{"id":"https://openalex.org/W2912833207","doi":"https://doi.org/10.1007/s10107-014-0844-3","title":"Quartic spectrahedra","display_name":"Quartic spectrahedra","publication_year":2014,"publication_date":"2014-12-02","ids":{"openalex":"https://openalex.org/W2912833207","doi":"https://doi.org/10.1007/s10107-014-0844-3","mag":"2912833207"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-014-0844-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-014-0844-3","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/10852/41852","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037691808","display_name":"John Christian Ottem","orcid":"https://orcid.org/0000-0001-8153-8483"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"John Christian Ottem","raw_affiliation_strings":["University of Cambridge, Cambridge, CB3 0WA, UK"],"affiliations":[{"raw_affiliation_string":"University of Cambridge, Cambridge, CB3 0WA, UK","institution_ids":["https://openalex.org/I241749"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037165382","display_name":"Kristian Ranestad","orcid":"https://orcid.org/0009-0004-7865-5725"},"institutions":[{"id":"https://openalex.org/I184942183","display_name":"University of Oslo","ror":"https://ror.org/01xtthb56","country_code":"NO","type":"education","lineage":["https://openalex.org/I184942183"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Kristian Ranestad","raw_affiliation_strings":["University of Oslo, Postboks 1053, Blindern, 0316, Oslo, Norway"],"affiliations":[{"raw_affiliation_string":"University of Oslo, Postboks 1053, Blindern, 0316, Oslo, Norway","institution_ids":["https://openalex.org/I184942183"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027670183","display_name":"Bernd Sturmfels","orcid":"https://orcid.org/0000-0002-6642-1479"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bernd Sturmfels","raw_affiliation_strings":["University of California, Berkeley, CA, 94720-3840, USA"],"affiliations":[{"raw_affiliation_string":"University of California, Berkeley, CA, 94720-3840, USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008168066","display_name":"Cynthia Vinzant","orcid":"https://orcid.org/0000-0001-8140-598X"},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Cynthia Vinzant","raw_affiliation_strings":["North Carolina State University, Raleigh, NC, 27607, USA"],"affiliations":[{"raw_affiliation_string":"North Carolina State University, Raleigh, NC, 27607, USA","institution_ids":["https://openalex.org/I137902535"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5008168066"],"corresponding_institution_ids":["https://openalex.org/I137902535"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":4.2043,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.94062085,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"151","issue":"2","first_page":"585","last_page":"612"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11830","display_name":"Point processes and geometric inequalities","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11435","display_name":"Polynomial and algebraic computation","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/quartic-function","display_name":"Quartic function","score":0.9097281694412231},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.836277425289154},{"id":"https://openalex.org/keywords/quartic-surface","display_name":"Quartic surface","score":0.7812092304229736},{"id":"https://openalex.org/keywords/locus","display_name":"Locus (genetics)","score":0.5630872845649719},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5399008393287659},{"id":"https://openalex.org/keywords/quartic-plane-curve","display_name":"Quartic plane curve","score":0.5261649489402771},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.48994916677474976},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4327290654182434},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38364943861961365}],"concepts":[{"id":"https://openalex.org/C130432447","wikidata":"https://www.wikidata.org/wiki/Q11420049","display_name":"Quartic function","level":2,"score":0.9097281694412231},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.836277425289154},{"id":"https://openalex.org/C117139701","wikidata":"https://www.wikidata.org/wiki/Q7269363","display_name":"Quartic surface","level":3,"score":0.7812092304229736},{"id":"https://openalex.org/C84597430","wikidata":"https://www.wikidata.org/wiki/Q106227","display_name":"Locus (genetics)","level":3,"score":0.5630872845649719},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5399008393287659},{"id":"https://openalex.org/C84181032","wikidata":"https://www.wikidata.org/wiki/Q1857574","display_name":"Quartic plane curve","level":3,"score":0.5261649489402771},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.48994916677474976},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4327290654182434},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38364943861961365},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10107-014-0844-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-014-0844-3","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","raw_type":"journal-article"},{"id":"pmh:oai:www.duo.uio.no:10852/41852","is_oa":true,"landing_page_url":"http://hdl.handle.net/10852/41852","pdf_url":null,"source":{"id":"https://openalex.org/S4306401716","display_name":"Duo Research Archive (University of Oslo)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184942183","host_organization_name":"University of Oslo","host_organization_lineage":["https://openalex.org/I184942183"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"0025-5610","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:www.duo.uio.no:10852/41852","is_oa":true,"landing_page_url":"http://hdl.handle.net/10852/41852","pdf_url":null,"source":{"id":"https://openalex.org/S4306401716","display_name":"Duo Research Archive (University of Oslo)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184942183","host_organization_name":"University of Oslo","host_organization_lineage":["https://openalex.org/I184942183"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"0025-5610","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W653291882","https://openalex.org/W659300758","https://openalex.org/W1488340099","https://openalex.org/W1496208319","https://openalex.org/W1587972093","https://openalex.org/W1607870401","https://openalex.org/W1877476807","https://openalex.org/W1987075624","https://openalex.org/W2048497623","https://openalex.org/W2059343728","https://openalex.org/W2069140866","https://openalex.org/W2086720359","https://openalex.org/W2088097425","https://openalex.org/W2152309892","https://openalex.org/W2317283549","https://openalex.org/W2962940565","https://openalex.org/W3040586665","https://openalex.org/W3104064817","https://openalex.org/W3194975564","https://openalex.org/W4245050709","https://openalex.org/W4251111299","https://openalex.org/W6700855459"],"related_works":["https://openalex.org/W2952119375","https://openalex.org/W4299790380","https://openalex.org/W1488340099","https://openalex.org/W2324830980","https://openalex.org/W1972667525","https://openalex.org/W1524267494","https://openalex.org/W2963611704","https://openalex.org/W2036870198","https://openalex.org/W2379157521","https://openalex.org/W2088596103"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}