{"id":"https://openalex.org/W2145180147","doi":"https://doi.org/10.1142/s0218196714500301","title":"Borel degenerations of arithmetically Cohen\u2013Macaulay curves in \u2119<sup>3</sup>","display_name":"Borel degenerations of arithmetically Cohen\u2013Macaulay curves in \u2119<sup>3</sup>","publication_year":2014,"publication_date":"2014-07-15","ids":{"openalex":"https://openalex.org/W2145180147","doi":"https://doi.org/10.1142/s0218196714500301","mag":"2145180147"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196714500301","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196714500301","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1111.2754","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Gunnar Fl\u00f8ystad","orcid":null},"institutions":[{"id":"https://openalex.org/I4432739","display_name":"University of Bergen","ror":"https://ror.org/03zga2b32","country_code":"NO","type":"education","lineage":["https://openalex.org/I4432739"]}],"countries":["NO"],"is_corresponding":true,"raw_author_name":"Gunnar Fl\u00f8ystad","raw_affiliation_strings":["Matematisk institutt, Universitetet i Bergen, Johs. Brunsgt. 12, 5008 Bergen, Norway"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Matematisk institutt, Universitetet i Bergen, Johs. Brunsgt. 12, 5008 Bergen, Norway","institution_ids":["https://openalex.org/I4432739"]}]},{"author_position":"last","author":{"id":null,"display_name":"Margherita Roggero","orcid":null},"institutions":[{"id":"https://openalex.org/I1330701686","display_name":"Collegio Carlo Alberto","ror":"https://ror.org/0397knh37","country_code":"IT","type":"education","lineage":["https://openalex.org/I1330701686"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Margherita Roggero","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e1 di Torino, Via Carlo Alberto 10, 10123 Torino, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e1 di Torino, Via Carlo Alberto 10, 10123 Torino, Italy","institution_ids":["https://openalex.org/I1330701686"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4432739"],"apc_list":null,"apc_paid":null,"fwci":1.1677,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.77521216,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"24","issue":"05","first_page":"715","last_page":"739"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9656000137329102,"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"}},"topics":[{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9656000137329102,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.019700000062584877,"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":0.004800000227987766,"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/codimension","display_name":"Codimension","score":0.7378000020980835},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.5497000217437744},{"id":"https://openalex.org/keywords/hilbert-scheme","display_name":"Hilbert scheme","score":0.5209000110626221},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.5070000290870667},{"id":"https://openalex.org/keywords/borel-equivalence-relation","display_name":"Borel equivalence relation","score":0.45260000228881836},{"id":"https://openalex.org/keywords/quadric","display_name":"Quadric","score":0.4090000092983246}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9592999815940857},{"id":"https://openalex.org/C83979697","wikidata":"https://www.wikidata.org/wiki/Q1778247","display_name":"Codimension","level":2,"score":0.7378000020980835},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5740000009536743},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.5497000217437744},{"id":"https://openalex.org/C150279058","wikidata":"https://www.wikidata.org/wiki/Q5761225","display_name":"Hilbert scheme","level":2,"score":0.5209000110626221},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.5070000290870667},{"id":"https://openalex.org/C5278979","wikidata":"https://www.wikidata.org/wiki/Q4944905","display_name":"Borel equivalence relation","level":4,"score":0.45260000228881836},{"id":"https://openalex.org/C2779219049","wikidata":"https://www.wikidata.org/wiki/Q852117","display_name":"Quadric","level":2,"score":0.4090000092983246},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.38600000739097595},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3407999873161316},{"id":"https://openalex.org/C57033185","wikidata":"https://www.wikidata.org/wiki/Q5761236","display_name":"Hilbert series and Hilbert polynomial","level":3,"score":0.3375999927520752},{"id":"https://openalex.org/C25942563","wikidata":"https://www.wikidata.org/wiki/Q893487","display_name":"Borel hierarchy","level":4,"score":0.33149999380111694},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.3310999870300293},{"id":"https://openalex.org/C39952206","wikidata":"https://www.wikidata.org/wiki/Q21086747","display_name":"Borel set","level":2,"score":0.2858999967575073}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218196714500301","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196714500301","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"},{"id":"pmh:oai:arXiv.org:1111.2754","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1111.2754","pdf_url":"https://arxiv.org/pdf/1111.2754","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1111.2754","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1111.2754","pdf_url":"https://arxiv.org/pdf/1111.2754","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1635682819","https://openalex.org/W2054512056","https://openalex.org/W2088339744","https://openalex.org/W2565511953","https://openalex.org/W4248269519","https://openalex.org/W4249549360"],"related_works":[],"abstract_inverted_index":{"We":[0,20],"investigate":[1],"Borel":[2,28,53,66,78],"ideals":[3,54,67,79],"on":[4,32,43,55,61,69,85],"the":[5,52,86],"Hilbert":[6,57],"scheme":[7,58],"components":[8],"of":[9,77],"arithmetically":[10],"Cohen\u2013Macaulay":[11],"(ACM)":[12],"codimension":[13],"two":[14],"schemes":[15],"in":[16,40,48],"\u2119":[17,41],"n":[18],".":[19],"give":[21],"a":[22,27,34,44,71,75],"basic":[23],"necessary":[24],"criterion":[25],"for":[26,74],"ideal":[29],"to":[30],"be":[31],"such":[33,70],"component.":[35,59,87],"Then":[36],"considering":[37],"ACM":[38],"curves":[39],"3":[42],"quadric":[45],"we":[46,63,80],"compute":[47],"several":[49],"examples":[50],"all":[51],"their":[56],"Based":[60],"this":[62],"conjecture":[64],"which":[65],"are":[68,84],"component,":[72],"and":[73],"range":[76],"prove":[81],"that":[82],"they":[83]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2016-06-24T00:00:00"}