{"id":"https://openalex.org/W7221508264","doi":"https://doi.org/10.48550/arxiv.2610.13939","title":"The Tate Conjecture for Ordinary Calabi-Yau Threefolds","display_name":"The Tate Conjecture for Ordinary Calabi-Yau Threefolds","publication_year":2026,"publication_date":"2026-10-09","ids":{"openalex":"https://openalex.org/W7221508264","doi":"https://doi.org/10.48550/arxiv.2610.13939"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.13939","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.13939","pdf_url":"https://arxiv.org/pdf/2610.13939","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/2610.13939","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056613503","display_name":"Lukas Brantner","orcid":"https://orcid.org/0000-0001-8078-2935","observed_orcids":["https://orcid.org/0000-0001-8078-2935"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Brantner, Lukas","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5056613503"],"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/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/T11680","display_name":"Advanced Algebra and Geometry","score":0.0015999999595806003,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T12351","display_name":"Geometry and complex manifolds","score":0.0,"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/tate-conjecture","display_name":"Tate conjecture","score":0.9959999918937683},{"id":"https://openalex.org/keywords/canonical-lifts","display_name":"canonical lifts","score":0.8009999990463257},{"id":"https://openalex.org/keywords/divisor-classes","display_name":"divisor classes","score":0.8500000238418579},{"id":"https://openalex.org/keywords/finite-fields","display_name":"finite fields","score":0.8289999961853027},{"id":"https://openalex.org/keywords/p-adic-hodge-theory","display_name":"p-adic Hodge theory","score":0.8309999704360962}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8817999958992004},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.7156000137329102},{"id":"https://openalex.org/C203492994","wikidata":"https://www.wikidata.org/wiki/Q909669","display_name":"Divisor (algebraic geometry)","level":2,"score":0.6328999996185303},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5717999935150146},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3555000126361847},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.3465000092983246},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3382999897003174},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.30469998717308044},{"id":"https://openalex.org/C9973445","wikidata":"https://www.wikidata.org/wiki/Q8349849","display_name":"Congruence relation","level":2,"score":0.28940001130104065},{"id":"https://openalex.org/C51641817","wikidata":"https://www.wikidata.org/wiki/Q508173","display_name":"Beal's conjecture","level":3,"score":0.27160000801086426},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.2694999873638153},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.26030001044273376}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.13939","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.13939","pdf_url":"https://arxiv.org/pdf/2610.13939","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.2610.13939","doi":"https://doi.org/10.48550/arxiv.2610.13939","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.13939","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","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.13939","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.13939","pdf_url":"https://arxiv.org/pdf/2610.13939","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":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7221508264.pdf","grobid_xml":"https://content.openalex.org/works/W7221508264.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W4400668366","https://openalex.org/W4407012658"],"related_works":["https://openalex.org/W2094920452","https://openalex.org/W2018742429","https://openalex.org/W7099341386","https://openalex.org/W2017048115","https://openalex.org/W2114272334","https://openalex.org/W640679515","https://openalex.org/W4293076758","https://openalex.org/W2963838302","https://openalex.org/W7134244934","https://openalex.org/W2893991120"],"abstract_inverted_index":{"We":[0],"use":[1],"the":[2,9],"theory":[3],"of":[4],"canonical":[5],"lifts":[6],"to":[7],"prove":[8],"integral":[10],"geometric":[11],"Tate":[12],"conjecture":[13],"for":[14,23],"ordinary":[15,28],"Calabi-Yau":[16,29],"threefolds":[17],"over":[18],"finite":[19],"fields,":[20],"and":[21],"also":[22],"divisor":[24],"classes":[25],"on":[26],"certain":[27],"varieties.":[30]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-13T00:00:00"}
