乐胖代购免代理版

{"id":"https://openalex.org/W1974806647","doi":"https://doi.org/10.1090/s0025-5718-09-02239-x","title":"Galois groups of Schubert problems via homotopy computation","display_name":"Galois groups of Schubert problems via homotopy computation","publication_year":2009,"publication_date":"2009-04-27","ids":{"openalex":"https://openalex.org/W1974806647","doi":"https://doi.org/10.1090/s0025-5718-09-02239-x","mag":"1974806647"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-09-02239-x","pdf_url":"https://www.ams.org/mcom/2009-78-267/S0025-5718-09-02239-X/S0025-5718-09-02239-X.pdf","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_indexed_in_scopus":true,"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":"public-domain","license_id":"https://openalex.org/licenses/public-domain","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://www.ams.org/mcom/2009-78-267/S0025-5718-09-02239-X/S0025-5718-09-02239-X.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016852571","display_name":"Anton Leykin","orcid":"https://orcid.org/0000-0002-9216-3514"},"institutions":[{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Anton Leykin","raw_affiliation_strings":["Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago, 851 S. Morgan Street (M/C 249), Chicago, Illinois 60607-7045"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago, 851 S. Morgan Street (M/C 249), Chicago, Illinois 60607-7045","institution_ids":["https://openalex.org/I39422238"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078229263","display_name":"Frank Sottile","orcid":"https://orcid.org/0000-0003-0087-7120"},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Frank Sottile","raw_affiliation_strings":["Department of Mathematics , Texas A&M University , College Station, Texas, 77843"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Texas A&M University , College Station, Texas, 77843","institution_ids":["https://openalex.org/I91045830"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.806,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":52,"citation_normalized_percentile":{"value":0.948326,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":95},"biblio":{"volume":"78","issue":"267","first_page":"1749","last_page":"1765"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9998,"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":0.9998,"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9958,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9935,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/schubert-calculus","display_name":"Schubert Calculus","score":0.5868531},{"id":"https://openalex.org/keywords/continuation","display_name":"Continuation","score":0.44588742}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.90945995},{"id":"https://openalex.org/C67536143","wikidata":"https://www.wikidata.org/wiki/Q730384","display_name":"Galois group","level":2,"score":0.6786625},{"id":"https://openalex.org/C169843257","wikidata":"https://www.wikidata.org/wiki/Q7432936","display_name":"Schubert calculus","level":3,"score":0.5868531},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.58403045},{"id":"https://openalex.org/C147688034","wikidata":"https://www.wikidata.org/wiki/Q1626416","display_name":"Homotopy group","level":3,"score":0.5766146},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.49339977},{"id":"https://openalex.org/C191752858","wikidata":"https://www.wikidata.org/wiki/Q6358325","display_name":"n-connected","level":3,"score":0.46210206},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4573753},{"id":"https://openalex.org/C88626702","wikidata":"https://www.wikidata.org/wiki/Q1128903","display_name":"Continuation","level":2,"score":0.44588742},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.43424994},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.42747957},{"id":"https://openalex.org/C94398972","wikidata":"https://www.wikidata.org/wiki/Q92552","display_name":"Galois theory","level":2,"score":0.42512947},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4223555},{"id":"https://openalex.org/C197968787","wikidata":"https://www.wikidata.org/wiki/Q2383624","display_name":"Differential Galois theory","level":4,"score":0.4144947},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22054303},{"id":"https://openalex.org/C35435516","wikidata":"https://www.wikidata.org/wiki/Q5370016","display_name":"Embedding problem","level":3,"score":0.19577497},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.05777675},{"id":"https://openalex.org/C162929932","wikidata":"https://www.wikidata.org/wiki/Q129638","display_name":"Grassmannian","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-09-02239-x","pdf_url":"https://www.ams.org/mcom/2009-78-267/S0025-5718-09-02239-X/S0025-5718-09-02239-X.pdf","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_indexed_in_scopus":true,"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":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"publishedVersion","is_accepted":true,"is_published":true},{"is_oa":true,"landing_page_url":"http://arxiv.org/abs/0710.4607","pdf_url":"http://arxiv.org/pdf/0710.4607","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-09-02239-x","pdf_url":"https://www.ams.org/mcom/2009-78-267/S0025-5718-09-02239-X/S0025-5718-09-02239-X.pdf","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_indexed_in_scopus":true,"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":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":25,"referenced_works":["https://openalex.org/W1532548280","https://openalex.org/W1534795928","https://openalex.org/W1537426722","https://openalex.org/W1569836199","https://openalex.org/W1638507749","https://openalex.org/W1862515573","https://openalex.org/W18833213","https://openalex.org/W1974585479","https://openalex.org/W1998488052","https://openalex.org/W2005898881","https://openalex.org/W2028576930","https://openalex.org/W2041734651","https://openalex.org/W2042438690","https://openalex.org/W2048002525","https://openalex.org/W2072691921","https://openalex.org/W2087834874","https://openalex.org/W2089003198","https://openalex.org/W2109001550","https://openalex.org/W2109596995","https://openalex.org/W2158358539","https://openalex.org/W2233474732","https://openalex.org/W2318524654","https://openalex.org/W2594566473","https://openalex.org/W3037431907","https://openalex.org/W48073001"],"related_works":["https://openalex.org/W630499370","https://openalex.org/W4299884972","https://openalex.org/W4251794417","https://openalex.org/W329225561","https://openalex.org/W3143684219","https://openalex.org/W3118168697","https://openalex.org/W2899204428","https://openalex.org/W2730690530","https://openalex.org/W2591986895","https://openalex.org/W2066449478"],"abstract_inverted_index":{"Numerical":[0],"homotopy":[1,27],"continuation":[2,28],"of":[3,22,36,55,59],"solutions":[4],"to":[5,29],"polynomial":[6],"equations":[7],"is":[8,69],"the":[9,31,41,52,56,70],"foundation":[10],"for":[11],"numerical":[12,26],"algebraic":[13],"geometry,":[14],"whose":[15],"development":[16],"has":[17],"been":[18],"driven":[19],"by":[20,48],"applications":[21],"mathematics.":[23],"We":[24],"use":[25],"investigate":[30],"problem":[32,58],"in":[33,40,61],"pure":[34],"mathematics":[35],"determining":[37],"Galois":[38,53],"groups":[39],"Schubert":[42,57],"calculus.":[43],"For":[44],"example,":[45],"we":[46],"show":[47],"direct":[49],"computation":[50],"that":[51],"group":[54,73],"3-planes":[60],"$\\mathbb":[62],"{C}^8$":[63],"meeting":[64],"15":[65],"fixed":[66],"5-planes":[67],"non-trivially":[68],"full":[71],"symmetric":[72],"$S_{6006}$.":[74]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W1974806647","counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":7}],"updated_date":"2025-01-18T19:18:04.383302","created_date":"2016-06-24"}