Secant varieties of toric varieties arising from simplicial complexes
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- dc.contributor.author Khadam, Muhammad Azeem
- dc.contributor.author Michalek, Mateusz
- dc.contributor.author Zwiernik, Piotr
- dc.date.accessioned 2021-03-22T08:37:55Z
- dc.date.available 2021-03-22T08:37:55Z
- dc.date.issued 2020
- dc.description.abstract Motivated by the study of the secant variety of the Segre-Veronese variety we propose a general framework to analyze properties of the secant varieties of toric embeddings of affine spaces defined by simplicial complexes. We prove that every such secant is toric, which gives a way to use combinatorial tools to study singularities. We focus on the Segre-Veronese variety for which we completely classify their secants that give Gorenstein or Q-Gorenstein varieties. We conclude providing the explicit description of the singular locus.
- dc.format.mimetype application/pdf
- dc.identifier.citation Khadam MA, Michalek M, Zwiernik P. Secant varieties of toric varieties arising from simplicial complexes. Linear Algebra and its Applications. 2020 Mar 1; 588: 428-457. DOI: 10.1016/j.laa.2019.12.008
- dc.identifier.doi http://dx.doi.org/10.1016/j.laa.2019.12.008
- dc.identifier.issn 0024-3795
- dc.identifier.uri http://hdl.handle.net/10230/46879
- dc.language.iso eng
- dc.publisher Elsevier
- dc.relation.ispartof Linear Algebra and its Applications. 2020 Mar 1; 588: 428-457
- dc.relation.projectID info:eu-repo/grantAgreement/ES/2PE/RYC2017-22544
- dc.relation.projectID info:eu-repo/grantAgreement/ES/2PE/PGC2018-101643-B-I00
- dc.rights © Elsevier http://dx.doi.org/10.1016/j.laa.2019.12.008
- dc.rights.accessRights info:eu-repo/semantics/openAccess
- dc.subject.keyword Secant variety
- dc.subject.keyword Segre-Veronese embedding
- dc.subject.keyword Simplicial complex
- dc.subject.keyword Cumulants
- dc.subject.keyword Singular locus
- dc.title Secant varieties of toric varieties arising from simplicial complexes
- dc.type info:eu-repo/semantics/article
- dc.type.version info:eu-repo/semantics/acceptedVersion