乐胖代购免代理版

{"id":"https://openalex.org/W1984715452","doi":"https://doi.org/10.1145/1576702.1576735","title":"Principal intersection and bernstein-sato polynomial of an affine variety","display_name":"Principal intersection and bernstein-sato polynomial of an affine variety","publication_year":2009,"publication_date":"2009-07-28","ids":{"openalex":"https://openalex.org/W1984715452","doi":"https://doi.org/10.1145/1576702.1576735","mag":"1984715452"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1145/1576702.1576735","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"proceedings-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/A5010446090","display_name":"Daniel de Andr\u00e9s","orcid":"https://orcid.org/0000-0003-4102-0991"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Daniel Andres","raw_affiliation_strings":["RWTH-Aachen University, Aachen, Germany."],"affiliations":[{"raw_affiliation_string":"RWTH-Aachen University, Aachen, Germany.","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059697607","display_name":"Viktor Levandovskyy","orcid":null},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Viktor Levandovskyy","raw_affiliation_strings":["RWTH-Aachen University, Aachen, Germany."],"affiliations":[{"raw_affiliation_string":"RWTH-Aachen University, Aachen, Germany.","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068174540","display_name":"Jorge Mart\u00edn Morales","orcid":null},"institutions":[{"id":"https://openalex.org/I255234318","display_name":"Universidad de Zaragoza","ror":"https://ror.org/012a91z28","country_code":"ES","type":"education","lineage":["https://openalex.org/I255234318"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Jorge Mart\u00edn Morales","raw_affiliation_strings":["University of Zaragoza, Zaragoza (Spain)"],"affiliations":[{"raw_affiliation_string":"University of Zaragoza, Zaragoza (Spain)","institution_ids":["https://openalex.org/I255234318"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.156,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.741052,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":85,"max":86},"biblio":{"volume":null,"issue":null,"first_page":"231","last_page":"238"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Symbolic Computing in Algebraic Geometry and Cryptography","score":0.9991,"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":"Symbolic Computing in Algebraic Geometry and Cryptography","score":0.9991,"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":"Monomial Ideals and Algebraic Properties","score":0.9975,"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":"Isogeometric Analysis in Computational Engineering","score":0.9933,"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/gr\u00f6bner-basis","display_name":"Gr\u00f6bner basis","score":0.5398042},{"id":"https://openalex.org/keywords/intersection-theory","display_name":"Intersection Theory","score":0.505053},{"id":"https://openalex.org/keywords/bernstein-polynomial","display_name":"Bernstein polynomial","score":0.43635464}],"concepts":[{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.61137354},{"id":"https://openalex.org/C198082693","wikidata":"https://www.wikidata.org/wiki/Q1551631","display_name":"Gr\u00f6bner basis","level":3,"score":0.5398042},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5181507},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.4794256},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.46501213},{"id":"https://openalex.org/C67996461","wikidata":"https://www.wikidata.org/wiki/Q629933","display_name":"Subalgebra","level":3,"score":0.45090926},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4497261},{"id":"https://openalex.org/C34179328","wikidata":"https://www.wikidata.org/wiki/Q826841","display_name":"Bernstein polynomial","level":2,"score":0.43635464},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.42569965},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.42521292},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34085214},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3244854},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.23500124},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1145/1576702.1576735","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":15,"referenced_works":["https://openalex.org/W1594931873","https://openalex.org/W1596655614","https://openalex.org/W165259598","https://openalex.org/W1975573855","https://openalex.org/W2005302954","https://openalex.org/W2009520459","https://openalex.org/W2012665002","https://openalex.org/W2024136828","https://openalex.org/W2059522106","https://openalex.org/W2070295790","https://openalex.org/W2090397743","https://openalex.org/W2092680457","https://openalex.org/W2107611942","https://openalex.org/W2883466814","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4327856465","https://openalex.org/W4245365776","https://openalex.org/W4206261526","https://openalex.org/W3162124064","https://openalex.org/W2953857700","https://openalex.org/W2952826522","https://openalex.org/W2756546235","https://openalex.org/W2171772926","https://openalex.org/W2057168606","https://openalex.org/W1670763528"],"abstract_inverted_index":{"We":[0,28,67],"present":[1,69],"a":[2,10,18,21,25,61,70,91,107],"general":[3],"algorithm":[4,33,49,96],"for":[5,54,77,99],"computing":[6,55],"an":[7,14,85],"intersection":[8],"of":[9,13,31,60,80,84,94,102,106],"left":[11],"ideal":[12],"associative":[15],"algebra":[16],"over":[17],"field":[19],"with":[20,64],"subalgebra,":[22],"generated":[23],"by":[24,97],"single":[26,62],"element.":[27],"show":[29],"applications":[30],"this":[32,48],"in":[34,42,50],"different":[35],"algebraic":[36],"situations":[37],"and":[38],"describe":[39],"our":[40],"implementation":[41],"Singular.":[43],"Among":[44],"other,":[45],"we":[46,89],"use":[47],"computational":[51],"D-module":[52],"theory":[53],"e.g.":[56],"the":[57,78,81,95,100,103],"Bernstein-Sato":[58,82],"polynomial":[59,63,83],"several":[65],"approaches.":[66],"also":[68],"new":[71,92],"method,":[72],"having":[73],"no":[74],"analogues":[75],"yet,":[76],"computation":[79,101],"affine":[86],"variety.":[87],"Also,":[88],"provide":[90],"proof":[93],"Brian\u00e7on-Maisonobe":[98],"s-parametric":[104],"annihilator":[105],"polynomial.":[108]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W1984715452","counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2024-11-23T02:56:45.963590","created_date":"2016-06-24"}