{"id":"https://openalex.org/W7214093467","doi":"https://doi.org/10.48550/arxiv.2609.26387","title":"Type changing, compact generalized Calabi--Yaus","display_name":"Type changing, compact generalized Calabi--Yaus","publication_year":2026,"publication_date":"2026-09-22","ids":{"openalex":"https://openalex.org/W7214093467","doi":"https://doi.org/10.48550/arxiv.2609.26387"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.26387","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.26387","pdf_url":"https://arxiv.org/pdf/2609.26387","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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.26387","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058881900","display_name":"Gil Ramos Cavalcanti","orcid":"https://orcid.org/0000-0002-4089-7460","observed_orcids":["https://orcid.org/0000-0002-4089-7460"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Cavalcanti, Gil R.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5058881900"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12351","display_name":"Geometry and complex manifolds","score":0.9940999746322632,"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/T12351","display_name":"Geometry and complex manifolds","score":0.9940999746322632,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.004800000227987766,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.00019999999494757503,"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/twistor-space","display_name":"twistor space","score":0.753000020980835},{"id":"https://openalex.org/keywords/branched-coverings","display_name":"branched coverings","score":0.9729999899864197},{"id":"https://openalex.org/keywords/hyperelliptic-surfaces","display_name":"hyperelliptic surfaces","score":0.8790000081062317},{"id":"https://openalex.org/keywords/compact-manifolds","display_name":"compact manifolds","score":0.574999988079071}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7215999960899353},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.6323000192642212},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5893999934196472},{"id":"https://openalex.org/C25793852","wikidata":"https://www.wikidata.org/wiki/Q279082","display_name":"Twistor theory","level":2,"score":0.5529000163078308},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.5277000069618225},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.43950000405311584},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.3926999866962433},{"id":"https://openalex.org/C157369684","wikidata":"https://www.wikidata.org/wiki/Q34740","display_name":"Genus","level":2,"score":0.3869999945163727},{"id":"https://openalex.org/C18648836","wikidata":"https://www.wikidata.org/wiki/Q381892","display_name":"Compact space","level":2,"score":0.3799999952316284},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.37709999084472656},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3391999900341034},{"id":"https://openalex.org/C123635137","wikidata":"https://www.wikidata.org/wiki/Q840376","display_name":"Ruled surface","level":3,"score":0.28839999437332153},{"id":"https://openalex.org/C15349852","wikidata":"https://www.wikidata.org/wiki/Q7858591","display_name":"Twistor space","level":3,"score":0.2782000005245209},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.2773999869823456},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.2694999873638153}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.26387","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.26387","pdf_url":"https://arxiv.org/pdf/2609.26387","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.2609.26387","doi":"https://doi.org/10.48550/arxiv.2609.26387","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.26387","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":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.26387","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.26387","pdf_url":"https://arxiv.org/pdf/2609.26387","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":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214093467.pdf","grobid_xml":"https://content.openalex.org/works/W7214093467.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7095571927","https://openalex.org/W2889541486","https://openalex.org/W2561073128","https://openalex.org/W2312431272","https://openalex.org/W7097195719","https://openalex.org/W2577009615","https://openalex.org/W1496749247","https://openalex.org/W7096464140","https://openalex.org/W985495078","https://openalex.org/W7100150009"],"abstract_inverted_index":{"We":[0],"provide":[1],"the":[2,41],"first":[3],"compact":[4],"examples":[5],"of":[6,14,21,30,43,47],"type-changing":[7],"generalized":[8],"Calabi--Yau":[9,16,61],"manifolds":[10,17],"using":[11],"Fei's":[12],"construction":[13],"non-K\u00e4hler":[15,60],"on":[18,40],"branched":[19],"covers":[20],"twistor":[22],"spaces":[23],"\\cite{Fei16}.":[24],"The":[25],"structure,":[26],"which":[27],"is":[28,38],"generically":[29],"type":[31,36],"1":[32],"and":[33,50],"changes":[34],"to":[35],"3,":[37],"constructed":[39],"product":[42],"a":[44,51,59],"hyperelliptic":[45],"surface":[46],"genus":[48],"three":[49],"four-torus,":[52],"$\u03a3_3":[53],"\\times":[54],"\\mathbb{T}^4$,":[55],"with":[56],"starting":[57],"point":[58],"structure.":[62]},"counts_by_year":[],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2026-09-24T00:00:00"}