{"id":"https://openalex.org/W2134848070","doi":"https://doi.org/10.1080/10586458.2016.1236357","title":"Algebraic Description of Jacobians Isogeneous to Certain Prym Varieties with Polarization (1,2)","display_name":"Algebraic Description of Jacobians Isogeneous to Certain Prym Varieties with Polarization (1,2)","publication_year":2016,"publication_date":"2016-10-28","ids":{"openalex":"https://openalex.org/W2134848070","doi":"https://doi.org/10.1080/10586458.2016.1236357","mag":"2134848070"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2016.1236357","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2016.1236357","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"],"host_organization_lineage_names":["Taylor & Francis"],"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":true,"oa_status":"green","oa_url":"http://hdl.handle.net/2117/121261","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043493292","display_name":"V. Z. Enolski","orcid":"https://orcid.org/0000-0002-0845-3413"},"institutions":[{"id":"https://openalex.org/I112412981","display_name":"National University of Kyiv Mohyla Academy","ror":"https://ror.org/03wfca816","country_code":"UA","type":"education","lineage":["https://openalex.org/I112412981"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"V. Z. Enolski","raw_affiliation_strings":["Department of Mathematics and Physics, National University \u201cKyiv-Mohyla Academy\u201d, Kyiv, Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Physics, National University \u201cKyiv-Mohyla Academy\u201d, Kyiv, Ukraine","institution_ids":["https://openalex.org/I112412981"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024398511","display_name":"Yu. N. Fedorov","orcid":null},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Yu. N. Fedorov","raw_affiliation_strings":["Department of Mathematics, Polytechnic University of Catalonia, Barcelona, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Polytechnic University of Catalonia, Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5024398511"],"corresponding_institution_ids":["https://openalex.org/I9617848"],"apc_list":null,"apc_paid":null,"fwci":1.0664,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.74531461,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"27","issue":"2","first_page":"147","last_page":"178"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9975000023841858,"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":0.9975000023841858,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9873999953269958,"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":0.973800003528595,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9056442975997925},{"id":"https://openalex.org/keywords/jacobian-matrix-and-determinant","display_name":"Jacobian matrix and determinant","score":0.7386913299560547},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.614942193031311},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5863380432128906},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5266699194908142},{"id":"https://openalex.org/keywords/genus","display_name":"Genus","score":0.5207081437110901},{"id":"https://openalex.org/keywords/integrable-system","display_name":"Integrable system","score":0.47791537642478943},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.46193328499794006},{"id":"https://openalex.org/keywords/algebraic-curve","display_name":"Algebraic curve","score":0.45692822337150574},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.4487709105014801},{"id":"https://openalex.org/keywords/hyperelliptic-curve","display_name":"Hyperelliptic curve","score":0.41259902715682983},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.26124459505081177},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.19533777236938477},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.15884128212928772}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9056442975997925},{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.7386913299560547},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.614942193031311},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5863380432128906},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5266699194908142},{"id":"https://openalex.org/C157369684","wikidata":"https://www.wikidata.org/wiki/Q34740","display_name":"Genus","level":2,"score":0.5207081437110901},{"id":"https://openalex.org/C200741047","wikidata":"https://www.wikidata.org/wiki/Q1957758","display_name":"Integrable system","level":2,"score":0.47791537642478943},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.46193328499794006},{"id":"https://openalex.org/C207043602","wikidata":"https://www.wikidata.org/wiki/Q266237","display_name":"Algebraic curve","level":2,"score":0.45692822337150574},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.4487709105014801},{"id":"https://openalex.org/C11074058","wikidata":"https://www.wikidata.org/wiki/Q850110","display_name":"Hyperelliptic curve","level":3,"score":0.41259902715682983},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26124459505081177},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.19533777236938477},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.15884128212928772},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1080/10586458.2016.1236357","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2016.1236357","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"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:recercat.cat:2072/332811","is_oa":true,"landing_page_url":"http://hdl.handle.net/2117/121261","pdf_url":null,"source":{"id":"https://openalex.org/S4306402147","display_name":"RECERCAT (Consorci de Serveis Universitaris de Catalunya)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210090028","host_organization_name":"Consorci de Serveis Universitaris de Catalunya","host_organization_lineage":["https://openalex.org/I4210090028"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:upcommons.upc.edu:2117/121261","is_oa":false,"landing_page_url":"https://hdl.handle.net/2117/121261","pdf_url":null,"source":{"id":"https://openalex.org/S4377196262","display_name":"UPCommons institutional repository (Universitat Polit\u00e8cnica de Catalunya)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I9617848","host_organization_name":"Universitat Polit\u00e8cnica de Catalunya","host_organization_lineage":["https://openalex.org/I9617848"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.762.8214","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.762.8214","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1411.6143.pdf","raw_type":"text"},{"id":"pmh:oai:dnet:upcommonspor::e564efe04c408d53721f3e3441e2f545","is_oa":false,"landing_page_url":"http://hdl.handle.net/2117/24994","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/draft"},{"id":"pmh:oai:upcommons.upc.edu:2117/24994","is_oa":false,"landing_page_url":"https://hdl.handle.net/2117/24994","pdf_url":null,"source":{"id":"https://openalex.org/S4377196262","display_name":"UPCommons institutional repository (Universitat Polit\u00e8cnica de Catalunya)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I9617848","host_organization_name":"Universitat Polit\u00e8cnica de Catalunya","host_organization_lineage":["https://openalex.org/I9617848"],"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":"info:eu-repo/semantics/report"}],"best_oa_location":{"id":"pmh:oai:recercat.cat:2072/332811","is_oa":true,"landing_page_url":"http://hdl.handle.net/2117/121261","pdf_url":null,"source":{"id":"https://openalex.org/S4306402147","display_name":"RECERCAT (Consorci de Serveis Universitaris de Catalunya)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210090028","host_organization_name":"Consorci de Serveis Universitaris de Catalunya","host_organization_lineage":["https://openalex.org/I4210090028"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W27818304","https://openalex.org/W75045245","https://openalex.org/W198236739","https://openalex.org/W1506271371","https://openalex.org/W1534976569","https://openalex.org/W1540991653","https://openalex.org/W1596424918","https://openalex.org/W1601071333","https://openalex.org/W1608653939","https://openalex.org/W1661602883","https://openalex.org/W1966174478","https://openalex.org/W1968489500","https://openalex.org/W1973500212","https://openalex.org/W2020218958","https://openalex.org/W2020787186","https://openalex.org/W2021451874","https://openalex.org/W2029645789","https://openalex.org/W2032165602","https://openalex.org/W2032713492","https://openalex.org/W2040543162","https://openalex.org/W2046560632","https://openalex.org/W2052884675","https://openalex.org/W2054388799","https://openalex.org/W2057214356","https://openalex.org/W2061077624","https://openalex.org/W2085553550","https://openalex.org/W2115819075","https://openalex.org/W2144199934","https://openalex.org/W2150981014","https://openalex.org/W2205642384","https://openalex.org/W2318730560","https://openalex.org/W2493816293","https://openalex.org/W2515240275","https://openalex.org/W2964250724","https://openalex.org/W3100713824","https://openalex.org/W3104545940","https://openalex.org/W4232925785","https://openalex.org/W4237151706","https://openalex.org/W4237478233","https://openalex.org/W4248431629"],"related_works":["https://openalex.org/W3029460748","https://openalex.org/W4237505298","https://openalex.org/W1510953762","https://openalex.org/W2995607861","https://openalex.org/W1870827190","https://openalex.org/W4210965099","https://openalex.org/W1535951459","https://openalex.org/W2918820055","https://openalex.org/W2082861753","https://openalex.org/W2325994365"],"abstract_inverted_index":{"For":[0],"a":[1,64],"class":[2],"of":[3,13,23,51,61,66,83,98,104,114,126,128,130,135,138,153],"non-hyperelliptic":[4],"genus":[5,27,139],"3":[6],"curves":[7,15,29,100],"C":[8,86,105],"which":[9,148],"are":[10,32,143],"twofold":[11],"coverings":[12],"elliptic":[14,99,117],"E,":[16,88],"we":[17],"give":[18],"an":[19],"explicit":[20,124],"algebraic":[21,70],"description":[22,45,120],"all":[24],"birationally":[25],"nonequivalent":[26],"2":[28,34,140],"whose":[30],"Jacobians":[31],"degree":[33],"isogeneous":[35,107],"to":[36,111],"the":[37,84,92,102,112,131,154],"Prym":[38,52,94,132],"varieties":[39,53,95,133],"associated":[40],"with":[41,54,59,123],"such":[42,75],"coverings.":[43],"Our":[44,119],"is":[46,106,121],"based":[47],"on":[48,74],"previous":[49],"studies":[50],"polarization":[55],"(1,2)":[56],"in":[57,63,89],"connection":[58],"separation":[60],"variables":[62],"series":[65],"classical":[67],"and":[68,101,134],"new":[69],"integrable":[71],"systems":[72],"linearized":[73],"varieties.":[76],"We":[77],"also":[78],"consider":[79],"some":[80],"special":[81],"cases":[82],"covering":[85],"\u2192":[87],"particular,":[90],"when":[91],"corresponding":[93],"contain":[96],"pairs":[97],"Jacobian":[103],"(but":[108],"not":[109],"isomorphic)":[110],"product":[113],"three":[115],"different":[116],"curves.":[118,141],"accompanied":[122],"algorithms":[125],"calculation":[127],"periods":[129],"absolute":[136],"invariants":[137],"They":[142],"followed":[144],"by":[145],"numerical":[146],"examples,":[147],"experimentally":[149],"confirm":[150],"main":[151],"results":[152],"article.":[155]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2018,"cited_by_count":2}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}