{"?xml":{"@version":"1.0"},"edm:RDF":{"@xmlns:dc":"http://purl.org/dc/elements/1.1/","@xmlns:edm":"http://www.europeana.eu/schemas/edm/","@xmlns:wgs84_pos":"http://www.w3.org/2003/01/geo/wgs84_pos","@xmlns:foaf":"http://xmlns.com/foaf/0.1/","@xmlns:rdaGr2":"http://rdvocab.info/ElementsGr2","@xmlns:oai":"http://www.openarchives.org/OAI/2.0/","@xmlns:owl":"http://www.w3.org/2002/07/owl#","@xmlns:rdf":"http://www.w3.org/1999/02/22-rdf-syntax-ns#","@xmlns:ore":"http://www.openarchives.org/ore/terms/","@xmlns:skos":"http://www.w3.org/2004/02/skos/core#","@xmlns:dcterms":"http://purl.org/dc/terms/","edm:WebResource":[{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-BG3YEI88/4b2f5169-b5be-4b68-b7cd-4fed318e1088/PDF","dcterms:extent":"859 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-BG3YEI88/baf36a18-3111-495f-bbac-9639eae98d0d/TEXT","dcterms:extent":"38 KB"}],"edm:TimeSpan":{"@rdf:about":"2008-2025","edm:begin":{"@xml:lang":"en","#text":"2008"},"edm:end":{"@xml:lang":"en","#text":"2025"}},"edm:ProvidedCHO":{"@rdf:about":"URN:NBN:SI:DOC-BG3YEI88","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2019","dc:creator":["Sawada, Sumire","Settepanella, Simona","Yamagata, So"],"dc:format":[{"@xml:lang":"sl","#text":"številka:1"},{"@xml:lang":"sl","#text":"letnik:16"},{"@xml:lang":"sl","#text":"str. 257-276"}],"dc:identifier":["ISSN:1855-3966","COBISSID_HOST:18706777","URN:URN:NBN:SI:doc-BG3YEI88"],"dc:language":"en","dc:publisher":{"@xml:lang":"sl","#text":"Univerza na Primorskem, Fakulteta za matematiko, naravoslovje in informacijske tehnologije"},"dc:subject":[{"@xml:lang":"en","#text":"discriminantal arrangements"},{"@xml:lang":"sl","#text":"diskriminantni sestavi"},{"@xml:lang":"en","#text":"Grassmannian"},{"@xml:lang":"sl","#text":"Grassmannov prostor"},{"@xml:lang":"en","#text":"integer linear programmingPappus's Theorem"},{"@xml:lang":"en","#text":"intersection lattice"},{"@xml:lang":"sl","#text":"Pappusov izrek"},{"@xml:lang":"sl","#text":"presečne mreže"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Pappus's Theorem in Grassmannian Gr(3, Csupn)|"},"dc:description":[{"@xml:lang":"sl","#text":"In this paper we study intersections of quadrics, components of the hypersurface in the Grassmannian ?$Gr(3, \\mathbb{C}^n)$? introduced by S. Sawada, S. Settepanella and S. Yamagata in 2017. This lead to an alternative statement and proof of Pappus's Theorem retrieving Pappus's and Hesse configurations of lines as special points in the complex projective Grassmannian. This new connection is obtained through a third purely combinatorial object, the intersection lattice of Discriminantal arrangement"},{"@xml:lang":"sl","#text":"V članku študiramo preseke kvadrikov, komponent hiperploskve v Grassmanovih prostorih ?$Gr(3, \\mathbb{C}^n)$?, ki so jih vpeljali S. Sawada, S. Settepanella in S. Yamagata leta 2017. To vodi k alternativni formulaciji in dokazu Pappusovega izreka, ki Pappusovo in Hessejevo konfiguracijo premic predstavi kot posebni točki v kompleksnem projektivnem Grassmannovem prostoru. To novo povezavo dobimo s pomočjo tretjega povsem kombinatoričnega objekta, presečne mreže diskriminantnega sestava"}],"edm:type":"TEXT","dc:type":[{"@xml:lang":"sl","#text":"znanstveno časopisje"},{"@xml:lang":"en","#text":"journals"},{"@rdf:resource":"http://www.wikidata.org/entity/Q361785"}]},"ore:Aggregation":{"@rdf:about":"http://www.dlib.si/?URN=URN:NBN:SI:DOC-BG3YEI88","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:DOC-BG3YEI88"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:DOC-BG3YEI88/4b2f5169-b5be-4b68-b7cd-4fed318e1088/PDF"},"edm:rights":{"@rdf:resource":"http://creativecommons.org/licenses/by/4.0/"},"edm:provider":"Slovenian National E-content Aggregator","edm:intermediateProvider":{"@xml:lang":"en","#text":"National and University Library of Slovenia"},"edm:dataProvider":{"@xml:lang":"sl","#text":"Univerza na Primorskem, Fakulteta za naravoslovje, matematiko in informacijske tehnologije"},"edm:object":{"@rdf:resource":"http://www.dlib.si/streamdb/URN:NBN:SI:DOC-BG3YEI88/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:DOC-BG3YEI88"}}}}