{"id":"https://openalex.org/W2744263325","doi":"https://doi.org/10.1142/s0218196717500333","title":"Homaloidal nets and ideals of fat points II: Subhomaloidal nets","display_name":"Homaloidal nets and ideals of fat points II: Subhomaloidal nets","publication_year":2017,"publication_date":"2017-08-07","ids":{"openalex":"https://openalex.org/W2744263325","doi":"https://doi.org/10.1142/s0218196717500333","mag":"2744263325"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196717500333","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196717500333","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"},"type":"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/A5019956028","display_name":"Zaqueu Ramos","orcid":null},"institutions":[{"id":"https://openalex.org/I190085865","display_name":"Universidade Federal de Sergipe","ror":"https://ror.org/028ka0n85","country_code":"BR","type":"education","lineage":["https://openalex.org/I190085865"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Zaqueu Ramos","raw_affiliation_strings":["Departamento de Matem\u00e1tica, CCET, Universidade, Federal de Sergipe, 49100-000 S\u00e3o Cristov\u00e3o, Sergipe, Brazil"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, CCET, Universidade, Federal de Sergipe, 49100-000 S\u00e3o Cristov\u00e3o, Sergipe, Brazil","institution_ids":["https://openalex.org/I190085865"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017287962","display_name":"Aron Simis","orcid":"https://orcid.org/0000-0002-2848-8509"},"institutions":[{"id":"https://openalex.org/I25112270","display_name":"Universidade Federal de Pernambuco","ror":"https://ror.org/047908t24","country_code":"BR","type":"education","lineage":["https://openalex.org/I25112270"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Aron Simis","raw_affiliation_strings":["Departamento de Matem\u00e1tica, CCEN, Universidade, Federal de Pernambuco, 50740-560 Recife, PE, Brazil"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, CCEN, Universidade, Federal de Pernambuco, 50740-560 Recife, PE, Brazil","institution_ids":["https://openalex.org/I25112270"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5019956028"],"corresponding_institution_ids":["https://openalex.org/I190085865"],"apc_list":null,"apc_paid":null,"fwci":1.7283,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.82881434,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"27","issue":"06","first_page":"677","last_page":"715"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9998999834060669,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9948999881744385,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9937000274658203,"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/mathematics","display_name":"Mathematics","score":0.8762451410293579},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.8039876818656921},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.558074414730072},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4850689470767975},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.45745718479156494},{"id":"https://openalex.org/keywords/expressive-power","display_name":"Expressive power","score":0.4433787167072296},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.40315374732017517},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3818269371986389},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.11129212379455566},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07833680510520935},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07707929611206055},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.05681619048118591}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8762451410293579},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.8039876818656921},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.558074414730072},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4850689470767975},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.45745718479156494},{"id":"https://openalex.org/C195818886","wikidata":"https://www.wikidata.org/wiki/Q5421724","display_name":"Expressive power","level":2,"score":0.4433787167072296},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.40315374732017517},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3818269371986389},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.11129212379455566},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07833680510520935},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07707929611206055},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.05681619048118591},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196717500333","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196717500333","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W631862735","https://openalex.org/W646826862","https://openalex.org/W1500944529","https://openalex.org/W1582144325","https://openalex.org/W1608248973","https://openalex.org/W1987882048","https://openalex.org/W1989164877","https://openalex.org/W2002557952","https://openalex.org/W2011201737","https://openalex.org/W2044125232","https://openalex.org/W2044644532","https://openalex.org/W2064254069","https://openalex.org/W2067872731","https://openalex.org/W2084898900","https://openalex.org/W2133775771","https://openalex.org/W2138486243","https://openalex.org/W2153702782","https://openalex.org/W2161207096","https://openalex.org/W2244087208","https://openalex.org/W2604430045","https://openalex.org/W2962797250","https://openalex.org/W2963114443","https://openalex.org/W2963388287","https://openalex.org/W2963753721","https://openalex.org/W3098472376","https://openalex.org/W3105072807"],"related_works":["https://openalex.org/W2590472383","https://openalex.org/W2383873009","https://openalex.org/W2393580911","https://openalex.org/W2212184297","https://openalex.org/W3207130397","https://openalex.org/W3156456913","https://openalex.org/W2390945180","https://openalex.org/W2394052932","https://openalex.org/W156623692","https://openalex.org/W2351798159"],"abstract_inverted_index":{"This":[0,120],"work":[1],"is":[2],"a":[3,7,51,60,73,134],"natural":[4],"sequel":[5],"to":[6,94,124],"previous":[8],"paper":[9],"by":[10,106,131],"the":[11,19,26,42,64,69,77,81,84,125,137],"authors":[12],"in":[13,122],"that":[14],"it":[15],"tackles":[16],"problems":[17],"of":[18,32,35,50,63,76,83,89,108,127,136],"same":[20],"nature.":[21],"Here,":[22],"one":[23,58],"aims":[24],"at":[25,68],"ideal":[27,34],"theoretic":[28],"and":[29,115],"homological":[30],"properties":[31],"an":[33],"general":[36],"plane":[37],"fat":[38],"points":[39],"for":[40],"which":[41],"corresponding":[43],"second":[44],"symbolic":[45],"power":[46],"has":[47,103],"virtual":[48],"multiplicities":[49],"proper":[52],"homaloidal":[53],"type.":[54],"For":[55],"this":[56],"purpose,":[57],"carries":[59],"detailed":[61],"examination":[62],"underlying":[65],"linear":[66,101],"system":[67],"initial":[70,100],"degree,":[71],"where":[72],"good":[74],"deal":[75],"results":[78],"depends":[79],"on":[80],"method":[82],"classical":[85],"arithmetic":[86],"quadratic":[87],"transformations":[88],"Hudson\u2013Nagata.":[90],"A":[91],"subsidiary":[92],"guide":[93],"understand":[95],"these":[96],"ideals":[97],"through":[98],"their":[99],"systems":[102],"been":[104],"supplied":[105],"questions":[107],"birationality":[109],"with":[110],"source":[111],"[Formula:":[112],"see":[113],"text]":[114],"target":[116],"higher":[117],"dimensional":[118],"spaces.":[119],"leads,":[121],"particular,":[123],"retrieval":[126],"birational":[128],"maps":[129],"studied":[130],"Geramita\u2013Gimigliano\u2013Pitteloud,":[132],"including":[133],"few":[135],"celebrated":[138],"Bordiga\u2013White":[139],"parameterizations.":[140]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}