{"id":"https://openalex.org/W2324194200","doi":"https://doi.org/10.1090/mcom/3317","title":"On twists of smooth plane curves","display_name":"On twists of smooth plane curves","publication_year":2017,"publication_date":"2017-08-30","ids":{"openalex":"https://openalex.org/W2324194200","doi":"https://doi.org/10.1090/mcom/3317","mag":"2324194200"},"language":"en","primary_location":{"id":"doi:10.1090/mcom/3317","is_oa":true,"landing_page_url":"https://doi.org/10.1090/mcom/3317","pdf_url":"https://www.ams.org/mcom/2019-88-315/S0025-5718-2018-03317-8/S0025-5718-2018-03317-8.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.ams.org/mcom/2019-88-315/S0025-5718-2018-03317-8/S0025-5718-2018-03317-8.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059041901","display_name":"Eslam Badr","orcid":"https://orcid.org/0000-0002-3960-7243"},"institutions":[{"id":"https://openalex.org/I145487455","display_name":"Cairo University","ror":"https://ror.org/03q21mh05","country_code":"EG","type":"education","lineage":["https://openalex.org/I145487455"]}],"countries":["EG"],"is_corresponding":true,"raw_author_name":"Eslam Badr","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Cairo University, 12613 Giza, Egypt"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Cairo University, 12613 Giza, Egypt","institution_ids":["https://openalex.org/I145487455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011326339","display_name":"Francesc Bars","orcid":"https://orcid.org/0000-0003-4779-3995"},"institutions":[{"id":"https://openalex.org/I4210122226","display_name":"Centre de Recerca Matem\u00e0tica","ror":"https://ror.org/020s51w82","country_code":"ES","type":"facility","lineage":["https://openalex.org/I4210122226","https://openalex.org/I4387153040"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Francesc Bars","raw_affiliation_strings":["Departament Matem\u00c3\u00a0tiques, Edif. C, Universitat Aut\u00c3\u00b2noma de Barcelona, 08193 Bellaterra, Catalonia, Spain"],"affiliations":[{"raw_affiliation_string":"Departament Matem\u00c3\u00a0tiques, Edif. C, Universitat Aut\u00c3\u00b2noma de Barcelona, 08193 Bellaterra, Catalonia, Spain","institution_ids":["https://openalex.org/I4210122226"]}]},{"author_position":"last","author":{"id":null,"display_name":"Elisa Lorenzo Garc\u00eda","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Elisa Lorenzo Garc\u00eda","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5059041901"],"corresponding_institution_ids":["https://openalex.org/I145487455"],"apc_list":null,"apc_paid":null,"fwci":1.6925,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.81396034,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"88","issue":"315","first_page":"421","last_page":"438"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9994000196456909,"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/T10849","display_name":"Finite Group Theory Research","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/mathematics","display_name":"Mathematics","score":0.7155895829200745},{"id":"https://openalex.org/keywords/plane-curve","display_name":"Plane curve","score":0.6931105852127075},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.6704472899436951},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.5170934200286865},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.47191646695137024},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.4705132842063904},{"id":"https://openalex.org/keywords/automorphism","display_name":"Automorphism","score":0.46193304657936096},{"id":"https://openalex.org/keywords/twist","display_name":"Twist","score":0.4425642788410187},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.41895318031311035},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4111076593399048},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2768824100494385},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14551737904548645}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7155895829200745},{"id":"https://openalex.org/C43809302","wikidata":"https://www.wikidata.org/wiki/Q1060874","display_name":"Plane curve","level":2,"score":0.6931105852127075},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.6704472899436951},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.5170934200286865},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.47191646695137024},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.4705132842063904},{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.46193304657936096},{"id":"https://openalex.org/C2776196297","wikidata":"https://www.wikidata.org/wiki/Q17138781","display_name":"Twist","level":2,"score":0.4425642788410187},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.41895318031311035},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4111076593399048},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2768824100494385},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14551737904548645},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1090/mcom/3317","is_oa":true,"landing_page_url":"https://doi.org/10.1090/mcom/3317","pdf_url":"https://www.ams.org/mcom/2019-88-315/S0025-5718-2018-03317-8/S0025-5718-2018-03317-8.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1603.08711","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1603.08711","pdf_url":"https://arxiv.org/pdf/1603.08711","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2324194200","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1603.08711.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:HAL:hal-01618759v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01618759","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematics of Computation, 2018, 88 (315), pp.421-438. ⟨10.1090/mcom/3317⟩","raw_type":"Journal articles"},{"id":"pmh:oai:ddd.uab.cat:240667","is_oa":true,"landing_page_url":"https://ddd.uab.cat/record/240667","pdf_url":null,"source":{"id":"https://openalex.org/S4306400380","display_name":"Dip\u00f2sit Digital de Documents de la UAB (Universitat Aut\u00f2noma de Barcelona)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I123044942","host_organization_name":"Universitat Aut\u00f2noma de Barcelona","host_organization_lineage":["https://openalex.org/I123044942"],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"doi:10.48550/arxiv.1603.08711","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1603.08711","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.1090/mcom/3317","is_oa":true,"landing_page_url":"https://doi.org/10.1090/mcom/3317","pdf_url":"https://www.ams.org/mcom/2019-88-315/S0025-5718-2018-03317-8/S0025-5718-2018-03317-8.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3394364173","display_name":null,"funder_award_id":"MTM2013-40680-P","funder_id":"https://openalex.org/F4320321764","funder_display_name":"Ministerio de Educaci\u00f3n, Cultura y Deporte"},{"id":"https://openalex.org/G6810804083","display_name":null,"funder_award_id":"MTM2016-75980-P","funder_id":"https://openalex.org/F4320321764","funder_display_name":"Ministerio de Educaci\u00f3n, Cultura y Deporte"}],"funders":[{"id":"https://openalex.org/F4320321764","display_name":"Ministerio de Educaci\u00f3n, Cultura y Deporte","ror":"https://ror.org/03nc27g21"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2324194200.pdf","grobid_xml":"https://content.openalex.org/works/W2324194200.grobid-xml"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W588295442","https://openalex.org/W848536870","https://openalex.org/W1741381313","https://openalex.org/W2015465448","https://openalex.org/W2214529553","https://openalex.org/W2254402213","https://openalex.org/W2501538297","https://openalex.org/W2951111116","https://openalex.org/W2963488390","https://openalex.org/W3100402120","https://openalex.org/W3101735076","https://openalex.org/W3106210204"],"related_works":["https://openalex.org/W2150952605","https://openalex.org/W2963887365","https://openalex.org/W2886737245","https://openalex.org/W1525580332","https://openalex.org/W2795575481","https://openalex.org/W2068345374","https://openalex.org/W1972907475","https://openalex.org/W2383347752","https://openalex.org/W3111386871","https://openalex.org/W2950397077","https://openalex.org/W2284557637","https://openalex.org/W92975892","https://openalex.org/W1963952373","https://openalex.org/W2069338847","https://openalex.org/W383877922","https://openalex.org/W2912469162","https://openalex.org/W987838601","https://openalex.org/W2017096788","https://openalex.org/W3115881908","https://openalex.org/W1939457807"],"abstract_inverted_index":{"Given":[0],"a":[1,6,22,48,71,107,148,191,214,221,228,245,267],"smooth":[2,149,237],"curve":[3,108],"defined":[4,75,109,128,247],"over":[5,26,76,110,129,162,199,248],"field":[7,78],"":[9,28,54,80,112,131,164,201,250],"":[12,57,83,115,134,167,204,253],"":[13,33,58,84,116,135,168,205,254],"k":[14,35,59,85,117,136,169,206,255],"k":[16,61,87,119,138,171,208,257],"":[17,44,62,88,120,139,172,209,258],"":[18,45,63,89,121,140,173,210,259],"":[19,46,64,90,122,141,174,211,260],"that":[20,146],"admits":[21],"non-singular":[23,72,159,196],"plane":[24,73,124,150,160,197,238],"model":[25,74,151,198,246],"alttext=\"k":[31],"overbar\">":[32],"":[34],"":[37],"\u00af":[38],"":[39],"":[40],"encoding=\"application/x-tex\">\\overline":[42],"{k}":[43],",":[47,65],"fixed":[49],"separable":[50],"closure":[51],"of":[52,104,158,190,236],"it":[66],"does":[67],"not":[68,193],"necessarily":[69],"have":[70],"the":[77,156,234],".":[91,142,212],"We":[92,178],"determine":[93],"under":[94],"which":[95],"conditions":[96],"this":[97],"happens":[98],"and":[99,184],"we":[100,153,185,216,226],"show":[101,187],"an":[102,188],"example":[103,189],"such":[105,147,182],"phenomenon:":[106],"admitting":[123,194],"models":[125,161,183],"but":[126],"none":[127],"Now,":[143],"even":[144],"assuming":[145],"exists,":[152],"wonder":[154],"about":[155],"existence":[157],"for":[175,220],"its":[176],"twists.":[177],"characterize":[179],"twists":[180,235],"possessing":[181],"also":[186],"twist":[192],"any":[195],"As":[213],"consequence,":[215],"get":[217],"explicit":[218],"equations":[219],"non-trivial":[222],"Brauer-Severi":[223],"surface.":[224],"Finally,":[225],"obtain":[227],"theoretical":[229],"result":[230],"to":[231],"describe":[232],"all":[233],"curves":[239],"with":[240],"cyclic":[241],"automorphism":[242,262],"group":[243,263],"having":[244],"whose":[261],"is":[264],"generated":[265],"by":[266],"diagonal":[268],"matrix.":[269]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3}],"updated_date":"2026-04-22T06:01:30.510260","created_date":"2025-10-10T00:00:00"}