{"id":"https://openalex.org/W2045209339","doi":"https://doi.org/10.1007/s11424-012-1145-7","title":"Finding the topology of implicitly defined two algebraic plane curves","display_name":"Finding the topology of implicitly defined two algebraic plane curves","publication_year":2012,"publication_date":"2012-04-01","ids":{"openalex":"https://openalex.org/W2045209339","doi":"https://doi.org/10.1007/s11424-012-1145-7","mag":"2045209339"},"language":"en","primary_location":{"id":"doi:10.1007/s11424-012-1145-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11424-012-1145-7","pdf_url":null,"source":{"id":"https://openalex.org/S45848134","display_name":"Journal of Systems Science and Complexity","issn_l":"1009-6124","issn":["1009-6124","1559-7067"],"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":"Journal of Systems Science and Complexity","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/A5002724154","display_name":"Ben Gao","orcid":"https://orcid.org/0000-0003-1811-077X"},"institutions":[{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ben Gao","raw_affiliation_strings":["School of Mathematical Sciences, Graduate University of Chinese Academy of Sciences, Beijing, 100049, China","(Graduate University of Chinese Academy of Sciences)"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Graduate University of Chinese Academy of Sciences, Beijing, 100049, China","institution_ids":["https://openalex.org/I4210165038"]},{"raw_affiliation_string":"(Graduate University of Chinese Academy of Sciences)","institution_ids":["https://openalex.org/I4210165038"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100731152","display_name":"Yufu Chen","orcid":"https://orcid.org/0000-0002-5209-9706"},"institutions":[{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yufu Chen","raw_affiliation_strings":["School of Mathematical Sciences, Graduate University of Chinese Academy of Sciences, Beijing, 100049, China","(Graduate University of Chinese Academy of Sciences)"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Graduate University of Chinese Academy of Sciences, Beijing, 100049, China","institution_ids":["https://openalex.org/I4210165038"]},{"raw_affiliation_string":"(Graduate University of Chinese Academy of Sciences)","institution_ids":["https://openalex.org/I4210165038"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5002724154"],"corresponding_institution_ids":["https://openalex.org/I4210165038"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.0536,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.7662947,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"25","issue":"2","first_page":"362","last_page":"374"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9997000098228455,"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"}},{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9975000023841858,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.6565229892730713},{"id":"https://openalex.org/keywords/plane-curve","display_name":"Plane curve","score":0.6338322162628174},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5996755957603455},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.5807073712348938},{"id":"https://openalex.org/keywords/algebraic-topology","display_name":"Algebraic topology","score":0.5787611603736877},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5651663541793823},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5327109694480896},{"id":"https://openalex.org/keywords/algebraic-curve","display_name":"Algebraic curve","score":0.43379032611846924},{"id":"https://openalex.org/keywords/complex-system","display_name":"Complex system","score":0.4271731376647949},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3842982053756714},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.371011346578598},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33020180463790894},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2047976851463318},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.17392852902412415},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.16303393244743347},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12576425075531006},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10053575038909912},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.06630939245223999}],"concepts":[{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.6565229892730713},{"id":"https://openalex.org/C43809302","wikidata":"https://www.wikidata.org/wiki/Q1060874","display_name":"Plane curve","level":2,"score":0.6338322162628174},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5996755957603455},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.5807073712348938},{"id":"https://openalex.org/C145054310","wikidata":"https://www.wikidata.org/wiki/Q212803","display_name":"Algebraic topology","level":3,"score":0.5787611603736877},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5651663541793823},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5327109694480896},{"id":"https://openalex.org/C207043602","wikidata":"https://www.wikidata.org/wiki/Q266237","display_name":"Algebraic curve","level":2,"score":0.43379032611846924},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.4271731376647949},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3842982053756714},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.371011346578598},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33020180463790894},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2047976851463318},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.17392852902412415},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16303393244743347},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12576425075531006},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10053575038909912},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.06630939245223999},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11424-012-1145-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11424-012-1145-7","pdf_url":null,"source":{"id":"https://openalex.org/S45848134","display_name":"Journal of Systems Science and Complexity","issn_l":"1009-6124","issn":["1009-6124","1559-7067"],"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":"Journal of Systems Science and Complexity","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W166438205","https://openalex.org/W1510481473","https://openalex.org/W1574151794","https://openalex.org/W1966047467","https://openalex.org/W1969950808","https://openalex.org/W1998338093","https://openalex.org/W2026082049","https://openalex.org/W2067705970","https://openalex.org/W2104167753","https://openalex.org/W2131327682","https://openalex.org/W2141553359","https://openalex.org/W3217399827"],"related_works":["https://openalex.org/W2030471012","https://openalex.org/W2051712499","https://openalex.org/W2550122689","https://openalex.org/W1498993739","https://openalex.org/W1647114756","https://openalex.org/W1967787874","https://openalex.org/W4245708675","https://openalex.org/W285356538","https://openalex.org/W2031947084","https://openalex.org/W1969941084"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2014,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
