typeArticleen
dc.type.dcmitypeTexten
dc.type.otherArticleen
dc.type.otherJournalen
pubs.organisational-group/Virginia Techen
pubs.organisational-group/Virginia Tech/Scienceen
pubs.organisational-group/Virginia Tech/Science/Mathematicsen
pubs.organisational-group/Virginia Tech/Post-docsen

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