@prefix vivo: . @prefix edm: . @prefix dcterms: . @prefix dc: . @prefix skos: . @prefix ns0: . vivo:departmentOrSchool "Non UBC"@en ; edm:dataProvider "DSpace"@en ; dcterms:creator "Manon, Chris"@en ; dcterms:issued "2017-11-06T06:01:01Z"@*, "2017-05-09T11:29"@en ; dcterms:description "A normal affine toric variety X with no torus factors has a canonical equivariant embedding in affine space, determined by the Hilbert basis of the weight cone of X. This embedding has many nice properties: the tropicalization Trop(X) with respect to this embedding is a linear subspace of R^n, every initial ideal corresponding to a point in Trop(X) is simply the ideal of X, and the generators for the coordinate ring of X form a Khovanskii basis with respect to any full-rank homogeneous valuation. In this talk, I will report on joint work with Nathan Ilten in which we generalize this situation to normal rational affine varieties equipped with the action of a codimension-one torus. We produce explicit affine embeddings of such varieties, and show that these embeddings enjoy properties similar to those found in the toric situation."@en ; edm:aggregatedCHO "https://circle.library.ubc.ca/rest/handle/2429/63543?expand=metadata"@en ; dcterms:extent "27 minutes"@en ; dc:format "video/mp4"@en ; skos:note ""@en, "Author affiliation: George Mason University"@en ; edm:isShownAt "10.14288/1.0357454"@en ; dcterms:language "eng"@en ; ns0:peerReviewStatus "Unreviewed"@en ; edm:provider "Vancouver : University of British Columbia Library"@en ; dcterms:publisher "Banff International Research Station for Mathematical Innovation and Discovery"@en ; dcterms:rights "Attribution-NonCommercial-NoDerivatives 4.0 International"@en ; ns0:rightsURI "http://creativecommons.org/licenses/by-nc-nd/4.0/"@en ; ns0:scholarLevel "Faculty"@en ; dcterms:isPartOf "BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))"@en ; dcterms:subject "Mathematics"@en, "Algebraic geometry"@en, "Convex and discrete geometry"@en ; dcterms:title "Semi-canonical embeddings for rational compexity-one T-varieties"@en ; dcterms:type "Moving Image"@en ; ns0:identifierURI "http://hdl.handle.net/2429/63543"@en .