{"id":"https://openalex.org/W3048240643","doi":"https://doi.org/10.1142/s0218196720500587","title":"An algorithm for a lifted Massey triple product of a smooth projective plane curve","display_name":"An algorithm for a lifted Massey triple product of a smooth projective plane curve","publication_year":2020,"publication_date":"2020-08-07","ids":{"openalex":"https://openalex.org/W3048240643","doi":"https://doi.org/10.1142/s0218196720500587","mag":"3048240643"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196720500587","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196720500587","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"},"type":"article","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/A5102337685","display_name":"Younggi Lee","orcid":null},"institutions":[{"id":"https://openalex.org/I123900574","display_name":"Pohang University of Science and Technology","ror":"https://ror.org/04xysgw12","country_code":"KR","type":"education","lineage":["https://openalex.org/I123900574"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Younggi Lee","raw_affiliation_strings":["Department of Mathematics, POSTECH, 77 Cheongam-Ro, Namgu, Pohang, Gyeongbuk 37673, South Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, POSTECH, 77 Cheongam-Ro, Namgu, Pohang, Gyeongbuk 37673, South Korea","institution_ids":["https://openalex.org/I123900574"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022831383","display_name":"Jeehoon Park","orcid":"https://orcid.org/0000-0002-7671-4961"},"institutions":[{"id":"https://openalex.org/I123900574","display_name":"Pohang University of Science and Technology","ror":"https://ror.org/04xysgw12","country_code":"KR","type":"education","lineage":["https://openalex.org/I123900574"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Jeehoon Park","raw_affiliation_strings":["Department of Mathematics, POSTECH, 77 Cheongam-Ro, Namgu, Pohang, Gyeongbuk 37673, South Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, POSTECH, 77 Cheongam-Ro, Namgu, Pohang, Gyeongbuk 37673, South Korea","institution_ids":["https://openalex.org/I123900574"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066983896","display_name":"Junyeong Park","orcid":"https://orcid.org/0000-0003-2846-124X"},"institutions":[{"id":"https://openalex.org/I123900574","display_name":"Pohang University of Science and Technology","ror":"https://ror.org/04xysgw12","country_code":"KR","type":"education","lineage":["https://openalex.org/I123900574"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Junyeong Park","raw_affiliation_strings":["Department of Mathematics, POSTECH, 77 Cheongam-Ro, Namgu, Pohang, Gyeongbuk 37673, South Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, POSTECH, 77 Cheongam-Ro, Namgu, Pohang, Gyeongbuk 37673, South Korea","institution_ids":["https://openalex.org/I123900574"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020008784","display_name":"Jaehyun Yim","orcid":"https://orcid.org/0000-0002-7016-2502"},"institutions":[{"id":"https://openalex.org/I123900574","display_name":"Pohang University of Science and Technology","ror":"https://ror.org/04xysgw12","country_code":"KR","type":"education","lineage":["https://openalex.org/I123900574"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Jaehyun Yim","raw_affiliation_strings":["Department of Mathematics, POSTECH, 77 Cheongam-Ro, Namgu, Pohang, Gyeongbuk 37673, South Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, POSTECH, 77 Cheongam-Ro, Namgu, Pohang, Gyeongbuk 37673, South Korea","institution_ids":["https://openalex.org/I123900574"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5022831383"],"corresponding_institution_ids":["https://openalex.org/I123900574"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.19340629,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"30","issue":"08","first_page":"1651","last_page":"1669"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9952999949455261,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9839000105857849,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8458070755004883},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.6176786422729492},{"id":"https://openalex.org/keywords/triple-product","display_name":"Triple product","score":0.5598646998405457},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5366380214691162},{"id":"https://openalex.org/keywords/jacobian-matrix-and-determinant","display_name":"Jacobian matrix and determinant","score":0.4934443533420563},{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.4267253875732422},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.41901588439941406},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.41642647981643677},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.41349518299102783},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.33039188385009766},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2500298023223877},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.1762993037700653},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.16021829843521118}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8458070755004883},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.6176786422729492},{"id":"https://openalex.org/C26979961","wikidata":"https://www.wikidata.org/wiki/Q36248","display_name":"Triple product","level":2,"score":0.5598646998405457},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5366380214691162},{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.4934443533420563},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.4267253875732422},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.41901588439941406},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.41642647981643677},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.41349518299102783},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33039188385009766},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2500298023223877},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.1762993037700653},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16021829843521118},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218196720500587","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196720500587","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"},{"id":"pmh:oai:oasis.postech.ac.kr:2014.oak/104783","is_oa":false,"landing_page_url":"https://oasis.postech.ac.kr/handle/2014.oak/104783","pdf_url":null,"source":{"id":"https://openalex.org/S4306401965","display_name":"Open Access System for Information Sharing (Pohang University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I123900574","host_organization_name":"Pohang University of Science and Technology","host_organization_lineage":["https://openalex.org/I123900574"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":1,"referenced_works":["https://openalex.org/W2098824966"],"related_works":["https://openalex.org/W2007405763","https://openalex.org/W1486373823","https://openalex.org/W3136087161","https://openalex.org/W2053762185","https://openalex.org/W2018238589","https://openalex.org/W2145980196","https://openalex.org/W1984283682","https://openalex.org/W2235865024","https://openalex.org/W1965257389","https://openalex.org/W3145558417"],"abstract_inverted_index":{"We":[0],"provide":[1,137],"an":[2],"explicit":[3,138],"algorithm":[4,80],"to":[5,13,41,46],"compute":[6],"a":[7,14,18,28,35,82,85,98,114],"lifted":[8,86],"Massey":[9,87,105],"triple":[10,88,106],"product":[11,53,89,107,123],"relative":[12],"defining":[15,101],"system":[16,102],"for":[17,54],"smooth":[19],"projective":[20],"plane":[21],"curve":[22],"[Formula:":[23,31,55,68,76,94,125],"see":[24,32,56,69,77,95,126],"text]":[25,33,57,70,96,127],"defined":[26],"by":[27,141],"homogeneous":[29],"polynomial":[30],"over":[34],"field.":[36],"The":[37],"main":[38],"idea":[39],"is":[40],"use":[42],"the":[43,51,61,64,72,104,117,121,143],"description":[44],"(due":[45],"Carlson":[47,129],"and":[48,71,108,130],"Griffiths)":[49],"of":[50,60,67,75,103,116,120,128],"cup":[52,122],"in":[58,93,124],"terms":[59],"multiplications":[62],"inside":[63],"Jacobian":[65],"ring":[66],"Cech\u2013deRham":[73],"complex":[74],"text].":[78],"Our":[79],"gives":[81],"criterion":[83,119],"whether":[84],"vanishes":[90],"or":[91],"not":[92],"under":[97],"particular":[99],"nontrivial":[100],"thus":[109],"can":[110],"be":[111],"viewed":[112],"as":[113],"generalization":[115],"vanishing":[118],"Griffiths.":[131],"Based":[132],"on":[133],"our":[134],"algorithm,":[135],"we":[136],"numerical":[139],"examples":[140],"running":[142],"computer":[144],"program.":[145]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}