{"id":"https://openalex.org/W2492475678","doi":"https://doi.org/10.1017/cbo9781139525350.013","title":"Example of a transcendental 3-torsion Brauer-Manin obstruction on a diagonal quartic surface","display_name":"Example of a transcendental 3-torsion Brauer-Manin obstruction on a diagonal quartic surface","publication_year":2013,"publication_date":"2013-04-18","ids":{"openalex":"https://openalex.org/W2492475678","doi":"https://doi.org/10.1017/cbo9781139525350.013","mag":"2492475678"},"language":"en","primary_location":{"id":"doi:10.1017/cbo9781139525350.013","doi":"https://doi.org/10.1017/cbo9781139525350.013","is_oa":false,"landing_page_url":"https://doi.org/10.1017/cbo9781139525350.013","pdf_url":null,"source":{"id":"https://openalex.org/S4306462995","display_name":"Cambridge University Press eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Torsors, \u00c9tale Homotopy and Applications to Rational Points","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W1541330920","display_name":"Torsors, \u00c9tale Homotopy and Applications to Rational Points"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080933418","display_name":"Thomas Preu","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I202697423","display_name":"University of Zurich","ror":"https://ror.org/02crff812","country_code":"CH","type":"education","lineage":["https://openalex.org/I202697423"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"T. Preu","raw_affiliation_strings":["Universit\u00e4t Z\u00fcrich"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e4t Z\u00fcrich","institution_ids":["https://openalex.org/I202697423"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5080933418"],"corresponding_institution_ids":["https://openalex.org/I202697423"],"apc_list":null,"apc_paid":null,"fwci":5.9605,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.96138329,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"447","last_page":"459"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.002099999925121665,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11166","display_name":"Analytic Number Theory Research","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/brauer-manin-obstruction","display_name":"Brauer-Manin obstruction","score":0.9879999756813049},{"id":"https://openalex.org/keywords/rational-points","display_name":"rational points","score":0.7839999794960022},{"id":"https://openalex.org/keywords/arithmetic-geometry","display_name":"arithmetic geometry","score":0.32199999690055847}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7738840579986572},{"id":"https://openalex.org/C77461463","wikidata":"https://www.wikidata.org/wiki/Q7827201","display_name":"Torsion (gastropod)","level":2,"score":0.669316291809082},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.6563180685043335},{"id":"https://openalex.org/C188370112","wikidata":"https://www.wikidata.org/wiki/Q173091","display_name":"Transcendental number","level":2,"score":0.5981372594833374},{"id":"https://openalex.org/C117139701","wikidata":"https://www.wikidata.org/wiki/Q7269363","display_name":"Quartic surface","level":3,"score":0.5511209964752197},{"id":"https://openalex.org/C130432447","wikidata":"https://www.wikidata.org/wiki/Q11420049","display_name":"Quartic function","level":2,"score":0.5345778465270996},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.47015050053596497},{"id":"https://openalex.org/C164043645","wikidata":"https://www.wikidata.org/wiki/Q16879377","display_name":"Homotopy hypothesis","level":5,"score":0.4482661187648773},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3894510567188263},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2681795358657837},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26352202892303467},{"id":"https://openalex.org/C191752858","wikidata":"https://www.wikidata.org/wiki/Q6358325","display_name":"n-connected","level":3,"score":0.2438572645187378},{"id":"https://openalex.org/C35234519","wikidata":"https://www.wikidata.org/wiki/Q3983973","display_name":"Homotopy lifting property","level":4,"score":0.20694726705551147},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C141071460","wikidata":"https://www.wikidata.org/wiki/Q40821","display_name":"Surgery","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/cbo9781139525350.013","doi":"https://doi.org/10.1017/cbo9781139525350.013","is_oa":false,"landing_page_url":"https://doi.org/10.1017/cbo9781139525350.013","pdf_url":null,"source":{"id":"https://openalex.org/S4306462995","display_name":"Cambridge University Press eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Torsors, \u00c9tale Homotopy and Applications to Rational Points","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"display_name":"Sustainable cities and communities","score":0.5400000214576721,"id":"https://metadata.un.org/sdg/11"}],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320310847","display_name":"University of South Florida","ror":"https://ror.org/032db5x82"},{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1538852320","https://openalex.org/W2012524239","https://openalex.org/W2044546206","https://openalex.org/W2049345652","https://openalex.org/W2091173838","https://openalex.org/W2116301670","https://openalex.org/W2146985909","https://openalex.org/W2962830035"],"related_works":["https://openalex.org/W2962830035","https://openalex.org/W2963041711","https://openalex.org/W2094574001","https://openalex.org/W2963776088","https://openalex.org/W2146985909","https://openalex.org/W2950920546","https://openalex.org/W1709991640","https://openalex.org/W1948800208","https://openalex.org/W3105903667","https://openalex.org/W2948478351","https://openalex.org/W2885480421","https://openalex.org/W2766807748","https://openalex.org/W66820687","https://openalex.org/W2159863838","https://openalex.org/W2049345652","https://openalex.org/W1976677460","https://openalex.org/W2779505882","https://openalex.org/W1767186526","https://openalex.org/W1583906801"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-10-10T09:11:00.788812","created_date":"2025-10-10T00:00:00"}
