{"id":"https://openalex.org/W2962790598","doi":"https://doi.org/10.1080/10586458.2018.1474506","title":"Conjectures and Computations about Veronese Syzygies","display_name":"Conjectures and Computations about Veronese Syzygies","publication_year":2018,"publication_date":"2018-06-21","ids":{"openalex":"https://openalex.org/W2962790598","doi":"https://doi.org/10.1080/10586458.2018.1474506","mag":"2962790598"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2018.1474506","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2018.1474506","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental 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/A5082020125","display_name":"Juliette Bruce","orcid":"https://orcid.org/0000-0001-9766-7896"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Juliette Bruce","raw_affiliation_strings":["Department of Mathematics, University of Wisconsin, Madison, WI, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Wisconsin, Madison, WI, USA","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082037003","display_name":"Daniel Erman","orcid":"https://orcid.org/0000-0002-4110-2332"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Daniel Erman","raw_affiliation_strings":["Department of Mathematics, University of Wisconsin, Madison, WI, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Wisconsin, Madison, WI, USA","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088787770","display_name":"Steve Goldstein","orcid":"https://orcid.org/0000-0001-8355-3425"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Steve Goldstein","raw_affiliation_strings":["Department of Mathematics, University of Wisconsin, Madison, WI, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Wisconsin, Madison, WI, USA","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013648991","display_name":"Jay Yang","orcid":"https://orcid.org/0000-0001-8366-423X"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jay Yang","raw_affiliation_strings":["Department of Mathematics, University of Wisconsin, Madison, WI, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Wisconsin, Madison, WI, USA","institution_ids":["https://openalex.org/I135310074"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5082020125"],"corresponding_institution_ids":["https://openalex.org/I135310074"],"apc_list":null,"apc_paid":null,"fwci":0.8241,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.77220323,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"29","issue":"4","first_page":"398","last_page":"413"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.992900013923645,"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":0.992900013923645,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9919000267982483,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9909999966621399,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/betti-number","display_name":"Betti number","score":0.911267876625061},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.878875732421875},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.8263914585113525},{"id":"https://openalex.org/keywords/projective-test","display_name":"Projective test","score":0.5818289518356323},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5720806121826172},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4155523180961609},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.18624460697174072}],"concepts":[{"id":"https://openalex.org/C129621563","wikidata":"https://www.wikidata.org/wiki/Q429593","display_name":"Betti number","level":2,"score":0.911267876625061},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.878875732421875},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.8263914585113525},{"id":"https://openalex.org/C177846678","wikidata":"https://www.wikidata.org/wiki/Q1501864","display_name":"Projective test","level":2,"score":0.5818289518356323},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5720806121826172},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4155523180961609},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.18624460697174072}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/10586458.2018.1474506","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2018.1474506","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1599469538","https://openalex.org/W1837257973","https://openalex.org/W2013064815","https://openalex.org/W2016229511","https://openalex.org/W2016463359","https://openalex.org/W2074127224","https://openalex.org/W2081387733","https://openalex.org/W2119233169","https://openalex.org/W2136090687","https://openalex.org/W2148317584","https://openalex.org/W2259240290","https://openalex.org/W2962840843","https://openalex.org/W2967997769","https://openalex.org/W3102651880","https://openalex.org/W3105032234","https://openalex.org/W3105320799","https://openalex.org/W4234090230","https://openalex.org/W4247291299"],"related_works":["https://openalex.org/W2095493290","https://openalex.org/W2971813531","https://openalex.org/W4226419853","https://openalex.org/W2963974879","https://openalex.org/W2588877683","https://openalex.org/W4286888636","https://openalex.org/W3103916991","https://openalex.org/W2087869914","https://openalex.org/W3001487188","https://openalex.org/W4251748586"],"abstract_inverted_index":{"We":[0],"formulate":[1],"several":[2],"conjectures":[3,17],"which":[4],"shed":[5],"light":[6],"on":[7,36],"the":[8],"structure":[9],"of":[10,13,31],"Veronese":[11],"syzygies":[12],"projective":[14],"spaces.":[15],"These":[16],"are":[18],"motivated":[19],"by":[20],"experimental":[21],"data":[22],"that":[23],"we":[24],"derived":[25],"from":[26],"a":[27],"high-speed":[28],"high-throughput":[29],"computation":[30],"multigraded":[32],"Betti":[33],"numbers":[34],"based":[35],"numerical":[37],"linear":[38],"algebra.":[39]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}