{"id":"https://openalex.org/W2220990411","doi":"https://doi.org/10.1112/jlms/jdw052","title":"The uniqueness problem of dg\u2010lifts and Fourier\u2010Mukai kernels","display_name":"The uniqueness problem of dg\u2010lifts and Fourier\u2010Mukai kernels","publication_year":2016,"publication_date":"2016-09-17","ids":{"openalex":"https://openalex.org/W2220990411","doi":"https://doi.org/10.1112/jlms/jdw052","mag":"2220990411"},"language":"en","primary_location":{"id":"doi:10.1112/jlms/jdw052","is_oa":false,"landing_page_url":"https://doi.org/10.1112/jlms/jdw052","pdf_url":null,"source":{"id":"https://openalex.org/S4210207695","display_name":"Journal of the London Mathematical Society","issn_l":"0024-6107","issn":["0024-6107","1469-7750"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the London Mathematical Society","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1510.03759","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012453188","display_name":"Francesco Genovese","orcid":"https://orcid.org/0000-0001-7186-2191"},"institutions":[{"id":"https://openalex.org/I25217355","display_name":"University of Pavia","ror":"https://ror.org/00s6t1f81","country_code":"IT","type":"education","lineage":["https://openalex.org/I25217355"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Francesco Genovese","raw_affiliation_strings":["Dipartimento di Matematica \u2018Felice Casorati\u2019, Universit\u00e0 di Pavia, Via Ferrata 5, 27100 Pavia (PV), Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica \u2018Felice Casorati\u2019, Universit\u00e0 di Pavia, Via Ferrata 5, 27100 Pavia (PV), Italy","institution_ids":["https://openalex.org/I25217355"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5012453188"],"corresponding_institution_ids":["https://openalex.org/I25217355"],"apc_list":{"value":3930,"currency":"USD","value_usd":3930},"apc_paid":null,"fwci":1.474,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.78838387,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"94","issue":"2","first_page":"617","last_page":"638"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9998000264167786,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9998000264167786,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9968000054359436,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9896000027656555,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.9340772032737732},{"id":"https://openalex.org/keywords/functor","display_name":"Functor","score":0.8681395649909973},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.819656491279602},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5917918682098389},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.564715564250946},{"id":"https://openalex.org/keywords/categorical-variable","display_name":"Categorical variable","score":0.44896626472473145},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35703057050704956},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33931344747543335},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06293392181396484}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.9340772032737732},{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.8681395649909973},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.819656491279602},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5917918682098389},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.564715564250946},{"id":"https://openalex.org/C5274069","wikidata":"https://www.wikidata.org/wiki/Q2285707","display_name":"Categorical variable","level":2,"score":0.44896626472473145},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35703057050704956},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33931344747543335},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06293392181396484}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1112/jlms/jdw052","is_oa":false,"landing_page_url":"https://doi.org/10.1112/jlms/jdw052","pdf_url":null,"source":{"id":"https://openalex.org/S4210207695","display_name":"Journal of the London Mathematical Society","issn_l":"0024-6107","issn":["0024-6107","1469-7750"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the London Mathematical Society","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1510.03759","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1510.03759","pdf_url":"https://arxiv.org/pdf/1510.03759","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,"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:open-archive.highwire.org:jlms:94/2/617","is_oa":false,"landing_page_url":"http://jlms.oxfordjournals.org/cgi/content/short/94/2/617","pdf_url":null,"source":{"id":"https://openalex.org/S4406923041","display_name":"HighWire Press Open Archive","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"TEXT"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1510.03759","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1510.03759","pdf_url":"https://arxiv.org/pdf/1510.03759","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,"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":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.5600000023841858}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W314199121","https://openalex.org/W1509035722","https://openalex.org/W1570670555","https://openalex.org/W1671042558","https://openalex.org/W1732125007","https://openalex.org/W1964040802","https://openalex.org/W1997400470","https://openalex.org/W2012513761","https://openalex.org/W2013487429","https://openalex.org/W2031319770","https://openalex.org/W2063619670","https://openalex.org/W2075238885","https://openalex.org/W2091885914","https://openalex.org/W2118660796","https://openalex.org/W2167791892","https://openalex.org/W2371848053","https://openalex.org/W2963622321","https://openalex.org/W2964028275","https://openalex.org/W3098831645","https://openalex.org/W3100150662","https://openalex.org/W4213424362","https://openalex.org/W4230052066"],"related_works":["https://openalex.org/W571281153","https://openalex.org/W2949403936","https://openalex.org/W4301247218","https://openalex.org/W3023806604","https://openalex.org/W2952139525","https://openalex.org/W2129818458","https://openalex.org/W4289551052","https://openalex.org/W4390756076","https://openalex.org/W4243074410","https://openalex.org/W2969742028"],"abstract_inverted_index":{"We":[0,24],"address":[1],"the":[2,18,34],"uniqueness":[3,19],"problem":[4,20],"of":[5,8,21],"differential":[6],"graded-lifts":[7],"exact":[9],"functors":[10],"between":[11],"triangulated":[12],"categories,":[13],"and":[14],"its":[15],"relationship":[16],"with":[17],"Fourier\u2013Mukai":[22],"kernels.":[23],"prove":[25],"a":[26,30],"positive":[27],"result":[28],"under":[29],"vanishing":[31],"hypothesis":[32],"on":[33],"functors,":[35],"using":[36],"A":[37],"\u221e":[38],"-categorical":[39],"techniques.":[40]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}