{"id":"https://openalex.org/W2071224261","doi":"https://doi.org/10.1145/2733693.2733705","title":"Computing Bases of Twisted Cohomology Groups for Sparse Polynomials","display_name":"Computing Bases of Twisted Cohomology Groups for Sparse Polynomials","publication_year":2015,"publication_date":"2015-02-05","ids":{"openalex":"https://openalex.org/W2071224261","doi":"https://doi.org/10.1145/2733693.2733705","mag":"2071224261"},"language":"en","primary_location":{"id":"doi:10.1145/2733693.2733705","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2733693.2733705","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/A5005668319","display_name":"Takayuki Hibi","orcid":"https://orcid.org/0000-0002-7619-1152"},"institutions":[{"id":"https://openalex.org/I98285908","display_name":"Osaka University","ror":"https://ror.org/035t8zc32","country_code":"JP","type":"education","lineage":["https://openalex.org/I98285908"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Takayuki Hibi","raw_affiliation_strings":["Osaka University, Suita, Osaka, Japan","Osaka University, Suita, OSAKA, Japan"],"affiliations":[{"raw_affiliation_string":"Osaka University, Suita, Osaka, Japan","institution_ids":["https://openalex.org/I98285908"]},{"raw_affiliation_string":"Osaka University, Suita, OSAKA, Japan","institution_ids":["https://openalex.org/I98285908"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056392217","display_name":"Kenta Nishiyama","orcid":null},"institutions":[{"id":"https://openalex.org/I65837984","display_name":"Kobe University","ror":"https://ror.org/03tgsfw79","country_code":"JP","type":"education","lineage":["https://openalex.org/I65837984"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kenta Nishiyama","raw_affiliation_strings":["Kobe University, Nadaku, Kobe, Japan"],"affiliations":[{"raw_affiliation_string":"Kobe University, Nadaku, Kobe, Japan","institution_ids":["https://openalex.org/I65837984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101523725","display_name":"Nobuki Takayama","orcid":"https://orcid.org/0000-0002-0061-514X"},"institutions":[{"id":"https://openalex.org/I65837984","display_name":"Kobe University","ror":"https://ror.org/03tgsfw79","country_code":"JP","type":"education","lineage":["https://openalex.org/I65837984"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Nobuki Takayama","raw_affiliation_strings":["Kobe University, Nadaku, Kobe, Japan"],"affiliations":[{"raw_affiliation_string":"Kobe University, Nadaku, Kobe, Japan","institution_ids":["https://openalex.org/I65837984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5005668319"],"corresponding_institution_ids":["https://openalex.org/I98285908"],"apc_list":null,"apc_paid":null,"fwci":0.5343,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.66403814,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"48","issue":"3/4","first_page":"118","last_page":"120"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":1.0,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":1.0,"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/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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9998999834060669,"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/complement","display_name":"Complement (music)","score":0.7370670437812805},{"id":"https://openalex.org/keywords/cohomology","display_name":"Cohomology","score":0.6415063738822937},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.6274629235267639},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5894380807876587},{"id":"https://openalex.org/keywords/preprint","display_name":"Preprint","score":0.5894043445587158},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.5766667723655701},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4940510094165802},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4476079046726227},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4035985469818115},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3572841286659241},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2763742208480835}],"concepts":[{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.7370670437812805},{"id":"https://openalex.org/C78606066","wikidata":"https://www.wikidata.org/wiki/Q1198376","display_name":"Cohomology","level":2,"score":0.6415063738822937},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.6274629235267639},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5894380807876587},{"id":"https://openalex.org/C43169469","wikidata":"https://www.wikidata.org/wiki/Q580922","display_name":"Preprint","level":2,"score":0.5894043445587158},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.5766667723655701},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4940510094165802},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4476079046726227},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4035985469818115},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3572841286659241},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2763742208480835},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C188082640","wikidata":"https://www.wikidata.org/wiki/Q1780899","display_name":"Complementation","level":4,"score":0.0},{"id":"https://openalex.org/C127716648","wikidata":"https://www.wikidata.org/wiki/Q104053","display_name":"Phenotype","level":3,"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/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"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":1,"locations":[{"id":"doi:10.1145/2733693.2733705","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2733693.2733705","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W634902726","https://openalex.org/W1594931873","https://openalex.org/W1815710394","https://openalex.org/W1818535863","https://openalex.org/W2058184151"],"related_works":["https://openalex.org/W2963706885","https://openalex.org/W4253683578","https://openalex.org/W3101967494","https://openalex.org/W2736041310","https://openalex.org/W2056663089","https://openalex.org/W2141793174","https://openalex.org/W2008584228","https://openalex.org/W3124205579","https://openalex.org/W2003982752","https://openalex.org/W2953233479"],"abstract_inverted_index":{"We":[0],"present":[1],"an":[2],"algorithm":[3,28],"to":[4],"construct":[5],"bases":[6],"of":[7,14,24],"twisted":[8],"cohomology":[9],"groups":[10],"for":[11],"the":[12,32],"complement":[13],"a":[15,20,36],"generic":[16,21],"sparse":[17],"polynomial":[18],"over":[19],"local":[22],"system":[23],"rank":[25],"1.":[26],"The":[27],"is":[29],"based":[30],"on":[31],"theory":[33],"given":[34],"in":[35],"recent":[37],"preprint":[38],"[1].":[39]},"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}