{“id”:“https://openalex.org/W2967042296“,”doi“:”https://doi.org/10.1007/s00037-022-00222-9“,”title“:”通过投影计算零维热带变种“,”display_name“:”根据投影计算零维热带变种”,“publication_year”:2022,“publitation_date”:“2022-05-20”,“ids”:{“openalex”:“https://openalex.org/W2967042296“,”doi“:”https://doi.org/10.1007/s00037-022-00222-9“,”mag“:”2967042296“},”language“:”en“,”primary_location“:{”is_oa“:true,”landing_page_url“:”https://doi.org/10.1007/s00037-022-00222-9,“pdf_url”:https://link.springer.com/content/pdf/10.1007/s00037-022-00222-9.pdf,“源”:{“id”:https://openalex.org/S193995496“,”“display_name”“:”计算复杂性“,”issn_l“:”1016-3328“,”https://openalex.org/P4310320186“,”“host_organization_name”:“Birkh\u00e4user”,“host_organization_lineage”:[“https://openalex.org/P4310320186","https://openalex.org/P4310318900","https://openalex.org/P431031965“],”host_organization_lineage_names“:[”Birkh\u00e4user“,”Springer Science+Business Media“,”Spinger Nature“],“type”:“journal”},“license”:“cc-by”,“licence_id”:“https://openalex.org/licenses/cc-by“,”version“:”publishedVersion“,”is_accepted“:true,”is_published“:true},”type“:”article“,”type_crossref“:“journal-article”,”indexed_in“:[”crossref“],”open_access“:{”is_oa“:true,”oa_status“:”hybrid“,”oa_url“:”https://link.springer.com/content/pdf/10.1007/s00037-022-00222-9.pdf“,”any_repository_has_fulltext“:true},”authorships“:[{”author_position“:”第一“,”作者“:{”id“:”https://openalex.org/A5051404871“,”display_name“:”Paul G\u00f6rlach“,”orcid“:”https://orcid.org/0000-0002-4507-5677},“机构”:[{“id”:https://openalex.org/I95793202“,”display_name“:”Otto-von-Guericke University Magdeburg“,”ror“:”https://ror.org/00ggpsq73“,”country_code“:”DE“,”type“:“教育”,”世系“:[”https://openalex.org/I95793202“]}],”国家“:[”DE“],”is_corresponding“:true,”raw_author_name“:”Paul G\u00f6rlach“,”raw_affiation_strings“:[”奥托·冯·格里克大学代数与几何研究所,39106,马格德堡,德国“]},{”author_position“:”middle“,”author“:{”id“:”https://openalex.org/A5050989699“,”display_name“:”亚陶人“,”兽人“:”https://orcid.org/0000-0002-6005-7119},“机构”:[{“id”:https://openalex.org/I190082696“,”display_name“:”达拉谟大学“,”ror“:”网址:https://ror.org/01v29qb04“,”country_code“:”GB“,”type“:“教育”,”世系“:[”https://openalex.org/I190082696“]}],”countries“:[”GB“],”is_corresponding“:false,”raw_author_name“:”Yue Ren“,”raw _affiliation_strings“:【”英国达勒姆杜伦大学数学系,DH1 3LE“]},{”author_position“:”last“,”author“:{”id“:”https://openalex.org/A5008912634“,”display_name“:”Leon Zhang“,”orcid“:null},”institutions“:[{”id“:”https://openalex.org/I95457486“,”display_name“:”加州大学伯克利分校“,”ror“:”https://ror.org/01an7q238“,”country_code“:”US“,”type“:“教育”,”世系“:[”https://openalex.org/I2803209242","https://openalex.org/I95457486“]}],”国家“:[”美国“],”is_corresponding“:false,”raw_author_name“:”Leon Zhang“,”raw _affiliation_strings“:[“加州大学伯克利分校埃文斯霍尔分校,加利福尼亚州伯克利,94720-3840,美国”]}],”countries_disticont_count“:3,”institutions_disticent_count”:3,“corresponding_author_ids”:[”https://openalex.org/A5051404871“],”对应的机构ID“:[”https://openalex.org/I95793202“],”apc_list“:{”value“:2290,”currency“:”EUR“,”value_usd“:2890,”provenance“:”doaj“},”apc _payed“:”{“value”:2290、”current“:”欧元“,”value_usd”:2890、“provenance”:“doaj”}、“has_fulltext”:true、“fulltext_origin”:“pdf”、“cited_by_count”:3、“citecd_by_percentile_year”:{“min”:82、“max”:85},“biblio”:{“volume”:“31”,“issue”:“1”,“first_page”:null,“last_page”:null},“is_retracted“:false,”is_paratext“:fase,”primary_topic“:{”id“:”https://openalex.org/T11435“,”“display_name”:“代数几何和密码学中的符号计算”,“score”:0.9999,“subfield”:{“id”:“https://openalex.org/subfields/1703“,”display_name“:”计算理论与数学“},”字段“:{”id“:”https://openalex.org/fields/17“,”display_name“:”Computer Science“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},”主题“:[{”id“:”https://openalex.org/T11435“,”“display_name”:“代数几何和密码学中的符号计算”,“score”:0.9999,“subfield”:{“id”:“https://openalex.org/subfields/1703“,”display_name“:”计算理论与数学“},”字段“:{”id“:”https://openalex.org/fields/17“,”display_name“:”Computer Science“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},{”id“:”https://openalex.org/T10061“,”display_name“:”代数几何与模理论“,”score“:0.9923,”subfield“:{”id“:”https://openalex.org/subfields/2608“,”display_name“:”几何和拓扑“},”字段“:{”id“:”https://openalex.org/fields/26“,”display_name“:”Mathematics“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},{”id“:”https://openalex.org/T12069“,”“display_name”:“单项式理想和代数性质”,“score”:0.9914,“subfield”:{“id”:“https://openalex.org/subfields/2602“,”display_name“:”代数与数论“},”字段“:{”id“:”https://openalex.org/fields/26“,”display_name“:”Mathematics“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}}],”关键词“:[{”id“:”https://openalex.org/keywords/tropical-geometry网站“,”display_name“:”Tropical Geometry“,”score“:0.567017}],”concepts“:[{”id“:”https://openalex.org/C33923547,“wikidata”:https://www.wikidata.org/wiki/Q395“,”display_name“:”Mathematics“,”level“:0,”score“:0.7273538},{”id“:”https://openalex.org/C11252640,“wikidata”:https://www.wikidata.org/wiki/Q243723“,”display_name“:”Monomial“,”level“:2,”score“:0.7098689},{”id“:”https://openalex.org/C199163554,“wikidata”:https://www.wikidata.org/wiki/Q1681619“,”display_name“:”单变量“,”level“:3,”score“:0.64174384},{”id“:”https://openalex.org/C2780813799,“wikidata”:https://www.wikidata.org/wiki/Q3274237“,”display_name“:”Zero(语言学)“,”level“:2,”score“:0.61803824},{”id“:”https://openalex.org/C187834632,“wikidata”:https://www.wikidata.org/wiki/Q188804“,”display_name“:”因式分解“,”level“:2,”score“:0.5648361},{”id“:”https://openalex.org/C9019067,“wikidata”:https://www.wikidata.org/wiki/Q43260“,”display_name“:”多项式“,”level“:2,”score“:0.54909456},{”id“:”https://openalex.org/C202652594,“wikidata”:https://www.wikidata.org/wiki/Q2982669“,”display_name“:”热带几何“,”level“:2,”score“:0.53114146},{”id“:”https://openalex.org/C140745168,“wikidata”:https://www.wikidata.org/wiki/Q1210082“,”display_name“:”树遍历“,”level“:2,”score“:0.50039387},{”id“:”https://openalex.org/C114614502,“wikidata”:https://www.wikidata.org/wiki/Q76592“,”display_name“:”组合数学“,”level“:1,”score“:0.40695775},{”id“:”https://openalex.org/C118615104,“wikidata”:https://www.wikidata.org/wiki/Q121416“,”display_name“:”离散数学“,”level“:1,”score“:0.4029601},{”id“:”https://openalex.org/C11413529,“wikidata”:https://www.wikidata.org/wiki/Q8366“,”display_name“:”Algorithm“,”level“:1,”score“:0.2495476},{”id“:”https://openalex.org/C134306372,“wikidata”:https://www.wikidata.org/wiki/Q7754“,”display_name“:”数学分析“,”level“:1,”score“:0.07009438},{”id“:”https://openalex.org/C41895202,“wikidata”:https://www.wikidata.org/wiki/Q8162“,”display_name“:”语言学“,”level“:1,”score“:0.0},{”id“:”https://openalex.org/C105795698,“wikidata”:https://www.wikidata.org/wiki/Q12483“,”display_name“:”Statistics“,”level“:1,”score“:0.0},{”id“:”https://openalex.org/C138885662,“wikidata”:https://www.wikidata.org/wiki/Q5891“,”display_name“:”哲学“,”等级“:0,”分数“:0.0},{”id“:”https://openalex.org/C161584116,“wikidata”:https://www.wikidata.org/wiki/Q1952580网址“,”display_name“:”多元统计“,”level“:2,”score“:0.0}],”mesh“:[],”locations_count“:4,”location“:[{”is_oa“:true,”landing_page_url“:”https://doi.org/10.1007/s00037-022-00222-9,“pdf_url”:https://link.springer.com/content/pdf/10.1007/s00037-022-00222-9.pdf,“源”:{“id”:https://openalex.org/S193995496“,”“display_name”“:”计算复杂性“,”issn_l“:”1016-3328“,”https://openalex.org/P4310320186“,”“host_organization_name”:“Birkh\u00e4user”,“host_organization_lineage”:[“https://openalex.org/P4310320186","https://openalex.org/P4310318900","https://openalex.org/P431031965“],”host_organization_lineage_names“:[”Birkh\u00e4user“,”Springer Science+Business Media“,”Spinger Nature“],“type”:“journal”},“license”:“cc-by”,“licence_id”:“https://openalex.org/licenses/cc-by“,”version“:”publishedVersion“,”is_accepted“:true,”is_published“:true},{”is_oa“:true,”landing_page_url“:”https://durham-repository.workbride.com/file/1200379/1/Publicated%20Journal%20文章,“pdf_url”:https://durham-repository.workbride.com/file/1200379/1/Publicated%20Journal%20文章“,”source“:null,”license“:”cc-by“,”licence_id“:”https://openalex.org/licenses/cc-by“,”version“:”publishedVersion“,”is_accepted“:true,”is_published“:true},{”is_oa“:true,”landing_page_url“:”https://dro.dur.ac.uk/36476/,“pdf_url”:https://durham-repository.worktribe.com/preview/1200402/36476.pdf,“源”:{“id”:https://openalex.org/S4377196258“,”display_name“:”Durham Research Online(Durham University)“,”issn_l“:null,”issn“:null,”is_oa“:false,”is_ in_doaj“:false,”host_organization“:”https://openalex.org/I190082696“,”“host_organization_name”:“达拉谟大学”,“host_organization_lineage”:[“https://openalex.org/I190082696“],”host_organization_lineage_names“:[”达拉谟大学“],“type”:“repository”},“license”:“cc-by”,“licence_id”:“https://openalex.org/licenses/cc-by“,”版本“:”acceptedVersion“,”is_accepted“:true,”is_published“:false},{”is_oa“:true,”landing_page_url“:”https://arxiv.org/abs/1908.03486,“pdf_url”:https://arxiv.org/pdf/1908.03486,“源”:{“id”:https://openalex.org/S4306400194“,”display_name“:”arXiv(康奈尔大学)“,”issn_l“:null,”issn“:null,”is_oa“:true,”is_ in_doaj“:false,”host_organization“:”https://openalex.org/I205783295“,”host_organization_name“:”康奈尔大学“,”host_organization_lineage“:[”https://openalex.org/I205783295“],”host_organization_lineage_names“:[”康奈尔大学“],“type”:“repository”},“license”:null,“licence_id”:null,“version”:“submittedVersion”,“is_accepted”:false,“is_published”:false}],“best_oa_location”:{“is_oa”:true,“landing_page_url”:“https://doi.org/10.1007/s00037-022-00222-9,“pdf_url”:https://link.springer.com/content/pdf/10.1007/s00037-022-00222-9.pdf,“源”:{“id”:https://openalex.org/S193995496“,”“display_name”“:”计算复杂性“,”issn_l“:”1016-3328“,”https://openalex.org/P4310320186“,”“host_organization_name”:“Birkh\u00e4user”,“host_organization_lineage”:[“https://openalex.org/P4310320186","https://openalex.org/P4310318900","https://openalex.org/P431031965“],”host_organization_lineage_names“:[”Birkh\u00e4user“,”Springer Science+Business Media“,”Spinger Nature“],“type”:“journal”},“license”:“cc-by”,“licence_id”:“https://openalex.org/licenses/cc-by“,”version“:”publishedVersion“,”is_accepted“:true,”is_published“:true},”sustainable_development_goals“:[],”grants“:[],”referenced_works_count“:28,”refernced_works“:[”https://openalex.org/W1495088152","https://openalex.org/W1501162952","https://openalex.org/W1503174777","https://openalex.org/W1517477680","https://openalex.org/W1561337879","https://openalex.org/W1588391255","https://openalex.org/W1976541507","https://openalex.org/W1976677460","https://openalex.org/W2021636827","https://openalex.org/W2027738916","https://openalex.org/W2033340455","https://openalex.org/W2053967969","https://openalex.org/W2059522106","https://openalex.org/W2074004271","https://openalex.org/W2077454887","https://openalex.org/W2079988604","https://openalex.org/W2130509998","https://openalex.org/W2143830889","https://openalex.org/W2174662141","https://openalex.org/W2233474732","https://openalex.org/W2745127509","https://openalex.org/W2965276093","https://openalex.org/W2966800818","https://openalex.org/W3006318221","https://openalex.org/W3102983563","https://openalex.org/W3124631062","https://openalex.org/W4205630623","https://openalex.org/W4300166240“],”related_works“:[”https://openalex.org/W2010306471","https://openalex.org/W1966623661","https://openalex.org/W2136735429","https://openalex.org/W170547082","https://openalex.org/W2587876411","https://openalex.org/W2358332176","https://openalex.org/W2399505800","https://openalex.org/W4229950834","https://openalex.org/W333749553","https://openalex.org/W3159728418“],”ngrams_url“:”https://api.openalex.org/works/W2967042296/ngrams网站“,”abstract_inverted_index“:{”abstract“:[0],”We“:[1,57],”present“:[2],”an“:[3],”algorithm“:[4,30],”for“:[5,40],”computing“:[6,63],”zero-dimensional“:[7],”热带“:[8,65],”变种“:[9,66],”使用“:[10],”投影“:[11],”我们的“:[12],”main“:[13],”工具“:[14],”are“:[15],”快速”:[16],“单项式”:[17],“变换”:[18],“of”:[19,36,62,70,79],“三角形“:[20],”组。“:[21],”给定“:[22],”a“:[23,33,68],”Gr\u00f6bner“:[24,72,81],”基础“:[25],”我们“:[26,45],”证明“:[27],”that“:[28,47,59],”our“:[29],”requires“:[31],”only“:[32],”多项式“:[34],”number“:[35],”算术“:[37],”运算“:[38],”and,“:[39],“理想”:[41],“in”:[42],“形状”:[43],“位置”:[44],“显示”:[46],“其”:[48],“计时”:[49],“比较”:[50],““well”:[51],“against”:[52],“univariate”:[53],“factorization”:[54],“and”:[55],“backsubstitution”。“:[56],”结论“:[58],”the“:[60,71,77,80],”complexity“:[61,78],”positive-dimensional“:[64],”via“:[67],”traversal“:[69],”complex“:[73],”is“:[74],”domested“:[75],”by“:[76],”walk。“:[82]},”cited_by_api_url“:”https://api.openalex.org/works?filter=cites:W2967042296“,”counts_by_year“:[{“年份”:2024,”cited_by_count“:1},{“年度”:2023,”ciped_by_cunt“:1},”{“年”:2019,“cited_by_count”:1}],”updated_date“:”2024-05-05T05:42:47.502847“,”created_dates“:”2019-08-22“}