{"id":"https://openalex.org/W2155447353","doi":"https://doi.org/10.1112/s1461157000000991","title":"Computation of Sets of Rational Points of Genus-3 Curves via the Dem'Janenko\u2013Manin Method","display_name":"Computation of Sets of Rational Points of Genus-3 Curves via the Dem'Janenko\u2013Manin Method","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W2155447353","doi":"https://doi.org/10.1112/s1461157000000991","mag":"2155447353"},"language":"en","primary_location":{"id":"doi:10.1112/s1461157000000991","is_oa":true,"landing_page_url":"https://doi.org/10.1112/s1461157000000991","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/9C0415EF619474507379844F76E6DF84/S1461157000000991a.pdf/div-class-title-computation-of-sets-of-rational-points-of-genus-3-curves-via-the-dem-janenko-manin-method-div.pdf","source":{"id":"https://openalex.org/S118668765","display_name":"LMS Journal of Computation and Mathematics","issn_l":"1461-1570","issn":["1461-1570"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311874","host_organization_name":"London Mathematical Society","host_organization_lineage":["https://openalex.org/P4310311874"],"host_organization_lineage_names":["London Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"LMS Journal of Computation and Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/9C0415EF619474507379844F76E6DF84/S1461157000000991a.pdf/div-class-title-computation-of-sets-of-rational-points-of-genus-3-curves-via-the-dem-janenko-manin-method-div.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031170235","display_name":"Martine Girard","orcid":null},"institutions":[{"id":"https://openalex.org/I129604602","display_name":"The University of Sydney","ror":"https://ror.org/0384j8v12","country_code":"AU","type":"education","lineage":["https://openalex.org/I129604602"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Martine Girard","raw_affiliation_strings":["School of Mathematics and Statistics, University of Sydney NSW 2006, Australia","School of Mathematics and Statistics, University of Sydney NSW 2006, Australia, girard@maths.usyd.edu.au, http/www.maths.usyd.edu.au/u/girard"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, University of Sydney NSW 2006, Australia","institution_ids":["https://openalex.org/I129604602"]},{"raw_affiliation_string":"School of Mathematics and Statistics, University of Sydney NSW 2006, Australia, girard@maths.usyd.edu.au, http/www.maths.usyd.edu.au/u/girard","institution_ids":["https://openalex.org/I129604602"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080995924","display_name":"Leopoldo Kulesz","orcid":null},"institutions":[{"id":"https://openalex.org/I35953669","display_name":"National University of General Sarmiento","ror":"https://ror.org/01k6h2m87","country_code":"AR","type":"education","lineage":["https://openalex.org/I35953669"]}],"countries":["AR"],"is_corresponding":false,"raw_author_name":"Leopoldo Kulesz","raw_affiliation_strings":["Instituto de Desarollo Humano, Universidad National de General Sarmiento, Roca 850 San Miguel, Pcia. de Buenos Aires. 1663, Argentina","Instituto de Desarollo Humano, Universidad National de General Sarmiento, Roca 850 San Miguel, Pcia. de Buenos Aires. 1663, Argentina, lk@delzorzal.com.ar"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Desarollo Humano, Universidad National de General Sarmiento, Roca 850 San Miguel, Pcia. de Buenos Aires. 1663, Argentina","institution_ids":["https://openalex.org/I35953669"]},{"raw_affiliation_string":"Instituto de Desarollo Humano, Universidad National de General Sarmiento, Roca 850 San Miguel, Pcia. de Buenos Aires. 1663, Argentina, lk@delzorzal.com.ar","institution_ids":["https://openalex.org/I35953669"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5031170235"],"corresponding_institution_ids":["https://openalex.org/I129604602"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.19587852,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"8","issue":null,"first_page":"267","last_page":"300"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9995999932289124,"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"}},{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9993000030517578,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9972000122070312,"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/mathematics","display_name":"Mathematics","score":0.8685858249664307},{"id":"https://openalex.org/keywords/morphism","display_name":"Morphism","score":0.6326042413711548},{"id":"https://openalex.org/keywords/genus","display_name":"Genus","score":0.628404974937439},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5724412798881531},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.5206498503684998},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.508918046951294},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4831194579601288},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.42549100518226624},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3580682873725891},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.28084224462509155},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1406862735748291},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09380877017974854}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8685858249664307},{"id":"https://openalex.org/C137212723","wikidata":"https://www.wikidata.org/wiki/Q1948412","display_name":"Morphism","level":2,"score":0.6326042413711548},{"id":"https://openalex.org/C157369684","wikidata":"https://www.wikidata.org/wiki/Q34740","display_name":"Genus","level":2,"score":0.628404974937439},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5724412798881531},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.5206498503684998},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.508918046951294},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4831194579601288},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.42549100518226624},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3580682873725891},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.28084224462509155},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1406862735748291},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09380877017974854},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","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},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1112/s1461157000000991","is_oa":true,"landing_page_url":"https://doi.org/10.1112/s1461157000000991","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/9C0415EF619474507379844F76E6DF84/S1461157000000991a.pdf/div-class-title-computation-of-sets-of-rational-points-of-genus-3-curves-via-the-dem-janenko-manin-method-div.pdf","source":{"id":"https://openalex.org/S118668765","display_name":"LMS Journal of Computation and Mathematics","issn_l":"1461-1570","issn":["1461-1570"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311874","host_organization_name":"London Mathematical Society","host_organization_lineage":["https://openalex.org/P4310311874"],"host_organization_lineage_names":["London Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"LMS Journal of Computation and Mathematics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1112/s1461157000000991","is_oa":true,"landing_page_url":"https://doi.org/10.1112/s1461157000000991","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/9C0415EF619474507379844F76E6DF84/S1461157000000991a.pdf/div-class-title-computation-of-sets-of-rational-points-of-genus-3-curves-via-the-dem-janenko-manin-method-div.pdf","source":{"id":"https://openalex.org/S118668765","display_name":"LMS Journal of Computation and Mathematics","issn_l":"1461-1570","issn":["1461-1570"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311874","host_organization_name":"London Mathematical Society","host_organization_lineage":["https://openalex.org/P4310311874"],"host_organization_lineage_names":["London Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"LMS Journal of Computation and Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320929","display_name":"Universiteit Leiden","ror":"https://ror.org/027bh9e22"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2155447353.pdf","grobid_xml":"https://content.openalex.org/works/W2155447353.grobid-xml"},"referenced_works_count":40,"referenced_works":["https://openalex.org/W100965798","https://openalex.org/W137149156","https://openalex.org/W1486898453","https://openalex.org/W1507434561","https://openalex.org/W1507575253","https://openalex.org/W1516318957","https://openalex.org/W1544986807","https://openalex.org/W1545525543","https://openalex.org/W1586175698","https://openalex.org/W1586485728","https://openalex.org/W1750479067","https://openalex.org/W1793915145","https://openalex.org/W1972411183","https://openalex.org/W1979415908","https://openalex.org/W1984722652","https://openalex.org/W1992638917","https://openalex.org/W1993772258","https://openalex.org/W1995002230","https://openalex.org/W2004359696","https://openalex.org/W2006264362","https://openalex.org/W2038383731","https://openalex.org/W2045428835","https://openalex.org/W2045488833","https://openalex.org/W2049806477","https://openalex.org/W2078035743","https://openalex.org/W2090317581","https://openalex.org/W2131005372","https://openalex.org/W2141416481","https://openalex.org/W2145391576","https://openalex.org/W2291667205","https://openalex.org/W2324471792","https://openalex.org/W2506597894","https://openalex.org/W2596415973","https://openalex.org/W4229633778","https://openalex.org/W4235527256","https://openalex.org/W4243547209","https://openalex.org/W6604102634","https://openalex.org/W6681529763","https://openalex.org/W6696710520","https://openalex.org/W6724937214"],"related_works":["https://openalex.org/W2952244080","https://openalex.org/W1481670130","https://openalex.org/W856865640","https://openalex.org/W2768503191","https://openalex.org/W2139158010","https://openalex.org/W2328639173","https://openalex.org/W26434650","https://openalex.org/W1888039291","https://openalex.org/W1944395271","https://openalex.org/W2336546597"],"abstract_inverted_index":{"Abstract":[0],"The":[1],"authors":[2],"construct":[3],"two":[4],"families":[5],"of":[6,23,32,35,45,51,59,62],"genus-3":[7],"curves":[8,53],"defined":[9],"over":[10],"Q":[11],"(":[12],"t":[13,48],")":[14],"with":[15],"three":[16],"independent":[17],"morphisms":[18],"to":[19],"an":[20,33],"elliptic":[21],"curve":[22],"rank":[24],"at":[25],"most":[26],"two.":[27],"They":[28],"give":[29],"explicit":[30],"examples":[31],"application":[34],"the":[36,43,46,52,57],"Dem'janenko-Manin":[37],"method":[38],"that":[39],"completely":[40],"determines":[41],"both":[42],"set":[44,58],"Q(":[47],")-rational":[49],"points":[50,61],"under":[54],"consideration,":[55],"and":[56],"Q-rational":[60],"some":[63],"specialisations.":[64]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}
