{"id":"https://openalex.org/W4407228317","doi":"https://doi.org/10.1142/s0129167x25500119","title":"Fourier\u2013Mukai transform for fine compactified Prym varieties","display_name":"Fourier\u2013Mukai transform for fine compactified Prym varieties","publication_year":2025,"publication_date":"2025-02-06","ids":{"openalex":"https://openalex.org/W4407228317","doi":"https://doi.org/10.1142/s0129167x25500119"},"language":"en","primary_location":{"id":"doi:10.1142/s0129167x25500119","doi":"https://doi.org/10.1142/s0129167x25500119","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129167x25500119","pdf_url":null,"source":{"id":"https://openalex.org/S105014038","display_name":"International Journal of Mathematics","issn_l":"0129-167X","issn":["0129-167X","1793-6519"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-1","norway-1","poland-70","russia-white-list-3"],"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 Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2206.12349","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Emilio Franco","orcid":"https://orcid.org/0000-0002-5133-7821","observed_orcids":["https://orcid.org/0000-0002-5133-7821"]},"institutions":[{"id":"https://openalex.org/I134820265","display_name":"Consejo Superior de Investigaciones Cient\u00edficas","ror":"https://ror.org/02gfc7t72","country_code":"ES","type":"government","lineage":["https://openalex.org/I134820265"]},{"id":"https://openalex.org/I4210157032","display_name":"Institute of Mathematical Sciences","ror":"https://ror.org/05e9bn444","country_code":"ES","type":"facility","lineage":["https://openalex.org/I4210157032"]},{"id":"https://openalex.org/I50357001","display_name":"Universidad Carlos III de Madrid","ror":"https://ror.org/03ths8210","country_code":"ES","type":"education","lineage":["https://openalex.org/I50357001"]},{"id":"https://openalex.org/I63634437","display_name":"Universidad Aut\u00f3noma de Madrid","ror":"https://ror.org/01cby8j38","country_code":"ES","type":"education","lineage":["https://openalex.org/I63634437"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Emilio Franco","raw_affiliation_strings":["Universidad Aut\u00f3noma de Madrid and Instituto de Ciencias Matem\u00e1ticas, (CSIC\u2013UAM\u2013UCM\u2013UC3M) Campus de Cantoblanco, Madrid 28049, Espa\u00f1a"],"raw_orcid":"https://orcid.org/0000-0002-5133-7821","affiliations":[{"raw_affiliation_string":"Universidad Aut\u00f3noma de Madrid and Instituto de Ciencias Matem\u00e1ticas, (CSIC\u2013UAM\u2013UCM\u2013UC3M) Campus de Cantoblanco, Madrid 28049, Espa\u00f1a","institution_ids":["https://openalex.org/I134820265","https://openalex.org/I4210157032","https://openalex.org/I50357001","https://openalex.org/I63634437"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Robert Hanson","orcid":"https://orcid.org/0009-0008-9366-8654","observed_orcids":["https://orcid.org/0009-0008-9366-8654"]},"institutions":[{"id":"https://openalex.org/I141596103","display_name":"University of Lisbon","ror":"https://ror.org/01c27hj86","country_code":"PT","type":"education","lineage":["https://openalex.org/I141596103"]},{"id":"https://openalex.org/I4387152517","display_name":"Instituto Superior T\u00e9cnico","ror":"https://ror.org/03db2by73","country_code":"PT","type":"education","lineage":["https://openalex.org/I141596103","https://openalex.org/I4387152517"]},{"id":"https://openalex.org/I4405253701","display_name":"Centro de An\u00e1lise Matem\u00e1tica Geometria e Sistemas Din\u00e2micos","ror":"https://ror.org/00zy84838","country_code":"PT","type":"facility","lineage":["https://openalex.org/I141596103","https://openalex.org/I4405253701"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Robert Hanson","raw_affiliation_strings":["Centro de An\u00e1lise Matem\u00e1tica, Geometria e Sistemas Din\u00e2micos, Instituto Superior T\u00e9cnico Universidade de Lisboa, Av. Rovisco Pais s/n, Lisboa 1049-001, Portugal"],"raw_orcid":"https://orcid.org/0009-0008-9366-8654","affiliations":[{"raw_affiliation_string":"Centro de An\u00e1lise Matem\u00e1tica, Geometria e Sistemas Din\u00e2micos, Instituto Superior T\u00e9cnico Universidade de Lisboa, Av. Rovisco Pais s/n, Lisboa 1049-001, Portugal","institution_ids":["https://openalex.org/I141596103","https://openalex.org/I4387152517","https://openalex.org/I4405253701"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078920878","display_name":"Jo\u00e3o Ruano","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I141596103","display_name":"University of Lisbon","ror":"https://ror.org/01c27hj86","country_code":"PT","type":"education","lineage":["https://openalex.org/I141596103"]},{"id":"https://openalex.org/I4387152517","display_name":"Instituto Superior T\u00e9cnico","ror":"https://ror.org/03db2by73","country_code":"PT","type":"education","lineage":["https://openalex.org/I141596103","https://openalex.org/I4387152517"]},{"id":"https://openalex.org/I4405253701","display_name":"Centro de An\u00e1lise Matem\u00e1tica Geometria e Sistemas Din\u00e2micos","ror":"https://ror.org/00zy84838","country_code":"PT","type":"facility","lineage":["https://openalex.org/I141596103","https://openalex.org/I4405253701"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Jo\u00e3o Ruano","raw_affiliation_strings":["Centro de An\u00e1lise Matem\u00e1tica, Geometria e Sistemas Din\u00e2micos, Instituto Superior T\u00e9cnico Universidade de Lisboa, Av. Rovisco Pais s/n, Lisboa 1049-001, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centro de An\u00e1lise Matem\u00e1tica, Geometria e Sistemas Din\u00e2micos, Instituto Superior T\u00e9cnico Universidade de Lisboa, Av. Rovisco Pais s/n, Lisboa 1049-001, Portugal","institution_ids":["https://openalex.org/I141596103","https://openalex.org/I4387152517","https://openalex.org/I4405253701"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":7,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.05210555,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"36","issue":"07","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9980000257492065,"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":0.9980000257492065,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.0010000000474974513,"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":9.999999747378752e-05,"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/fourier-mukai-transform","display_name":"Fourier-Mukai transform","score":0.9169999957084656},{"id":"https://openalex.org/keywords/derived-categories","display_name":"derived categories","score":0.5519999861717224},{"id":"https://openalex.org/keywords/equivariant-derived-category","display_name":"equivariant derived category","score":0.8199999928474426},{"id":"https://openalex.org/keywords/spectral-curves","display_name":"spectral curves","score":0.6389999985694885},{"id":"https://openalex.org/keywords/jacobian-varieties","display_name":"Jacobian varieties","score":0.6039999723434448},{"id":"https://openalex.org/keywords/line-bundles","display_name":"line bundles","score":0.33799999952316284},{"id":"https://openalex.org/keywords/derived-equivalence","display_name":"derived equivalence","score":0.6449999809265137}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.896713137626648},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5896088480949402},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.42775946855545044},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.31975334882736206}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0129167x25500119","doi":"https://doi.org/10.1142/s0129167x25500119","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129167x25500119","pdf_url":null,"source":{"id":"https://openalex.org/S105014038","display_name":"International Journal of Mathematics","issn_l":"0129-167X","issn":["0129-167X","1793-6519"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-1","norway-1","poland-70","russia-white-list-3"],"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 Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2206.12349","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2206.12349","pdf_url":"https://arxiv.org/pdf/2206.12349","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"doi:10.48550/arxiv.2206.12349","doi":"https://doi.org/10.48550/arxiv.2206.12349","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2206.12349","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2206.12349","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2206.12349","pdf_url":"https://arxiv.org/pdf/2206.12349","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1701110065","display_name":null,"funder_award_id":"CEX2019\u2010000904\u2010S","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G4266582241","display_name":null,"funder_award_id":"PGC2022-1001150218","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":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4407228317.pdf","grobid_xml":"https://content.openalex.org/works/W4407228317.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W169258215","https://openalex.org/W587747628","https://openalex.org/W1494904935","https://openalex.org/W1568045038","https://openalex.org/W1571072992","https://openalex.org/W1669705256","https://openalex.org/W1977930519","https://openalex.org/W2010462422","https://openalex.org/W2013646334","https://openalex.org/W2015108068","https://openalex.org/W2023529998","https://openalex.org/W2026123431","https://openalex.org/W2043788850","https://openalex.org/W2043891026","https://openalex.org/W2057964839","https://openalex.org/W2069307123","https://openalex.org/W2081343451","https://openalex.org/W2108611116","https://openalex.org/W2116341229","https://openalex.org/W2150706552","https://openalex.org/W2156018287","https://openalex.org/W2766888542","https://openalex.org/W2946373121","https://openalex.org/W2951044133","https://openalex.org/W2962977204","https://openalex.org/W2963346046","https://openalex.org/W2963490300","https://openalex.org/W2964237805","https://openalex.org/W2982550935","https://openalex.org/W3100934865","https://openalex.org/W3124875306","https://openalex.org/W4248532778"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"Consider":[0],"a":[1,9,19,91,114,131],"finite":[2,68],"flat":[3],"morphism":[4],"[Formula:":[5,15,23,31,35,39,50,54,58,64,70,74,81,99,104,110,119,126,159],"see":[6,16,24,32,36,40,51,55,59,65,71,75,82,100,105,111,120,127,160],"text]":[7,17,33,37,52,60,72,83,101],"between":[8,94,117],"reduced,":[10],"projective,":[11],"locally":[12],"planar":[13],"curve":[14,22],"and":[18,34,53,102,123,152],"smooth":[20],"projective":[21],"text].":[25,56],"Associated":[26],"to":[27,156],"two":[28],"generic":[29],"polarizations":[30],"on":[38,80,145],"text],":[41,66,112],"one":[42],"can":[43],"construct":[44,90],"the":[45,61,67,95,103,118,124],"corresponding":[46],"compactified":[47,146],"Prym":[48],"varieties":[49,148],"With":[57],"rank":[62],"of":[63,73,98,109,134,142,158],"group":[69],"text]-torsion":[76],"line":[77],"bundles":[78],"acts":[79],"by":[84,150],"tensorization.":[85],"In":[86],"this":[87],"paper,":[88],"we":[89],"Fourier\u2013Mukai":[92,143],"transform":[93],"derived":[96,107,115],"category":[97,108],"text]-equivariant":[106],"providing":[113],"equivalence":[116],"text]-Hitchin":[121,128,161],"fiber":[122,129],"dual":[125],"for":[130],"dense":[132],"class":[133],"singular":[135],"spectral":[136],"curves.":[137],"This":[138],"is":[139],"an":[140],"extension":[141],"transforms":[144],"Jacobian":[147],"constructed":[149],"Arinkin":[151],"Melo\u2013Rapagnetta\u2013Viviani,":[153],"which":[154],"correspond":[155],"autoduality":[157],"fibers.":[162]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2025-10-10T00:00:00"}
