{"id":"https://openalex.org/W1965976175","doi":"https://doi.org/10.1080/10586458.1997.10504615","title":"Hyperelliptic Simple Factors of J0(N) with Dimension at Least 3","display_name":"Hyperelliptic Simple Factors of J0(N) with Dimension at Least 3","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W1965976175","doi":"https://doi.org/10.1080/10586458.1997.10504615","mag":"1965976175"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.1997.10504615","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.1997.10504615","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","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/A5007721513","display_name":"Hermann-Josef Weber","orcid":null},"institutions":[{"id":"https://openalex.org/I4210155887","display_name":"Mannesmann (Germany)","ror":"https://ror.org/05ab5m237","country_code":"DE","type":"company","lineage":["https://openalex.org/I245417339","https://openalex.org/I4210155887","https://openalex.org/I74316835"]},{"id":"https://openalex.org/I4210166523","display_name":"Mannesmann Demag (Germany)","ror":"https://ror.org/05t0e1a79","country_code":"DE","type":"company","lineage":["https://openalex.org/I4210166523"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Hermann-Josef Weber","raw_affiliation_strings":["Mannesmann Information Technology, Theodorstra\u00dfe 90, 40472, D\u00fcsseldorf, Germany E-mail: hermann-josef.weber@it-mannesmann.de","Mannesmann Information Technology, Theodorstra\u00dfe 90 , 40472 , D\u00fcsseldorf , Germany E-mail: hermann-josef.weber@it-mannesmann.de"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mannesmann Information Technology, Theodorstra\u00dfe 90, 40472, D\u00fcsseldorf, Germany E-mail: hermann-josef.weber@it-mannesmann.de","institution_ids":["https://openalex.org/I4210155887","https://openalex.org/I4210166523"]},{"raw_affiliation_string":"Mannesmann Information Technology, Theodorstra\u00dfe 90 , 40472 , D\u00fcsseldorf , Germany E-mail: hermann-josef.weber@it-mannesmann.de","institution_ids":["https://openalex.org/I4210155887"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5007721513"],"corresponding_institution_ids":["https://openalex.org/I4210155887","https://openalex.org/I4210166523"],"apc_list":null,"apc_paid":null,"fwci":1.4731,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.77920253,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"6","issue":"4","first_page":"273","last_page":"287"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9993000030517578,"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":0.9993000030517578,"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":0.998199999332428,"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"}},{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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":0.9120049476623535},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.8035739660263062},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.7953122854232788},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4270702600479126},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.41252440214157104},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3204324245452881}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9120049476623535},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.8035739660263062},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.7953122854232788},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4270702600479126},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.41252440214157104},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3204324245452881},{"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":[{"id":"doi:10.1080/10586458.1997.10504615","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.1997.10504615","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.49000000953674316,"display_name":"No poverty","id":"https://metadata.un.org/sdg/1"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W84515655","https://openalex.org/W154145339","https://openalex.org/W1499927722","https://openalex.org/W1504839927","https://openalex.org/W1596424918","https://openalex.org/W1964461384","https://openalex.org/W2024447322","https://openalex.org/W2027134735","https://openalex.org/W2038876496","https://openalex.org/W2058823269","https://openalex.org/W2061507937","https://openalex.org/W2277535877","https://openalex.org/W2298873378","https://openalex.org/W2798483379","https://openalex.org/W4211028935","https://openalex.org/W4235852039","https://openalex.org/W4253131219"],"related_works":["https://openalex.org/W1585007175","https://openalex.org/W2382521049","https://openalex.org/W2144385241","https://openalex.org/W2165950148","https://openalex.org/W4253593777","https://openalex.org/W2951497643","https://openalex.org/W4300101996","https://openalex.org/W3101625811","https://openalex.org/W2338854850","https://openalex.org/W2394724188"],"abstract_inverted_index":{"We":[0],"develop":[1],"algorithms":[2,232],"for":[3,87,162,180],"three":[4],"problems.":[5],"Starting":[6],"with":[7,119,185,204],"a":[8,18,41,67,130,150,175],"complex":[9],"torus":[10],"of":[11,34,45,78,101,139,146,211,218],"dimension":[12,205],"g":[13,47,206],"\u2265":[14],"2,":[15],"isomorphic":[16,53],"to":[17,29,54,173,233],"principally":[19,199],"polarized,":[20],"simple":[21,202],"abelian":[22,124],"variety":[23,50,125,187,214],"A/C,":[24],"the":[25,35,72,76,79,99,123,137,157,165,181,212,219,225],"first":[26],"problem":[27,74],"is":[28,52,60,75,127,192],"find":[30],"an":[31,142],"algorithmic":[32],"solution":[33,59],"hyperelliptic":[36,68,102,182],"Schottky":[37],"problem:":[38],"Is":[39],"there":[40],"hvperelliptic":[42],"curve":[43,69,183,221,227],"C":[44,70,82,94,184],"genus":[46],"whose":[48],"jacobian":[49,186,213],"Ic":[51,188],"A":[55,126],"over":[56,129,178],"C?":[57],"Our":[58],"based":[61],"on":[62],"[Poor":[63],"1994].":[64],"If":[65,122],"such":[66],"exists,":[71],"next":[73],"construction":[77],"Rosenhain":[80],"model":[81],":":[83],"y2":[84],"=":[85,160,207,216],"X(X\u22121)(X\u2212\u03bb1)(X\u2212\u03bb2)\u2026(X\u2212\u03bb2g\u22121)":[86],"pairwise":[88],"distinct":[89],"numbers":[90,109],"\u03bbj":[91,110],"E":[92],"\u2208":[93],"\\":[95],"{0,":[96],"1}.":[97],"Applying":[98],"theory":[100],"theta":[103,117],"functions":[104],"we":[105,153,223],"show":[106,154],"that":[107],"these":[108],"can":[111,170],"easily":[112],"be":[113,136,171],"computed":[114],"by":[115,229],"using":[116],"constants":[118],"even":[120],"characteristics.":[121],"defined":[128],"field":[131,134,138,145],"k":[132,159],"(this":[133],"could":[135],"rational":[140],"numbers,":[141],"algebraic":[143],"number":[144],"low":[147],"degree,":[148],"or":[149],"finite":[151],"field),":[152],"only":[155],"in":[156,167],"case":[158],"Q":[161],"simplicity,":[163],"how":[164],"method":[166],"[Mestre":[168],"1991]":[169],"generalized":[172],"get":[174],"minimal":[176],"equation":[177],"Z[\u00bd]":[179],"\u2245c":[189],"A.":[190],"This":[191],"our":[193,231],"third":[194],"problem.":[195],"For":[196],"some":[197],"hyperelliptic,":[198],"polarized":[200],"and":[201],"factors":[203],"3,":[208],"4,":[209],"5":[210],"J0(N)":[215],"IX0(N)":[217],"modular":[220],"X0(N)":[222],"compute":[224],"corresponding":[226],"equations":[228],"applying":[230],"this":[234],"special":[235],"situation.":[236]},"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}