{“id”:“https://openalex.org/W1991675728“,”doi“:”https://doi.org/10.1007/s10208-014-9214-z“,”title“:“简并轨迹与多项式方程求解”,”display_name“:”简并轨迹和多项式方程求解“,”publication_year“:2014,”publitation_date“:”2014-10-22“,”ids“:{”openalex“:”https://openalex.org/W1991675728“,”doi“:”https://doi.org/10.1007/s10208-014-9214-z“,”mag“:”1991675728“},”language“:”en“,”primary_location“:{”is_oa“:false,”landing_page_url“:”https://doi.org/10.1007/s10208-014-9214-z“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S151639445“,”display_name“:”计算数学基础“,”issn_l“:”1615-3375“,”isn“:[”1615-33.75“,“1615-3383”],”is_oa“:false,”is-in_doaj“:false,”is_core“:true,”host_organization“:”https://openalex.org/P4310318900“,”“host_organization_name”:“Springer Science+Business Media”,“host_organization_lineage”:[“https://openalex.org/P431031965","https://openalex.org/P4310318900“],”host_organization_lineage_names“:[”Springer Nature“,”Springer-Science+Business Media“],“type”:“journal”},“license”:null,“licence_id”:nul,“version”:null,“is_accepted”:false,“is_published”:false},”type“:”article“,”type_crossref“:“jornal-article”,“indexed_in”:[”crossref“]”,“open_access”:{“is_oa”:true,“oa_status”:“green”url“:”https://ri.conicet.gov.ar/bitstream/11336/38112/5/conicet_Digital_Nro.fe15271f-d6eb-4ba4-b952-16643d70e245_D.pdf“,”any_repository_has_fulltext“:true},”authorships“:[{”author_position“:”第一“,”作者“:{”id“:”https://openalex.org/A5102227721“,”display_name“:”Bernd Bank“,”orcid“:null},”institutions“:[{”id“:”https://openalex.org/I39343248“,”display_name“:”洪堡大学\u00e4t zu Berlin“,”ror“:”https://ror.org/01hcx6992“,”country_code“:”DE“,”type“:“教育”,”世系“:[”https://openalex.org/I39343248“]}],”国家“:[”DE“],”is_corresponding“:false,”raw_author_name“:”Bernd Bank“,”raw _affiliation_strings“:[“Mathematik研究所,洪堡大学\u00e4t zu Berlin,10099\u00a0,德国柏林”],”从属关系“:[{”raw _affiliation_string“:”Mathematick研究所,德国“,”机构ID“:[”https://openalex.org/I39343248“]}]},{”author_position“:”middle“,”author“:{”id“:”https://openalex.org/A5014710360“,”display_name“:”M Giusti“,”orcid“:null},”institutions“:[{”id“:”https://openalex.org/I1294671590“,”display_name“:”国家科学中心“,”ror“:”https://ror.org/02feahw73“,”country_code“:”FR“,”type“:“政府”,”世系“:[”https://openalex.org/I1294671590“]},{”id“:”https://openalex.org/I4210139461“,”display_name“:”Laboratoire d'Informatique de l'\u00c9cole Polytechnique“,”ror“:”https://ror.org/04afed728“,”“country_code”“:”FR“,”type“:”facility“,”lineage“:[”https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210139461","https://openalex.org/I4210145102","https://openalex.org/I4210159245“]}],”国家“:[”FR“],”is_corresponding“:false,”raw_author_name“:”Marc Giusti“,”raw _affiliation_strings“:[“Laboratoire d'informatique,LIX,UMR 7161 CNRS,Campus de l'\u00c9cole Polytechnique,91128\u00a0,Palaiseau Cedex,France”],“affiliations”:[{“raw_affilition_string”:“信息实验室,LIX,UMR 7161 CNRS,Campus de l'\u00c9cole Polytechnique,91128\u00a0,Palaiseau Cedex,France“,“institution_ids”:[“https://openalex.org/I1294671590","https://openalex.org/I4210139461“]}]},{”author_position“:”middle“,”author“:{”id“:”https://openalex.org/A5009389655“,”display_name“:”Joos Heintz“,”orcid“:null},”institutions“:[{”id“:”https://openalex.org/I24354313“,”display_name“:”布宜诺斯艾利斯大学“,”ror“:”https://ror.org/0081fs513“,”country_code“:”AR“,”type“:“教育”,”世系“:[”https://openalex.org/I24354313“]}],”国家“:[”AR“],”is_corresponding“:true,”raw_author_name“:”Joos Heintz“,”raw _affiliation_strings“:[“计算部\u00f3n,布宜诺斯艾利斯大学,Ciudad Univ.,Pab.I,1428\u00a0,阿根廷布宜诺斯艾利斯”],”afliations“:[{”raw_affiliation_string“:”宾夕法尼亚州布宜诺斯艾利斯大学计算机系。I、 1428\u00a0,布宜诺斯艾利斯,阿根廷”,“机构ID”:[“https://openalex.org/I24354313“]}]},{”author_position“:”middle“,”author“:{”id“:”https://openalex.org/A5086685207“,”display_name“:”Gr\u00e9goire Lecerf“,”orcid“:null},”institutions“:[{”id“:”https://openalex.org/I1294671590“,”display_name“:”国家科学中心“,”ror“:”https://ror.org/02feahw73“,”country_code“:”FR“,”type“:“政府”,”世系“:[”https://openalex.org/I1294671590“]},{”id“:”https://openalex.org/I4210139461“,”display_name“:”Laboratoire d'Informatique de l'\u00c9cole Polytechnique“,”ror“:”https://ror.org/04afed728“,”“country_code”“:”FR“,”type“:”facility“,”lineage“:[”https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210139461","https://openalex.org/I4210145102","https://openalex.org/I4210159245“]}],”国家“:[”FR“],”is_corresponding“:false,”raw_author_name“:”Gr\u00e9goire Lecerf“,”raw _ afiliation_strings“:[“Laboratoire d'informatique,LIX,UMR 7161 CNRS,Campus de l'\u00c9cole Polytechnique,91128\u00a0,Palaiseau Cedex,France”],“afiliations”:[{“raw_affiliation_string”:“信息实验室,LIX,UMR 7161 CNRS,Campus de l'\u00c9cole Polytechnique,91128\u00a0,Palaiseau Cedex,France“,“institution_ids”:[“https://openalex.org/I1294671590","https://openalex.org/I4210139461“]}]},{”author_position“:”middle“,”author“:{”id“:”https://openalex.org/A5050319969“,”display_name“:”Guillermo Matera“,”orcid“:null},”institutions“:[{”id“:”https://openalex.org/I35953669“,”display_name“:”Sarmiento国立综合大学“,”ror“:”https://ror.org/01k6h2m87“,”country_code“:”AR“,”type“:“教育”,”世系“:[”https://openalex.org/I35953669“]}],”国家“:[”AR“],”is_corresponding“:false,”raw_author_name“:”Guillermo Matera“,”raw _affiliation_strings“:[“萨米恩托国立大学人类研究所,J.M.Gutierrez 1150,B1613GSX\u00a0,阿根廷布宜诺斯艾利斯洛斯波弗林斯”],“从属关系”:[{“raw_affilition_string”:“阿根廷布宜诺斯艾利斯Los Polvorines,J.M.Gutierrez 1150,B1613GSX\u00a0,Sarmiento国立萨米恩托大学人文研究所“,“institution_ids”:[“https://openalex.org/I35953669“]}]},{”author_position“:”last“,”author“:{”id“:”https://openalex.org/A5043146215“,”display_name“:”Pablo Solern\u00f3“,”orcid“:null},”institutions“:[{”id“:”https://openalex.org/I4210118440“,”display_name“:”Centro Cient\u00edfico Tecnol\u00f3gico-San Luis“,”ror“:”https://ror.org/02r8b4p12“,”“country_code”“:”AR“,”type“:”facility“,”lineage“:[”https://openalex.org/I151201029","https://openalex.org/I4210118440","https://openalex.org/I4210123736","https://openalex.org/I4387155568“]}],”国家“:[”AR“],”is_corresponding“:false,”raw_author_name“:”Pablo Solern\u00f3“,”raw _ afiliation_strings“:[“Instituto Matem\u00e1tico Luis Santal\u00f 3,CONICET,Buenos Aires,1428,Argentina”],“affiliations”:[{“raw_affiliation_strong”:“Instituteo Matem\ u00e1 tico Luis-Stantal\u00 f3,CONIC,Buenos-Aires,1428阿根廷“,”institution_ids“:[”https://openalex.org/I4210118440“]}]}],”institution_assertions“:[],”countries_distiction_count“:3,”institutions_disticent_count”:6,”corresponding_author_ids“:[”https://openalex.org/A5009389655“],”对应的机构ID“:[”https://openalex.org/I24354313“],”apc_list“:{”value“:2390,”currency“:”EUR“,”value_usd“:2990,”provenance“:”doaj“},”apc _payd“:null,”fwci“:2.236,”has_fulltext“:true,”fulltext_origin“:”pdf“,”cited_by_count“:17,”citation_normalized_percentile“:{”value _by_percentile_year“:{”最小值“:89,”最大值“:90},”书目“:{”volume“:”15“,”issue“:”1“,”first_page“:”159“,”last_page“:“184”},”is_retracted“:false,”is_paratext“:false,”primary_topic“:{”id“:”https://openalex.org/T11435“,”“display_name”:“代数几何和密码学中的符号计算”,“score”:0.999,“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”:0.999,“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/T11130“,”display_name“:”加密和纠错码“,”score“:0.9977,”subfield“:{”id“:”https://openalex.org/subfields/1702“,”display_name“:”人工智能“},”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/T12303“,”display_name“:”张量分解及其在多线性代数中的应用“,”score“:0.9969,”subfield“:{”id“:”https://openalex.org/subfields/2605“,”display_name“:”计算数学“},”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/关键字/退化“,”display_name“:”退化(生物学)“,”score“:0.591399},{”id“:”https://openalex.org/keywords/多项式系统“,”display_name“:”多项式系统“,”score“:0.529751},{”id“:”https://openalex.org/keywords/多元多项式“,”display_name“:”多元多项式“,”score“:0.527712},{”id“:”https://openalex.org/keywords/decoding-algorithms网站“,”display_name“:”解码算法“,”score“:0.502493},{”id“:”https://openalex.org/keywords/rank“,”display_name“:”Rank(图论)“,”score“:0.45565534}],”concepts“:[{”id“:”https://openalex.org/C33923547,“wikidata”:https://www.wikidata.org/wiki/Q395“,”display_name“:”数学“,”等级“:0,”分数“:0.8542814},{”id“:”https://openalex.org/C9019067,“wikidata”:https://www.wikidata.org/wiki/Q43260“,”display_name“:”多项式“,”level“:2,”score“:0.62238514},{”id“:”https://openalex.org/C2777727622,“wikidata”:https://www.wikidata.org/wiki/Q5251772“,”display_name“:”退化(生物学)“,”level“:2,”score“:0.591399},{”id“:”https://openalex.org/C173110770,“wikidata”:https://www.wikidata.org/wiki/Q382698“,”display_name“:”仿射空格“,”level“:3,”score“:0.55215013},{”id“:”https://openalex.org/C34388435,“wikidata”:https://www.wikidata.org/wiki/Q2267362网址“,”display_name“:”绑定函数“,”level“:2,”score“:0.5370061},{”id“:”https://openalex.org/C114614502,“wikidata”:https://www.wikidata.org/wiki/Q76592“,”display_name“:”组合数学“,”level“:1,”score“:0.4790955},{”id“:”https://openalex.org/C164226766,“wikidata”:https://www.wikidata.org/wiki/Q7293202“,”display_name“:”Rank(图论)“,”level“:2,”score“:0.45565534},{”id“:”https://openalex.org/C33676613,“wikidata”:https://www.wikidata.org/wiki/Q13415176“,”display_name“:”维度(图论)“,”level“:2,”score“:0.44207683},{”id“:”https://openalex.org/C92757383,“wikidata”:https://www.wikidata.org/wiki/Q382497“,”display_name“:”仿射变换“,”level“:2,”score“:0.40651911},{”id“:”https://openalex.org/C118615104,“wikidata”:https://www.wikidata.org/wiki/Q121416“,”display_name“:”离散数学“,”level“:1,”score“:0.37505847},{”id“:”https://openalex.org/C202444582,“wikidata”:https://www.wikidata.org/wiki/Q837863“,”display_name“:”纯数学“,”level“:1,”score“:0.3332495},{”id“:”https://openalex.org/C134306372,“wikidata”:https://www.wikidata.org/wiki/Q7754“,”display_name“:”数学分析“,”level“:1,”score“:0.20410416},{”id“:”https://openalex.org/C60644358,“wikidata”:https://www.wikidata.org/wiki/Q128570“,”display_name“:”生物信息学“,”level“:1,”score“:0.0},{”id“:”https://openalex.org/C86803240,“wikidata”:https://www.wikidata.org/wiki/Q420“,”display_name“:”Biology“,”level“:0,”score“:0.0}],”mesh“:[],”locations_count“:3,”location“:[{”is_oa“:false,”landing_page_url“:”https://doi.org/10.1007/s10208-014-9214-z“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S151639445“,”display_name“:”计算数学基础“,”issn_l“:”1615-3375“,”isn“:[”1615-33.75“,“1615-3383”],”is_oa“:false,”is-in_doaj“:false,”is_core“:true,”host_organization“:”https://openalex.org/P4310318900“,”“host_organization_name”:“Springer Science+Business Media”,“host_organization_lineage”:[“https://openalex.org/P431031965","https://openalex.org/P4310318900“],”host_organization_lineage_names“:[”Springer Nature“,”Springer Science+Business Media“],”type“:”journal“},”license“:null,”license_id“:null,”version“:null,”is_accepted“:false,”is_published“:false},{”is_oa“:true,”landing_page_url“:”http://hdl.handle.net/11336/38112,“pdf_url”:https://ri.conicet.gov.ar/bitstream/11336/38112/5/conicet_Digital_Nro.fe15271f-d6eb-4ba4-b952-16643d70e245_D.pdf,“源”:{“id”:https://openalex.org/S4306402455“,”display_name“:”CONICET Digital(CONICET)“,”issn_l“:null,”issn“:null,”is_oa“:true,”is_ in_doaj“:false,”is_core“:false,”host_organization“:”https://openalex.org/I4210148385“,”“host_organization_name”:“布宜诺斯艾利斯生物医学研究所-CONICET-马普学会合作研究所”,“host_ordanization_lineage”:[“https://openalex.org/I4210148385“],”host_organization_lineage_names“:[”布宜诺斯艾利斯生物医学研究所-CONICET-马普学会合作研究所“],“type”:“repository”},“license”:“cc-by-nc-sa”,“licence_id”:“https://openalex.org/licenses/cc-by-nc-sa“,”version“:”publishedVersion“,”is_accepted“:true,”is_published“:true},{”is_oa“:true,”landing_page_url“:”https://arxiv.org/abs/1306.3390,“pdf_url”:https://arxiv.org/pdf/1306.390,“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,”is_core“:fase,”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”:“http://hdl.handle.net/11336/38112,“pdf_url”:https://ri.conicet.gov.ar/bitstream/11336/38112/5/conicet_Digital_Nro.fe15271f-d6eb-4ba4-b952-16643d70e245_D.pdf,“源”:{“id”:https://openalex.org/S4306402455“,”display_name“:”CONICET Digital(CONICET)“,”issn_l“:null,”issn“:null,”is_oa“:true,”is_ in_doaj“:false,”is_core“:false,”host_organization“:”https://openalex.org/I4210148385“,”“host_organization_name”:“布宜诺斯艾利斯生物医学研究所-CONICET-马普学会合作研究所”,“host_ordanization_lineage”:[“https://openalex.org/I4210148385“],”host_organization_lineage_names“:[”布宜诺斯艾利斯生物医学研究所-CONICET-马普学会合作研究所“],“type”:“repository”},“license”:“cc-by-nc-sa”,“licence_id”:“https://openalex.org/licenses/cc-by-nc-sa“,”version“:”publishedVersion“,”is_accepted“:true,”is_published“:true},”sustainable_development_goals“:[],”grants“:[],”datasets“:],”versions“:[https://openalex.org/W135409917","https://openalex.org/W138638854","https://openalex.org/W1495410784","https://openalex.org/W1496428155","https://openalex.org/W1502124338","https://openalex.org/W1520114710","https://openalex.org/W1561337879","https://openalex.org/W1599026900","https://openalex.org/W1828839365","https://openalex.org/W1964605445","https://openalex.org/W1973993014","https://openalex.org/W1995925693","https://openalex.org/W1998853590","https://openalex.org/W2006394656","https://openalex.org/W2016419624","https://openalex.org/W2022078407","https://openalex.org/W2035153735","https://openalex.org/W2052147861","https://openalex.org/W2058786070","https://openalex.org/W2066787417","https://openalex.org/W2080132708","https://openalex.org/W2080589685","https://openalex.org/W2117819179","https://openalex.org/W2130918732网址","https://openalex.org/W2157536469","https://openalex.org/W2164838307","https://openalex.org/W2170793153","https://openalex.org/W290689611","https://openalex.org/W4230474807","https://openalex.org/W4244499800","https://openalex.org/W4249549360","https://openalex.org/W4285719527“],”related_works“:[”https://openalex.org/W976496805","https://openalex.org/W4376123210","https://openalex.org/W4302445854","https://openalex.org/W4247898160","https://openalex.org/W3091861551","https://openalex.org/W2063371018","https://openalex.org/W2033406617","https://openalex.org/W2026994460","https://openalex.org/W1987527829","https://openalex.org/W1593345747“],”abstract_inverted_index“:{”Let“:[0],”$$V$$“:[1,69],”be“:[2,18110],”a“:[3,19,38,56,71102130134],”smooth“,”:[4],”等维“:[5],”准仿射“:[6],”variety“:[7],”of“:[8,23,26,42,59,62,68,74,80104129133137],”dimension“:[9],”$r$$“:[10],”over“:[11,45122],“$$\\mathbb”:[12,27],“{C}$$”:[13],“,”:[14,29],“和”:[15,99125],“Let”:[16],“$$F$“:[17],”$$(p\\times“:[20],”s)$$“:[21],”matrix“:[22],”coordinate“:[24],”functions“:[25],”{C}[V]$$“:[28],”where“:[30],”$s\\ge“:[31],”p+r$“:[32],”。“:[33,51],”The“:[34,77],”pair“:[35],”$$(V,F:[49],“}F(x)=p\\}$$”:[50],“We”:[52115],“associate”:[53],“with”:-54],“descending”:57],“chain”:[58],“degeneracy”:60,82],“locts”:[61,83],“(The”:[64],“通用”:[65131],“极”:[66],“种类”:[67],“代表”:[70],“典型”:[72],“示例”:[73],“此”:[75113],“情况”)。“:[76],”最大“:[78],”次数“:[79],”这些“:[81],”构成“:[84],”the“:[85,89121327],”本质“:[86],”成分“:[87],”for“:[88],”均匀“:[90],”有界误差“:[91],”概率“:[92],”伪多项式时间“:[93],”算法“:[94],”that“:[9510008],”we“:[96],”will“:[97],”design“:[98],“求解”:[101],“系列”:[103],“计算”:[105],“消除”:[106],“问题”:[107],“can”:[109],“公式化”:[111],“in”:[112],“框架”:[114],“描述”:[116],“应用”:[117],“to”:[11126],“多项式”:[119],“方程”:[120],“求解”:[121],“实数”:[124],“计算”:[128],“纤维”:[132],“显性”:[135],“自同态”:[136],“an”:[138],“仿射e“:[139],”空格。“:[140]},”cited_by_api_url“:”https://api.openalex.org/works?filter=cites:W1991675728“,”“counts_by_year”:[{“年份”:2023,”“cited_by_count”:2},{“年”:2021,”“cited_by_cunt”:3},}“年“:2020,”“cited_by-count”“:2},{”“年”“:2019,”“:2014,”cited_by_count“:1},{“年份”:2013,”cited_by_count”:1}],”updated_date“:”2024-09-19T05:48:25.837841“,”创建日期“:”2016-06-24“}