{"id":"https://openalex.org/W3005745613","doi":"https://doi.org/10.1145/3373207.3404035","title":"Signature-based algorithms for Gr\u00f6bner bases over tate algebras","display_name":"Signature-based algorithms for Gr\u00f6bner bases over tate algebras","publication_year":2020,"publication_date":"2020-07-20","ids":{"openalex":"https://openalex.org/W3005745613","doi":"https://doi.org/10.1145/3373207.3404035","mag":"3005745613"},"language":"en","primary_location":{"id":"doi:10.1145/3373207.3404035","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3373207.3404035","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2002.04491","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5090588076","display_name":"Xavier Caruso","orcid":null},"institutions":[{"id":"https://openalex.org/I15057530","display_name":"Universit\u00e9 de Bordeaux","ror":"https://ror.org/057qpr032","country_code":"FR","type":"education","lineage":["https://openalex.org/I15057530"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Xavier Caruso","raw_affiliation_strings":["Universit\u00e9 de Bordeaux, Bordeaux, France","LFANT - Lithe and fast algorithmic number theory (200, avenue de la Vieille Tour \r\n33405 Talence cedex - France)"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Bordeaux, Bordeaux, France","institution_ids":["https://openalex.org/I15057530"]},{"raw_affiliation_string":"LFANT - Lithe and fast algorithmic number theory (200, avenue de la Vieille Tour \r\n33405 Talence cedex - France)","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061019239","display_name":"Tristan Vaccon","orcid":"https://orcid.org/0000-0003-4208-8349"},"institutions":[{"id":"https://openalex.org/I65806277","display_name":"Universit\u00e9 de Limoges","ror":"https://ror.org/02cp04407","country_code":"FR","type":"education","lineage":["https://openalex.org/I65806277"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Tristan Vaccon","raw_affiliation_strings":["Universit\u00e9 de Limoges, Limoges, France"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Limoges, Limoges, France","institution_ids":["https://openalex.org/I65806277"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083940825","display_name":"Thibaut Verron","orcid":"https://orcid.org/0000-0003-0087-9097"},"institutions":[{"id":"https://openalex.org/I121883995","display_name":"Johannes Kepler University of Linz","ror":"https://ror.org/052r2xn60","country_code":"AT","type":"education","lineage":["https://openalex.org/I121883995"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Thibaut Verron","raw_affiliation_strings":["Johannes Kepler University, Linz, Austria"],"affiliations":[{"raw_affiliation_string":"Johannes Kepler University, Linz, Austria","institution_ids":["https://openalex.org/I121883995"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5090588076"],"corresponding_institution_ids":["https://openalex.org/I15057530"],"apc_list":null,"apc_paid":null,"fwci":1.5476,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.80574499,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"70","last_page":"77"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9997000098228455,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9994999766349792,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9987999796867371,"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/formalism","display_name":"Formalism (music)","score":0.7115646004676819},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.6316677331924438},{"id":"https://openalex.org/keywords/signature","display_name":"Signature (topology)","score":0.59206622838974},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5861088037490845},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5145113468170166},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5032164454460144},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.490313321352005},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4896831810474396},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4367139935493469},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3627597391605377},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11726009845733643}],"concepts":[{"id":"https://openalex.org/C73301696","wikidata":"https://www.wikidata.org/wiki/Q5469984","display_name":"Formalism (music)","level":3,"score":0.7115646004676819},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.6316677331924438},{"id":"https://openalex.org/C2779696439","wikidata":"https://www.wikidata.org/wiki/Q7512811","display_name":"Signature (topology)","level":2,"score":0.59206622838974},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5861088037490845},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5145113468170166},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5032164454460144},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.490313321352005},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4896831810474396},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4367139935493469},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3627597391605377},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11726009845733643},{"id":"https://openalex.org/C558565934","wikidata":"https://www.wikidata.org/wiki/Q2743","display_name":"Musical","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1145/3373207.3404035","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3373207.3404035","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2002.04491","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2002.04491","pdf_url":"https://arxiv.org/pdf/2002.04491","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":"pmh:oai:HAL:hal-02473665v1","is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-02473665","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Symposium on Symbolic and Algebraic Computation","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:HAL:hal-02473665v2","is_oa":true,"landing_page_url":"https://hal.science/hal-02473665","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSAC 2021 - International Symposium on Symbolic and Algebraic Computation, Jul 2020, Kalamata / Virtual, Greece. &#x27E8;10.1145/3373207.3404035&#x27E9;","raw_type":"Conference papers"},{"id":"pmh:oai:oskar-bordeaux.fr:20.500.12278/113016","is_oa":false,"landing_page_url":"https://oskar-bordeaux.fr/handle/20.500.12278/113016","pdf_url":null,"source":{"id":"https://openalex.org/S4306402569","display_name":"Oskar-Bordeaux (Universite de Bordeaux)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Communication dans un congr\u00e8s avec actes"},{"id":"pmh:oai:oskar-bordeaux.fr:20.500.12278/191562","is_oa":false,"landing_page_url":"https://oskar-bordeaux.fr/handle/20.500.12278/191562","pdf_url":null,"source":{"id":"https://openalex.org/S4306402569","display_name":"Oskar-Bordeaux (Universite de Bordeaux)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Communication dans un congr\u00e8s"},{"id":"pmh:oai:oskar-bordeaux.fr:20.500.12278/28827","is_oa":false,"landing_page_url":"https://oskar-bordeaux.fr/handle/20.500.12278/28827","pdf_url":null,"source":{"id":"https://openalex.org/S4306402569","display_name":"Oskar-Bordeaux (Universite de Bordeaux)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Communication dans un congr\u00e8s avec actes"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2002.04491","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2002.04491","pdf_url":"https://arxiv.org/pdf/2002.04491","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":[{"id":"https://openalex.org/G2586975798","display_name":null,"funder_award_id":"P31571-N32","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G4606731407","display_name":null,"funder_award_id":"ANR-18-CE40-002","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G5676435740","display_name":null,"funder_award_id":"ANR-18-CE40-0026-01","funder_id":"https://openalex.org/F4320325505","funder_display_name":"Agence Nationale pour le D\u00e9veloppement de la Recherche Universitaire"},{"id":"https://openalex.org/G6876561401","display_name":null,"funder_award_id":"ANR-18","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G7130981298","display_name":null,"funder_award_id":"ANR-18-CE40-0026","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"},{"id":"https://openalex.org/F4320325505","display_name":"Agence Nationale pour le D\u00e9veloppement de la Recherche Universitaire","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W644274252","https://openalex.org/W1503228864","https://openalex.org/W1563257127","https://openalex.org/W1581732264","https://openalex.org/W1594278443","https://openalex.org/W1976677460","https://openalex.org/W1993995116","https://openalex.org/W2016083683","https://openalex.org/W2019027848","https://openalex.org/W2038345254","https://openalex.org/W2058865345","https://openalex.org/W2076178640","https://openalex.org/W2128687423","https://openalex.org/W2144031844","https://openalex.org/W2175098281","https://openalex.org/W2269221822","https://openalex.org/W2475486651","https://openalex.org/W2504050845","https://openalex.org/W2808850675"],"related_works":["https://openalex.org/W1671124163","https://openalex.org/W2168674042","https://openalex.org/W2535275505","https://openalex.org/W3030774134","https://openalex.org/W2104499293","https://openalex.org/W2102771100","https://openalex.org/W3102011906","https://openalex.org/W2952858352","https://openalex.org/W4299612196","https://openalex.org/W1895124089"],"abstract_inverted_index":{"Introduced":[0],"by":[1],"Tate":[2,5,44,84],"in":[3,11,32,56,86,96],"[Ta71],":[4],"algebras":[6,31,45],"play":[7],"a":[8,24],"major":[9],"role":[10],"the":[12,18,27,38,54,57,60,73],"context":[13],"of":[14,29,40,53],"analytic":[15],"geometry":[16],"over":[17,43,70],"p-adics,":[19],"where":[20],"they":[21],"act":[22],"as":[23],"counterpart":[25],"to":[26,88],"use":[28],"polynomial":[30],"classical":[33],"algebraic":[34],"geometry.":[35],"In":[36,72],"[CVV19]":[37],"formalism":[39],"Gr\u00f6bner":[41,80],"bases":[42,81],"has":[46],"been":[47,94],"introduced":[48],"and":[49],"effectively":[50],"implemented.":[51],"One":[52],"bottlenecks":[55],"algorithms":[58,82],"was":[59],"time":[61],"spent":[62],"on":[63,103],"reduction,":[64],"which":[65],"are":[66],"significantly":[67],"costlier":[68],"than":[69],"polynomials.":[71],"present":[74],"article,":[75],"we":[76],"introduce":[77],"two":[78],"signature-based":[79],"for":[83],"algebras,":[85],"order":[87],"avoid":[89],"many":[90],"reductions.":[91],"They":[92],"have":[93],"implemented":[95],"SageMath.":[97],"We":[98],"discuss":[99],"their":[100],"superiority":[101],"based":[102],"numerical":[104],"evidence.":[105]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
