{"id":"https://openalex.org/W2240955258","doi":"https://doi.org/10.1145/2815111.2815127","title":"Computing the topology of an arrangement of parametric or implicit algebraic curves in the Lagrange basis","display_name":"Computing the topology of an arrangement of parametric or implicit algebraic curves in the Lagrange basis","publication_year":2015,"publication_date":"2015-08-14","ids":{"openalex":"https://openalex.org/W2240955258","doi":"https://doi.org/10.1145/2815111.2815127","mag":"2240955258"},"language":"en","primary_location":{"id":"doi:10.1145/2815111.2815127","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2815111.2815127","pdf_url":null,"source":{"id":"https://openalex.org/S176185422","display_name":"ACM communications in computer algebra","issn_l":"1932-2232","issn":["1932-2232","1932-2240"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320725","host_organization_name":"SIGSAM","host_organization_lineage":["https://openalex.org/P4310320725"],"host_organization_lineage_names":["SIGSAM"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Communications in Computer Algebra","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/A5053553622","display_name":"Mario Fioravanti","orcid":"https://orcid.org/0000-0002-9749-9084"},"institutions":[{"id":"https://openalex.org/I13134134","display_name":"Universidad de Cantabria","ror":"https://ror.org/046ffzj20","country_code":"ES","type":"education","lineage":["https://openalex.org/I13134134"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Mario Fioravanti","raw_affiliation_strings":["Universidad de Cantabria, Spain"],"affiliations":[{"raw_affiliation_string":"Universidad de Cantabria, Spain","institution_ids":["https://openalex.org/I13134134"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041501036","display_name":"Laureano Gonz\u00e1lez-Vega","orcid":"https://orcid.org/0000-0002-3934-3890"},"institutions":[{"id":"https://openalex.org/I13134134","display_name":"Universidad de Cantabria","ror":"https://ror.org/046ffzj20","country_code":"ES","type":"education","lineage":["https://openalex.org/I13134134"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Laureano Gonzalez-Vega","raw_affiliation_strings":["Universidad de Cantabria, Spain"],"affiliations":[{"raw_affiliation_string":"Universidad de Cantabria, Spain","institution_ids":["https://openalex.org/I13134134"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008199804","display_name":"Jorge Caravantes","orcid":"https://orcid.org/0000-0001-9550-2481"},"institutions":[{"id":"https://openalex.org/I121748325","display_name":"Universidad Complutense de Madrid","ror":"https://ror.org/02p0gd045","country_code":"ES","type":"education","lineage":["https://openalex.org/I121748325"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Jorge Caravantes","raw_affiliation_strings":["Universidad Complutense de Madrid, Spain"],"affiliations":[{"raw_affiliation_string":"Universidad Complutense de Madrid, Spain","institution_ids":["https://openalex.org/I121748325"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5053553622"],"corresponding_institution_ids":["https://openalex.org/I13134134"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09875572,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"49","issue":"2","first_page":"53","last_page":"53"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9988999962806702,"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":0.9988999962806702,"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/T13267","display_name":"Advanced Theoretical and Applied Studies in Material Sciences and Geometry","score":0.9934999942779541,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9843000173568726,"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/basis","display_name":"Basis (linear algebra)","score":0.6598984599113464},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5860421657562256},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.578511655330658},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5637736916542053},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46450918912887573},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4560932219028473},{"id":"https://openalex.org/keywords/algebraic-curve","display_name":"Algebraic curve","score":0.41777175664901733},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.40342018008232117},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.34046101570129395},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15589958429336548},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12960326671600342},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09200704097747803}],"concepts":[{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.6598984599113464},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5860421657562256},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.578511655330658},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5637736916542053},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46450918912887573},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4560932219028473},{"id":"https://openalex.org/C207043602","wikidata":"https://www.wikidata.org/wiki/Q266237","display_name":"Algebraic curve","level":2,"score":0.41777175664901733},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.40342018008232117},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.34046101570129395},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15589958429336548},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12960326671600342},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09200704097747803},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2815111.2815127","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2815111.2815127","pdf_url":null,"source":{"id":"https://openalex.org/S176185422","display_name":"ACM communications in computer algebra","issn_l":"1932-2232","issn":["1932-2232","1932-2240"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320725","host_organization_name":"SIGSAM","host_organization_lineage":["https://openalex.org/P4310320725"],"host_organization_lineage_names":["SIGSAM"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Communications in Computer Algebra","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1504797307","https://openalex.org/W2056987734","https://openalex.org/W4297943906","https://openalex.org/W6807169395"],"related_works":["https://openalex.org/W2392320810","https://openalex.org/W2078609410","https://openalex.org/W2387724274","https://openalex.org/W282683215","https://openalex.org/W4239643353","https://openalex.org/W4382011329","https://openalex.org/W1983265578","https://openalex.org/W2534768866","https://openalex.org/W2368061881","https://openalex.org/W4390784559"],"abstract_inverted_index":{"No":[0],"abstract":[1],"available.":[2]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
