{"id":"https://openalex.org/W2054007700","doi":"https://doi.org/10.1142/s0218196710005972","title":"A FIRST APPROACH TOWARDS NORMAL PARAMETRIZATIONS OF ALGEBRAIC SURFACES","display_name":"A FIRST APPROACH TOWARDS NORMAL PARAMETRIZATIONS OF ALGEBRAIC SURFACES","publication_year":2010,"publication_date":"2010-12-01","ids":{"openalex":"https://openalex.org/W2054007700","doi":"https://doi.org/10.1142/s0218196710005972","mag":"2054007700"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196710005972","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196710005972","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":true,"oa_status":"green","oa_url":"https://ebuah.uah.es/dspace/bitstream/10017/49610/3/A_First_Perez_Int_J_Algebra_Comput_2010.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031696800","display_name":"Sonia P\u00e9rez-D\u0131\u0301az","orcid":"https://orcid.org/0000-0002-0174-5325"},"institutions":[{"id":"https://openalex.org/I189268942","display_name":"Universidad de Alcal\u00e1","ror":"https://ror.org/04pmn0e78","country_code":"ES","type":"education","lineage":["https://openalex.org/I189268942"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"S. P\u00c9REZ-D\u00cdAZ","raw_affiliation_strings":["Dpto. de Matem\u00e1ticas, Facultad de Ciencias, Universidad de Alcal\u00e1, Madrid, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dpto. de Matem\u00e1ticas, Facultad de Ciencias, Universidad de Alcal\u00e1, Madrid, Spain","institution_ids":["https://openalex.org/I189268942"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073162772","display_name":"J. Rafael Sendra","orcid":"https://orcid.org/0000-0003-2568-1159"},"institutions":[{"id":"https://openalex.org/I189268942","display_name":"Universidad de Alcal\u00e1","ror":"https://ror.org/04pmn0e78","country_code":"ES","type":"education","lineage":["https://openalex.org/I189268942"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J. R. SENDRA","raw_affiliation_strings":["Dpto. de Matem\u00e1ticas, Facultad de Ciencias, Universidad de Alcal\u00e1, Madrid, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dpto. de Matem\u00e1ticas, Facultad de Ciencias, Universidad de Alcal\u00e1, Madrid, Spain","institution_ids":["https://openalex.org/I189268942"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010581856","display_name":"Carlos Villarino","orcid":"https://orcid.org/0000-0003-3101-3245"},"institutions":[{"id":"https://openalex.org/I189268942","display_name":"Universidad de Alcal\u00e1","ror":"https://ror.org/04pmn0e78","country_code":"ES","type":"education","lineage":["https://openalex.org/I189268942"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"C. VILLARINO","raw_affiliation_strings":["Dpto. de Matem\u00e1ticas, Facultad de Ciencias, Universidad de Alcal\u00e1, Madrid, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dpto. de Matem\u00e1ticas, Facultad de Ciencias, Universidad de Alcal\u00e1, Madrid, Spain","institution_ids":["https://openalex.org/I189268942"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5031696800"],"corresponding_institution_ids":["https://openalex.org/I189268942"],"apc_list":null,"apc_paid":null,"fwci":0.6881,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.72894664,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"20","issue":"08","first_page":"977","last_page":"990"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9980000257492065,"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"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9980000257492065,"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"}},{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9932000041007996,"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/T12504","display_name":"Mathematics and Applications","score":0.9927999973297119,"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/normality","display_name":"Normality","score":0.8828722834587097},{"id":"https://openalex.org/keywords/parametrization","display_name":"Parametrization (atmospheric modeling)","score":0.8187096118927002},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7930583953857422},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5544787049293518},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5471708178520203},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.48114216327667236},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.473666250705719},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.4315788149833679},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3945649564266205},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3235437273979187},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17593824863433838},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16387724876403809},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.094540536403656},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06842002272605896},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06445154547691345}],"concepts":[{"id":"https://openalex.org/C2776157432","wikidata":"https://www.wikidata.org/wiki/Q1375683","display_name":"Normality","level":2,"score":0.8828722834587097},{"id":"https://openalex.org/C202887219","wikidata":"https://www.wikidata.org/wiki/Q3895221","display_name":"Parametrization (atmospheric modeling)","level":3,"score":0.8187096118927002},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7930583953857422},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5544787049293518},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5471708178520203},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.48114216327667236},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.473666250705719},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.4315788149833679},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3945649564266205},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3235437273979187},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17593824863433838},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16387724876403809},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.094540536403656},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06842002272605896},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06445154547691345},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C74902906","wikidata":"https://www.wikidata.org/wiki/Q1190858","display_name":"Radiative transfer","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218196710005972","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196710005972","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"},{"id":"pmh:oai:ebuah.uah.es:10017/49610","is_oa":true,"landing_page_url":"http://hdl.handle.net/10017/49610","pdf_url":"https://ebuah.uah.es/dspace/bitstream/10017/49610/3/A_First_Perez_Int_J_Algebra_Comput_2010.pdf","source":{"id":"https://openalex.org/S7407055200","display_name":"e_Buah","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/acceptedVersion"}],"best_oa_location":{"id":"pmh:oai:ebuah.uah.es:10017/49610","is_oa":true,"landing_page_url":"http://hdl.handle.net/10017/49610","pdf_url":"https://ebuah.uah.es/dspace/bitstream/10017/49610/3/A_First_Perez_Int_J_Algebra_Comput_2010.pdf","source":{"id":"https://openalex.org/S7407055200","display_name":"e_Buah","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/acceptedVersion"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4229769528","display_name":null,"funder_award_id":"MTM2008-04699-C03-01","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"}],"funders":[{"id":"https://openalex.org/F4320322930","display_name":"Ministerio de Ciencia e Innovaci\u00f3n","ror":"https://ror.org/034900433"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2054007700.pdf","grobid_xml":"https://content.openalex.org/works/W2054007700.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W23879940","https://openalex.org/W1984258784","https://openalex.org/W2027351807","https://openalex.org/W2042712358","https://openalex.org/W2070289896","https://openalex.org/W2093473068","https://openalex.org/W2114788602","https://openalex.org/W2139009791","https://openalex.org/W2406129278","https://openalex.org/W4206293930","https://openalex.org/W4250501683","https://openalex.org/W4292096448","https://openalex.org/W4300076833"],"related_works":["https://openalex.org/W2153421756","https://openalex.org/W4239315977","https://openalex.org/W4321650139","https://openalex.org/W2077818434","https://openalex.org/W2054489697","https://openalex.org/W2361081803","https://openalex.org/W1999239650","https://openalex.org/W2169275958","https://openalex.org/W2003241457","https://openalex.org/W4236175025"],"abstract_inverted_index":{"In":[0,49],"this":[1,72,87],"paper":[2],"we":[3,74,89,108,117,156],"analyze":[4],"the":[5,9,12,91,114,162],"problem":[6,25],"of":[7,14,18,31,93,135,154],"deciding":[8,113,161],"normality":[10],"(i.e.":[11],"surjectivity)":[13],"a":[15,19,36,95,102,124,131],"rational":[16],"parametrization":[17,103,126],"surface":[20],"[Formula:":[21,40,57,83],"see":[22,41,58,84],"text].":[23,85],"The":[24],"can":[26],"be":[27,47,128,140],"approached":[28],"by":[29,71],"means":[30],"elimination":[32],"theory":[33],"techniques,":[34],"providing":[35],"proper":[37],"close":[38],"subset":[39],"text]":[42,59],"where":[43],"surjectivity":[44],"needs":[45],"to":[46,68,127,139],"analyzed.":[48],"general,":[50],"these":[51],"direct":[52],"approaches":[53],"are":[54,137,148],"unfeasible":[55],"because":[56],"is":[60],"very":[61],"complicated":[62],"and":[63,120],"its":[64],"elements":[65],"computationally":[66],"hard":[67],"manipulate.":[69],"Motivated":[70],"fact,":[73],"study":[75],"ad":[76],"hoc":[77],"computational":[78],"alternative":[79],"methods":[80],"that":[81,97],"simplifies":[82],"For":[86,143],"goal,":[88],"introduce":[90],"notion":[92],"pseudo-normality,":[94],"concept":[96],"provides":[98],"necessary":[99,119],"conditions":[100,122],"for":[101,104,112,151,160],"being":[105],"normal.":[106,129,142,149],"Also,":[107],"provide":[109],"an":[110,158],"algorithm":[111,159],"pseudo-normality.":[115],"Finally,":[116],"state":[118],"sufficient":[121],"on":[123],"pseudo-normal":[125,145],"As":[130],"consequence,":[132],"certain":[133,152],"types":[134],"parametrizations":[136,147],"shown":[138],"always":[141],"instance,":[144],"polynomial":[146],"Moreover,":[150],"class":[153],"parametrizations,":[155],"derive":[157],"normality.":[163]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
