{"id":"https://openalex.org/W3045936792","doi":"https://doi.org/10.1145/3373207.3404027","title":"Parametric standard system for mixed module and its application to singularity theory","display_name":"Parametric standard system for mixed module and its application to singularity theory","publication_year":2020,"publication_date":"2020-07-20","ids":{"openalex":"https://openalex.org/W3045936792","doi":"https://doi.org/10.1145/3373207.3404027","mag":"3045936792"},"language":"en","primary_location":{"id":"doi:10.1145/3373207.3404027","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3373207.3404027","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-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/A5053134540","display_name":"Hiroshi Teramoto","orcid":"https://orcid.org/0000-0002-3548-8195"},"institutions":[{"id":"https://openalex.org/I205349734","display_name":"Hokkaido University","ror":"https://ror.org/02e16g702","country_code":"JP","type":"education","lineage":["https://openalex.org/I205349734"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Hiroshi Teramoto","raw_affiliation_strings":["Hokkaido University, Sapporo, Japan"],"affiliations":[{"raw_affiliation_string":"Hokkaido University, Sapporo, Japan","institution_ids":["https://openalex.org/I205349734"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011766857","display_name":"Katsusuke Nabeshima","orcid":"https://orcid.org/0000-0003-2659-9931"},"institutions":[{"id":"https://openalex.org/I922474255","display_name":"Tokushima University","ror":"https://ror.org/044vy1d05","country_code":"JP","type":"education","lineage":["https://openalex.org/I922474255"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Katsusuke Nabeshima","raw_affiliation_strings":["Tokushima University, Tokushima, Japan"],"affiliations":[{"raw_affiliation_string":"Tokushima University, Tokushima, Japan","institution_ids":["https://openalex.org/I922474255"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5053134540"],"corresponding_institution_ids":["https://openalex.org/I205349734"],"apc_list":null,"apc_paid":null,"fwci":0.7704,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.69318508,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"426","last_page":"433"},"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9993000030517578,"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/parametric-statistics","display_name":"Parametric statistics","score":0.7407259941101074},{"id":"https://openalex.org/keywords/moduli","display_name":"Moduli","score":0.6805248260498047},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.6176543235778809},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6086783409118652},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.5673505067825317},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5195906162261963},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31904202699661255},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1192295253276825},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.106162428855896},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.05963835120201111}],"concepts":[{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.7407259941101074},{"id":"https://openalex.org/C121089165","wikidata":"https://www.wikidata.org/wiki/Q6889796","display_name":"Moduli","level":2,"score":0.6805248260498047},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.6176543235778809},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6086783409118652},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5673505067825317},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5195906162261963},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31904202699661255},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1192295253276825},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.106162428855896},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.05963835120201111},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3373207.3404027","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3373207.3404027","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.41999998688697815,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1964866917","https://openalex.org/W1970130627","https://openalex.org/W1974700734","https://openalex.org/W1975573855","https://openalex.org/W1988018117","https://openalex.org/W2005722765","https://openalex.org/W2037478209","https://openalex.org/W2078149121","https://openalex.org/W2095764258","https://openalex.org/W2104948586","https://openalex.org/W2284925148","https://openalex.org/W2947593025","https://openalex.org/W2969006275","https://openalex.org/W2983123865","https://openalex.org/W4213213245"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2351083540","https://openalex.org/W2953854768","https://openalex.org/W2073681303","https://openalex.org/W2389690162","https://openalex.org/W2039467239","https://openalex.org/W4231686530","https://openalex.org/W2060497234","https://openalex.org/W3185647786","https://openalex.org/W2035968624"],"abstract_inverted_index":{"We":[0,21,39],"provide":[1,33],"a":[2,12,29],"concrete":[3],"computational":[4],"algorithm":[5,35,42],"for":[6,11,28],"computing":[7],"the":[8],"standard":[9,26],"basis":[10],"mixed":[13,30],"module":[14,31],"proposed":[15],"by":[16,43],"Gatermann":[17],"and":[18,32],"Hosten":[19],"[1].":[20],"extend":[22],"it":[23,45],"to":[24,36,46,51],"parametric":[25],"system":[27],"an":[34],"compute":[37],"it.":[38],"demonstrate":[40],"our":[41],"applying":[44],"classification":[47],"of":[48],"map-germs":[49],"relative":[50],"A":[52],"in":[53],"which":[54],"complicated":[55],"moduli":[56],"structures":[57],"appear.":[58]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
