{"id":"https://openalex.org/W2749845330","doi":"https://doi.org/10.1142/s0218196719500450","title":"Recursive strategy for decomposing Betti tables of complete intersections","display_name":"Recursive strategy for decomposing Betti tables of complete intersections","publication_year":2019,"publication_date":"2019-05-16","ids":{"openalex":"https://openalex.org/W2749845330","doi":"https://doi.org/10.1142/s0218196719500450","mag":"2749845330"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196719500450","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196719500450","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1708.05440","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5018476896","display_name":"Courtney R. Gibbons","orcid":"https://orcid.org/0000-0002-9016-7597"},"institutions":[{"id":"https://openalex.org/I188592606","display_name":"Hamilton College","ror":"https://ror.org/05709zb94","country_code":"US","type":"education","lineage":["https://openalex.org/I188592606"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Courtney R. Gibbons","raw_affiliation_strings":["Mathematics Department, Hamilton College, 198 College Hill Road, Clinton, NY 13323, USA"],"affiliations":[{"raw_affiliation_string":"Mathematics Department, Hamilton College, 198 College Hill Road, Clinton, NY 13323, USA","institution_ids":["https://openalex.org/I188592606"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013651613","display_name":"Robert Huben","orcid":null},"institutions":[{"id":"https://openalex.org/I114395901","display_name":"University of Nebraska\u2013Lincoln","ror":"https://ror.org/043mer456","country_code":"US","type":"education","lineage":["https://openalex.org/I114395901"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Robert Huben","raw_affiliation_strings":["Department of Mathematics, University of Nebraska\u2013Lincoln, P. O. Box 880130, Lincoln, NE 68588-0130, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Nebraska\u2013Lincoln, P. O. Box 880130, Lincoln, NE 68588-0130, USA","institution_ids":["https://openalex.org/I114395901"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071405905","display_name":"Branden Stone","orcid":null},"institutions":[{"id":"https://openalex.org/I188592606","display_name":"Hamilton College","ror":"https://ror.org/05709zb94","country_code":"US","type":"education","lineage":["https://openalex.org/I188592606"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Branden Stone","raw_affiliation_strings":["Mathematics Department, Hamilton College, 198 College Hill Road, Clinton, NY 13323, USA"],"affiliations":[{"raw_affiliation_string":"Mathematics Department, Hamilton College, 198 College Hill Road, Clinton, NY 13323, USA","institution_ids":["https://openalex.org/I188592606"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5018476896"],"corresponding_institution_ids":["https://openalex.org/I188592606"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01815495,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"29","issue":"07","first_page":"1165","last_page":"1191"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9994000196456909,"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"}},"topics":[{"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":0.9955999851226807,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.97079998254776,"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/decomposition","display_name":"Decomposition","score":0.6704822778701782},{"id":"https://openalex.org/keywords/diagram","display_name":"Diagram","score":0.6669332981109619},{"id":"https://openalex.org/keywords/codimension","display_name":"Codimension","score":0.6473531126976013},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.6348438262939453},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.614752471446991},{"id":"https://openalex.org/keywords/betti-number","display_name":"Betti number","score":0.6105847358703613},{"id":"https://openalex.org/keywords/compatibility","display_name":"Compatibility (geochemistry)","score":0.49705103039741516},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.463388055562973},{"id":"https://openalex.org/keywords/complete-intersection","display_name":"Complete intersection","score":0.4510584771633148},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4229852259159088},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.318579763174057},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.16232037544250488},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06982198357582092},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.050144702196121216}],"concepts":[{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.6704822778701782},{"id":"https://openalex.org/C186399060","wikidata":"https://www.wikidata.org/wiki/Q959962","display_name":"Diagram","level":2,"score":0.6669332981109619},{"id":"https://openalex.org/C83979697","wikidata":"https://www.wikidata.org/wiki/Q1778247","display_name":"Codimension","level":2,"score":0.6473531126976013},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.6348438262939453},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.614752471446991},{"id":"https://openalex.org/C129621563","wikidata":"https://www.wikidata.org/wiki/Q429593","display_name":"Betti number","level":2,"score":0.6105847358703613},{"id":"https://openalex.org/C2778648169","wikidata":"https://www.wikidata.org/wiki/Q967768","display_name":"Compatibility (geochemistry)","level":2,"score":0.49705103039741516},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.463388055562973},{"id":"https://openalex.org/C37253","wikidata":"https://www.wikidata.org/wiki/Q5156502","display_name":"Complete intersection","level":2,"score":0.4510584771633148},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4229852259159088},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.318579763174057},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.16232037544250488},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06982198357582092},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.050144702196121216},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C42360764","wikidata":"https://www.wikidata.org/wiki/Q83588","display_name":"Chemical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1142/s0218196719500450","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196719500450","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:1708.05440","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1708.05440","pdf_url":"https://arxiv.org/pdf/1708.05440","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"},{"id":"mag:2749845330","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1708.05440.pdf","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1708.05440","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1708.05440","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1708.05440","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1708.05440","pdf_url":"https://arxiv.org/pdf/1708.05440","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":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.44999998807907104}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1558903581","https://openalex.org/W1997152295","https://openalex.org/W2013064815","https://openalex.org/W2027929893","https://openalex.org/W2058844892","https://openalex.org/W2074955331","https://openalex.org/W2124405358","https://openalex.org/W2156199923","https://openalex.org/W2205855438","https://openalex.org/W2239710122","https://openalex.org/W2962756399","https://openalex.org/W2962944529","https://openalex.org/W2964230800","https://openalex.org/W3104634989","https://openalex.org/W4247291299"],"related_works":["https://openalex.org/W2160725437","https://openalex.org/W2951252448","https://openalex.org/W2725202603","https://openalex.org/W242325863","https://openalex.org/W2271692443","https://openalex.org/W2091334730","https://openalex.org/W2558791369","https://openalex.org/W1548371118","https://openalex.org/W2120509596","https://openalex.org/W2495258036","https://openalex.org/W2592998205","https://openalex.org/W2950088483","https://openalex.org/W2022806840","https://openalex.org/W566837470","https://openalex.org/W2951124145","https://openalex.org/W1536817204","https://openalex.org/W2768939057","https://openalex.org/W2035981372","https://openalex.org/W1878891288","https://openalex.org/W2120280025"],"abstract_inverted_index":{"In":[0],"the":[1,13,21,32,39,51,59,66,70,80,92,97],"spirit":[2],"of":[3,16,23,31,50,54,79,86],"Boij\u2013S\u00f6derberg":[4,52,71,81],"theory,":[5],"we":[6,43],"introduce":[7],"a":[8,17,24,29,76],"recursive":[9],"decomposition":[10,82],"algorithm":[11,37,68],"for":[12,83],"Betti":[14,84],"diagram":[15,22],"complete":[18,25,89],"intersection":[19,26],"using":[20],"defined":[27],"by":[28],"subset":[30],"original":[33],"generators.":[34],"This":[35],"alternative":[36,67],"is":[38,63],"main":[40],"tool":[41],"that":[42],"use":[44],"to":[45],"investigate":[46],"stability":[47],"and":[48],"compatibility":[49],"decompositions":[53],"related":[55],"diagrams;":[56],"indeed,":[57],"when":[58],"biggest":[60],"generating":[61,94],"degree":[62,95],"sufficiently":[64],"large,":[65],"produces":[69],"decomposition.":[72],"We":[73],"also":[74],"provide":[75],"detailed":[77],"analysis":[78],"diagrams":[85],"codimension":[87],"four":[88],"intersections":[90],"where":[91],"largest":[93],"satisfies":[96],"size":[98],"condition.":[99]},"counts_by_year":[],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
