{"id":"https://openalex.org/W2160834277","doi":"https://doi.org/10.1112/s146115701400031x","title":"Parametrizing the moduli space of curves and applications to smooth plane quartics over finite fields","display_name":"Parametrizing the moduli space of curves and applications to smooth plane quartics over finite fields","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2160834277","doi":"https://doi.org/10.1112/s146115701400031x","mag":"2160834277"},"language":"en","primary_location":{"id":"doi:10.1112/s146115701400031x","is_oa":true,"landing_page_url":"https://doi.org/10.1112/s146115701400031x","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/273C6154AB3252CC69BA1BD66FFF28A3/S146115701400031Xa.pdf/div-class-title-parametrizing-the-moduli-space-of-curves-and-applications-to-smooth-plane-quartics-over-finite-fields-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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/273C6154AB3252CC69BA1BD66FFF28A3/S146115701400031Xa.pdf/div-class-title-parametrizing-the-moduli-space-of-curves-and-applications-to-smooth-plane-quartics-over-finite-fields-div.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Reynald Lercier","orcid":null},"institutions":[{"id":"https://openalex.org/I4210134195","display_name":"H\u00f4pital Sainte-Marguerite","ror":"https://ror.org/0338wkj94","country_code":"FR","type":"healthcare","lineage":["https://openalex.org/I4210087487","https://openalex.org/I4210134195"]},{"id":"https://openalex.org/I4210161663","display_name":"Institut de recherche math\u00e9matique de Rennes","ror":"https://ror.org/05y76vp22","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I2800285241","https://openalex.org/I28221208","https://openalex.org/I3124938446","https://openalex.org/I4210117091","https://openalex.org/I4210141950","https://openalex.org/I4210146044","https://openalex.org/I4210161663","https://openalex.org/I4399657933","https://openalex.org/I56067802","https://openalex.org/I56067802"]},{"id":"https://openalex.org/I56067802","display_name":"Universit\u00e9 de Rennes","ror":"https://ror.org/015m7wh34","country_code":"FR","type":"education","lineage":["https://openalex.org/I56067802"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Reynald Lercier","raw_affiliation_strings":["DGA MI, La Roche Marguerite, 35174 Bruz , France","Institut de recherche math\u00e9matique, Universit\u00e9 de Rennes 1, Campus de Beaulieu, 35042 Rennes, France email"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DGA MI, La Roche Marguerite, 35174 Bruz , France","institution_ids":["https://openalex.org/I4210134195"]},{"raw_affiliation_string":"Institut de recherche math\u00e9matique, Universit\u00e9 de Rennes 1, Campus de Beaulieu, 35042 Rennes, France email","institution_ids":["https://openalex.org/I4210161663","https://openalex.org/I56067802"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Christophe Ritzenthaler","orcid":null},"institutions":[{"id":"https://openalex.org/I4210161663","display_name":"Institut de recherche math\u00e9matique de Rennes","ror":"https://ror.org/05y76vp22","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I2800285241","https://openalex.org/I28221208","https://openalex.org/I3124938446","https://openalex.org/I4210117091","https://openalex.org/I4210141950","https://openalex.org/I4210146044","https://openalex.org/I4210161663","https://openalex.org/I4399657933","https://openalex.org/I56067802","https://openalex.org/I56067802"]},{"id":"https://openalex.org/I56067802","display_name":"Universit\u00e9 de Rennes","ror":"https://ror.org/015m7wh34","country_code":"FR","type":"education","lineage":["https://openalex.org/I56067802"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Christophe Ritzenthaler","raw_affiliation_strings":["Institut de recherche math\u00e9matique, Universit\u00e9 de Rennes 1, Campus de Beaulieu, 35042 Rennes, France email"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut de recherche math\u00e9matique, Universit\u00e9 de Rennes 1, Campus de Beaulieu, 35042 Rennes, France email","institution_ids":["https://openalex.org/I4210161663","https://openalex.org/I56067802"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Florent Rovetta","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210138206","display_name":"Institut de Math\u00e9matiques de Marseille","ror":"https://ror.org/042h2y225","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I21491767","https://openalex.org/I4210138206","https://openalex.org/I4210141950","https://openalex.org/I4210142724"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Florent Rovetta","raw_affiliation_strings":["Institut de Math\u00e9matiques de Luminy, UMR 6206 du CNRS, Luminy, Case 907, 13288 Marseille, France email"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut de Math\u00e9matiques de Luminy, UMR 6206 du CNRS, Luminy, Case 907, 13288 Marseille, France email","institution_ids":["https://openalex.org/I4210138206","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":null,"display_name":"Jeroen Sijsling","orcid":null},"institutions":[{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Jeroen Sijsling","raw_affiliation_strings":["Mathematics Institute, Zeeman Building, University of Warwick, Coventry, CV4 7AL, United Kingdom email"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Institute, Zeeman Building, University of Warwick, Coventry, CV4 7AL, United Kingdom email","institution_ids":["https://openalex.org/I39555362"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5842,"has_fulltext":true,"cited_by_count":19,"citation_normalized_percentile":{"value":0.67567568,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"17","issue":"A","first_page":"128","last_page":"147"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11166","display_name":"Analytic Number Theory Research","score":0.8237000107765198,"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/T11166","display_name":"Analytic Number Theory Research","score":0.8237000107765198,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.08709999918937683,"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/T11680","display_name":"Advanced Algebra and Geometry","score":0.0348999984562397,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/moduli-space","display_name":"Moduli space","score":0.7531999945640564},{"id":"https://openalex.org/keywords/isomorphism","display_name":"Isomorphism (crystallography)","score":0.6906999945640564},{"id":"https://openalex.org/keywords/moduli","display_name":"Moduli","score":0.5855000019073486},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.5706999897956848},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.5613999962806702},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.5465999841690063},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4510999917984009},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.421099990606308}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7944999933242798},{"id":"https://openalex.org/C73373263","wikidata":"https://www.wikidata.org/wiki/Q845677","display_name":"Moduli space","level":2,"score":0.7531999945640564},{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.6906999945640564},{"id":"https://openalex.org/C121089165","wikidata":"https://www.wikidata.org/wiki/Q6889796","display_name":"Moduli","level":2,"score":0.5855000019073486},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.5706999897956848},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.5613999962806702},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.5465999841690063},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5182999968528748},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4510999917984009},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4334000051021576},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.421099990606308},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.4018999934196472},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.3788999915122986},{"id":"https://openalex.org/C43809302","wikidata":"https://www.wikidata.org/wiki/Q1060874","display_name":"Plane curve","level":2,"score":0.367900013923645},{"id":"https://openalex.org/C179117685","wikidata":"https://www.wikidata.org/wiki/Q328998","display_name":"Complex plane","level":2,"score":0.3294000029563904},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.28459998965263367},{"id":"https://openalex.org/C44306375","wikidata":"https://www.wikidata.org/wiki/Q902019","display_name":"Symmetry group","level":2,"score":0.2831999957561493},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.28130000829696655},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.2800999879837036},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.2757999897003174},{"id":"https://openalex.org/C3387666","wikidata":"https://www.wikidata.org/wiki/Q6889798","display_name":"Moduli of algebraic curves","level":3,"score":0.2669000029563904},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.2637999951839447},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.26010000705718994},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.2515000104904175}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1112/s146115701400031x","is_oa":true,"landing_page_url":"https://doi.org/10.1112/s146115701400031x","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/273C6154AB3252CC69BA1BD66FFF28A3/S146115701400031Xa.pdf/div-class-title-parametrizing-the-moduli-space-of-curves-and-applications-to-smooth-plane-quartics-over-finite-fields-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"},{"id":"pmh:oai:arXiv.org:1403.0562","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1403.0562","pdf_url":"https://arxiv.org/pdf/1403.0562","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":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":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:HAL:hal-00980244v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00980244","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithmic Number Theory Symposium ANTS-XI, Aug 2014, GyeongJu, South Korea, France. pp.128-147, ⟨10.1112/S146115701400031X⟩","raw_type":"Conference papers"}],"best_oa_location":{"id":"doi:10.1112/s146115701400031x","is_oa":true,"landing_page_url":"https://doi.org/10.1112/s146115701400031x","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/273C6154AB3252CC69BA1BD66FFF28A3/S146115701400031Xa.pdf/div-class-title-parametrizing-the-moduli-space-of-curves-and-applications-to-smooth-plane-quartics-over-finite-fields-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":[{"id":"https://openalex.org/G1183909832","display_name":"Parameter spaces for Efficient Arithmetic and Curve security Evaluation","funder_award_id":"ANR-12-BS01-0010","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G3597637701","display_name":null,"funder_award_id":"ANR-11-LABX-0020","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G384191665","display_name":null,"funder_award_id":"ANR-12-BS01-0010-01","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G6702880738","display_name":null,"funder_award_id":"ANR-12","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320273","display_name":"University of Cambridge","ror":"https://ror.org/013meh722"},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2160834277.pdf","grobid_xml":"https://content.openalex.org/works/W2160834277.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W1539634379","https://openalex.org/W1545385001","https://openalex.org/W1575590592","https://openalex.org/W1872966935","https://openalex.org/W1970574333","https://openalex.org/W1975704899","https://openalex.org/W1989767052","https://openalex.org/W2037841938","https://openalex.org/W2064402187","https://openalex.org/W2077250322","https://openalex.org/W2083261941","https://openalex.org/W2092529321","https://openalex.org/W2093575388","https://openalex.org/W2109384497","https://openalex.org/W2151876783","https://openalex.org/W2168496289","https://openalex.org/W2169168281","https://openalex.org/W2328908680","https://openalex.org/W2962837817","https://openalex.org/W2963488390","https://openalex.org/W2964250124","https://openalex.org/W3194975564","https://openalex.org/W6621954094","https://openalex.org/W6687884110"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"We":[1,16],"study":[2],"new":[3,58],"families":[4,20],"of":[5,35,50,53,72],"curves":[6],"that":[7],"are":[8],"suitable":[9],"for":[10,21,31],"efficiently":[11],"parametrizing":[12],"their":[13,51],"moduli":[14],"spaces.":[15],"explicitly":[17],"construct":[18],"such":[19],"smooth":[22,36],"plane":[23,37],"quartics":[24,38],"in":[25],"order":[26],"to":[27,57,64],"determine":[28],"unique":[29],"representatives":[30],"the":[32,48,65,70],"isomorphism":[33],"classes":[34],"over":[39],"finite":[40],"fields.":[41],"In":[42],"this":[43],"way,":[44],"we":[45],"can":[46],"visualize":[47],"distributions":[49],"traces":[52],"Frobenius.":[54],"This":[55],"leads":[56],"observations":[59],"on":[60],"fluctuations":[61],"with":[62],"respect":[63],"limiting":[66],"symmetry":[67],"imposed":[68],"by":[69],"theory":[71],"Katz":[73],"and":[74],"Sarnak.":[75]},"counts_by_year":[{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-06-20T22:02:38.213706","created_date":"2016-06-24T00:00:00"}