{"?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-GC4MKWVM/313cfdfa-6ae7-4b54-a972-1c59b2b9f0ae/PDF","dcterms:extent":"310 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-GC4MKWVM/5cfe2f87-0d05-4d62-9118-ff18e9d27e29/TEXT","dcterms:extent":"15 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-GC4MKWVM","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2017","dc:creator":["Bokowski, Jürgen","Pokora, Piotr"],"dc:format":[{"@xml:lang":"sl","#text":"letnik:13"},{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"str. 409-416"}],"dc:identifier":["COBISSID:18366553","ISSN:1855-3966","URN:URN:NBN:SI:doc-GC4MKWVM"],"dc:language":"en","dc:publisher":{"@xml:lang":"sl","#text":"Univerza na Primorskem, Fakulteta za matematiko, naravoslovje in informacijske tehnologije"},"dc:subject":[{"@xml:lang":"sl","#text":"Hirzebruchova neenakost"},{"@xml:lang":"sl","#text":"konfiguracije premic"},{"@xml:lang":"sl","#text":"krogelni kvocienti"},{"@xml:lang":"sl","#text":"Melchiorjeva neenakost"},{"@xml:lang":"sl","#text":"Shnurnikova neenakost"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"On line and pseudoline configurations and ball-quotients|"},"dc:description":[{"@xml:lang":"sl","#text":"In this note we show that there are no real configurations of ?$d\\geq 4$? lines in the projective plane such that the associated Kummer covers of order ?$3^{d-1}$? are ball-quotients and there are no configurations of ?$d \\geq 4$? lines such that the Kummer covers of order ?$4^{d-1}$? are ball-quotients. Moreover, we show that there exists only one configuration of real lines such that the associated Kummer cover of order ?$5^{d-1}$? is a ball-quotient. In the second part we consider the so-called topological ?$(n_k)$?-configurations and we show, using Shnurnikov's inequality, that for ?$n<27$? there do not exist ?$(n_5)$?-configurations and and for ?$n<41$? there do not exist ?$(n_6)$?-configurations"},{"@xml:lang":"sl","#text":"Pokažemo, da ni realnih konfiguracij ?$d \\geq 4$? premic v projektivni ravnini, katerih pridruženi Kummerjevi krovi reda ?$3^{d-1}$? so krogelni kvocienti, in da ne obstajajo konfiguracije ?$d \\geq 4$? premic, katerih Kummerjevi krovi reda ?$4^{d-1}$? so krogelni kvocienti. Pokažemo tudi, da obstaja samo ena konfiguracija realnih premic, katere pridruženi Kummerjevi krovi reda ?$5^{d-1}$? so krogelni kvocienti. V drugem delu obravnavamo t.i. topološke ?$(n_k)$?-konfiguracije in s pomočjo Shnurnikove neenakosti pokažemo, da za ?$n < 27$? ne obstajajo ?$(n_5)$?-konfiguracije in da za ?$n < 41$? ne obstajajo ?$(n_6)$?-konfiguracije"}],"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-GC4MKWVM","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-GC4MKWVM"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-GC4MKWVM/313cfdfa-6ae7-4b54-a972-1c59b2b9f0ae/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-GC4MKWVM/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-GC4MKWVM"}}}}