{"id":"https://openalex.org/W4412632679","doi":"https://doi.org/10.1090/mcom/4125","title":"Chebyshev varieties","display_name":"Chebyshev varieties","publication_year":2025,"publication_date":"2025-07-24","ids":{"openalex":"https://openalex.org/W4412632679","doi":"https://doi.org/10.1090/mcom/4125"},"language":"en","primary_location":{"id":"doi:10.1090/mcom/4125","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/4125","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of 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/A5093775226","display_name":"Za\u00efneb Bel-Afia","orcid":null},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Za\u00efneb Bel-Afia","raw_affiliation_strings":["Mathematical Institute, University of Oxford, Woodstock Road, Oxford OX2 6GG, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Institute, University of Oxford, Woodstock Road, Oxford OX2 6GG, United Kingdom","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5093775227","display_name":"Chiara Meroni","orcid":null},"institutions":[{"id":"https://openalex.org/I4210112966","display_name":"Instituto de F\u00edsica Te\u00f3rica","ror":"https://ror.org/022r8mj40","country_code":"ES","type":"facility","lineage":["https://openalex.org/I134820265","https://openalex.org/I4210112966","https://openalex.org/I63634437"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Chiara Meroni","raw_affiliation_strings":["ETH Institute for Theoretical Studies, Scheuchzerstrasse 70, Building SEW, 8006 Z\u00fcrich, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ETH Institute for Theoretical Studies, Scheuchzerstrasse 70, Building SEW, 8006 Z\u00fcrich, Switzerland","institution_ids":["https://openalex.org/I4210112966"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5093775228","display_name":"Simon Telen","orcid":null},"institutions":[{"id":"https://openalex.org/I4210091327","display_name":"Max Planck Institute for Mathematics in the Sciences","ror":"https://ror.org/00ez2he07","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210091327"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Simon Telen","raw_affiliation_strings":["Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, 04103 Leipzig, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, 04103 Leipzig, Germany","institution_ids":["https://openalex.org/I4210091327"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0681,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.83415852,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":97},"biblio":{"volume":"95","issue":"360","first_page":"2061","last_page":"2089"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11130","display_name":"Coding theory and cryptography","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11797","display_name":"graph theory and CDMA systems","score":0.9947999715805054,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9839000105857849,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9151167869567871},{"id":"https://openalex.org/keywords/chebyshev-filter","display_name":"Chebyshev filter","score":0.49458739161491394},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3853134512901306},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.32546091079711914},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20531755685806274}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9151167869567871},{"id":"https://openalex.org/C21424316","wikidata":"https://www.wikidata.org/wiki/Q718621","display_name":"Chebyshev filter","level":2,"score":0.49458739161491394},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3853134512901306},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.32546091079711914},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20531755685806274}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1090/mcom/4125","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/4125","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320325503","display_name":"Walter Haefner Stiftung","ror":null},{"id":"https://openalex.org/F4320327714","display_name":"ETH Z\u00fcrich Foundation","ror":"https://ror.org/03nqkz164"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W939672504","https://openalex.org/W1533206967","https://openalex.org/W1853512291","https://openalex.org/W1971545142","https://openalex.org/W2006948763","https://openalex.org/W2007088323","https://openalex.org/W2008739241","https://openalex.org/W2056459142","https://openalex.org/W2068324845","https://openalex.org/W2082089361","https://openalex.org/W2086421911","https://openalex.org/W2524653375","https://openalex.org/W2566917795","https://openalex.org/W2743636838","https://openalex.org/W2806263336","https://openalex.org/W2904601336","https://openalex.org/W2963247163","https://openalex.org/W2984029018","https://openalex.org/W3002420268","https://openalex.org/W3035846117","https://openalex.org/W3080914972","https://openalex.org/W3140347515","https://openalex.org/W3200505410","https://openalex.org/W4205502224","https://openalex.org/W4240837394","https://openalex.org/W4298231803","https://openalex.org/W4390647612","https://openalex.org/W4403096790","https://openalex.org/W4405911742"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"Chebyshev":[0,7,46],"varieties":[1,4,35],"are":[2,43],"algebraic":[3],"parametrized":[5],"by":[6,45],"polynomials":[8],"or":[9],"their":[10],"multivariate":[11],"generalizations.":[12],"We":[13,26,48],"determine":[14],"the":[15,31],"dimension,":[16],"degree,":[17],"singular":[18],"locus":[19],"and":[20],"defining":[21],"equations":[22],"of":[23,33],"these":[24],"varieties.":[25],"explain":[27],"how":[28],"they":[29],"play":[30],"role":[32],"toric":[34],"in":[36],"sparse":[37],"polynomial":[38],"root":[39,51],"finding,":[40],"when":[41],"monomials":[42],"replaced":[44],"polynomials.":[47],"present":[49],"numerical":[50],"finding":[52],"algorithms":[53],"that":[54],"exploit":[55],"our":[56],"results.":[57]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-08-29T07:29:34.045763","created_date":"2025-10-10T00:00:00"}