{"id":"https://openalex.org/W1986180644","doi":"https://doi.org/10.1007/s10208-013-9147-y","title":"Isosingular Sets and Deflation","display_name":"Isosingular Sets and Deflation","publication_year":2013,"publication_date":"2013-03-19","ids":{"openalex":"https://openalex.org/W1986180644","doi":"https://doi.org/10.1007/s10208-013-9147-y","mag":"1986180644"},"language":"en","primary_location":{"id":"doi:10.1007/s10208-013-9147-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-013-9147-y","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"Foundations of Computational Mathematics","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/A5007214938","display_name":"Jonathan D. Hauenstein","orcid":"https://orcid.org/0000-0002-9252-8210"},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jonathan D. Hauenstein","raw_affiliation_strings":["Department of Mathematics, North Carolina State University, Raleigh, NC, 27695, USA","Department of Mathematics, North Carolina State University, Raleigh, USA 27695"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, North Carolina State University, Raleigh, NC, 27695, USA","institution_ids":["https://openalex.org/I137902535"]},{"raw_affiliation_string":"Department of Mathematics, North Carolina State University, Raleigh, USA 27695","institution_ids":["https://openalex.org/I137902535"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050683196","display_name":"Charles W. Wampler","orcid":"https://orcid.org/0000-0002-9790-1600"},"institutions":[{"id":"https://openalex.org/I118136607","display_name":"General Motors (United States)","ror":"https://ror.org/05addee68","country_code":"US","type":"company","lineage":["https://openalex.org/I118136607"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Charles W. Wampler","raw_affiliation_strings":["General Motors Research and Development, Mail Code 480-106-224, 30500 Mound Road, Warren, MI, 48090, USA","General Motors Research and Development, Warren, USA 48090#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"General Motors Research and Development, Mail Code 480-106-224, 30500 Mound Road, Warren, MI, 48090, USA","institution_ids":["https://openalex.org/I118136607"]},{"raw_affiliation_string":"General Motors Research and Development, Warren, USA 48090#TAB#","institution_ids":["https://openalex.org/I118136607"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5007214938"],"corresponding_institution_ids":["https://openalex.org/I137902535"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":7.8196,"has_fulltext":false,"cited_by_count":66,"citation_normalized_percentile":{"value":0.97719065,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"13","issue":"3","first_page":"371","last_page":"403"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9980000257492065,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9757999777793884,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7839487195014954},{"id":"https://openalex.org/keywords/deflation","display_name":"Deflation","score":0.7103161811828613},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.6581858396530151},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.553381085395813},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5506264567375183},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.44601914286613464},{"id":"https://openalex.org/keywords/algebraic-geometry","display_name":"Algebraic geometry","score":0.4444938898086548},{"id":"https://openalex.org/keywords/algebraic-surface","display_name":"Algebraic surface","score":0.4376639127731323},{"id":"https://openalex.org/keywords/closure","display_name":"Closure (psychology)","score":0.432169646024704},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.42477548122406006},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.4191201329231262},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.38286474347114563},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23870041966438293},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.08091625571250916}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7839487195014954},{"id":"https://openalex.org/C8112001","wikidata":"https://www.wikidata.org/wiki/Q161081","display_name":"Deflation","level":3,"score":0.7103161811828613},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.6581858396530151},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.553381085395813},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5506264567375183},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.44601914286613464},{"id":"https://openalex.org/C68363185","wikidata":"https://www.wikidata.org/wiki/Q180969","display_name":"Algebraic geometry","level":2,"score":0.4444938898086548},{"id":"https://openalex.org/C69653121","wikidata":"https://www.wikidata.org/wiki/Q1434805","display_name":"Algebraic surface","level":3,"score":0.4376639127731323},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.432169646024704},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.42477548122406006},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.4191201329231262},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.38286474347114563},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23870041966438293},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.08091625571250916},{"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},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"id":"https://openalex.org/C126285488","wikidata":"https://www.wikidata.org/wiki/Q178476","display_name":"Monetary policy","level":2,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C556758197","wikidata":"https://www.wikidata.org/wiki/Q580018","display_name":"Monetary economics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10208-013-9147-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-013-9147-y","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"Foundations of Computational Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.434.6928","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.434.6928","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www3.nd.edu/~cwample1/Preprints/hwIsosingular.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W59564462","https://openalex.org/W589984754","https://openalex.org/W596131791","https://openalex.org/W1483218536","https://openalex.org/W1495410784","https://openalex.org/W1570420806","https://openalex.org/W1645810705","https://openalex.org/W1774881274","https://openalex.org/W1799078733","https://openalex.org/W1969041762","https://openalex.org/W1972632202","https://openalex.org/W1972896450","https://openalex.org/W1975306541","https://openalex.org/W1975927407","https://openalex.org/W1984396462","https://openalex.org/W1985456081","https://openalex.org/W1989369020","https://openalex.org/W2007860444","https://openalex.org/W2009126887","https://openalex.org/W2033936708","https://openalex.org/W2035352599","https://openalex.org/W2037402183","https://openalex.org/W2043938310","https://openalex.org/W2045451280","https://openalex.org/W2062754393","https://openalex.org/W2071860648","https://openalex.org/W2082509446","https://openalex.org/W2093101196","https://openalex.org/W2093314258","https://openalex.org/W2097519336","https://openalex.org/W2101413883","https://openalex.org/W2105303994","https://openalex.org/W2131474035","https://openalex.org/W2167360454","https://openalex.org/W2170316960","https://openalex.org/W2170485468","https://openalex.org/W2912020147","https://openalex.org/W3043060850","https://openalex.org/W4241062739","https://openalex.org/W4249549360","https://openalex.org/W4292096448"],"related_works":["https://openalex.org/W1997119286","https://openalex.org/W2045801364","https://openalex.org/W619496859","https://openalex.org/W3146749229","https://openalex.org/W243934934","https://openalex.org/W2063686524","https://openalex.org/W2077215278","https://openalex.org/W4248882275","https://openalex.org/W3156290588","https://openalex.org/W2074723219"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
