{"id":"https://openalex.org/W2082823752","doi":"https://doi.org/10.1142/s0218196712500257","title":"A NOTE ON THE HILBERT SCHEME OF POINTS ON A CUSP CURVE","display_name":"A NOTE ON THE HILBERT SCHEME OF POINTS ON A CUSP CURVE","publication_year":2012,"publication_date":"2012-01-18","ids":{"openalex":"https://openalex.org/W2082823752","doi":"https://doi.org/10.1142/s0218196712500257","mag":"2082823752"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196712500257","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196712500257","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","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/A5100681504","display_name":"Hwa\u2010Young Lee","orcid":"https://orcid.org/0000-0003-2591-1436"},"institutions":[{"id":"https://openalex.org/I125608817","display_name":"Korea Institute for Advanced Study","ror":"https://ror.org/041hz9568","country_code":"KR","type":"facility","lineage":["https://openalex.org/I125608817"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"HWAYOUNG LEE","raw_affiliation_strings":["School of Mathematics, Korea Institute for Advanced Study Seoul, Korea","School of Mathematics, Korea Institute for Advanced Study , Seoul, Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Korea Institute for Advanced Study Seoul, Korea","institution_ids":["https://openalex.org/I125608817"]},{"raw_affiliation_string":"School of Mathematics, Korea Institute for Advanced Study , Seoul, Korea","institution_ids":["https://openalex.org/I125608817"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5100681504"],"corresponding_institution_ids":["https://openalex.org/I125608817"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.22551152,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"22","issue":"03","first_page":"1250025","last_page":"1250025"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13802","display_name":"Vietnamese History and Culture Studies","score":0.9757999777793884,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T13802","display_name":"Vietnamese History and Culture Studies","score":0.9757999777793884,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9276999831199646,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8983098268508911},{"id":"https://openalex.org/keywords/hilbert-scheme","display_name":"Hilbert scheme","score":0.8914636373519897},{"id":"https://openalex.org/keywords/cusp","display_name":"Cusp (singularity)","score":0.8622903823852539},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.752862811088562},{"id":"https://openalex.org/keywords/hilbert-curve","display_name":"Hilbert curve","score":0.7275739312171936},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.6819156408309937},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.46498507261276245},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4581775367259979},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35872572660446167},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.23180148005485535}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8983098268508911},{"id":"https://openalex.org/C150279058","wikidata":"https://www.wikidata.org/wiki/Q5761225","display_name":"Hilbert scheme","level":2,"score":0.8914636373519897},{"id":"https://openalex.org/C2778400075","wikidata":"https://www.wikidata.org/wiki/Q655275","display_name":"Cusp (singularity)","level":2,"score":0.8622903823852539},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.752862811088562},{"id":"https://openalex.org/C2781142347","wikidata":"https://www.wikidata.org/wiki/Q1366592","display_name":"Hilbert curve","level":2,"score":0.7275739312171936},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.6819156408309937},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.46498507261276245},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4581775367259979},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35872572660446167},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.23180148005485535}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196712500257","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196712500257","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.46000000834465027,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W590887834","https://openalex.org/W1538392730","https://openalex.org/W1958493481","https://openalex.org/W2008069738","https://openalex.org/W2951641859"],"related_works":["https://openalex.org/W2951936819","https://openalex.org/W4287686996","https://openalex.org/W2082823752","https://openalex.org/W2008069738","https://openalex.org/W2096955316","https://openalex.org/W3068604750","https://openalex.org/W2952081679","https://openalex.org/W4291162023","https://openalex.org/W66046949","https://openalex.org/W2579334400"],"abstract_inverted_index":{"We":[0,27],"study":[1],"the":[2,12,30,43],"Hilbert":[3,14,44],"scheme":[4,15,33,45],"of":[5],"points":[6,22],"on":[7],"a":[8,25],"cusp":[9],"curve,":[10],"mostly":[11],"punctual":[13,32],"[Formula:":[16,34,50],"see":[17,35,51],"text]":[18,36],"which":[19],"parameterizes":[20],"m":[21],"supported":[23],"at":[24],"cusp.":[26],"show":[28],"that":[29],"reduced":[31],"is":[37],"isomorphic":[38],"to":[39],"\u2119":[40],"1":[41],"and":[42],"has":[46],"one":[47],"singularity":[48],"along":[49],"text].":[52]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}