{"id":"https://openalex.org/W4386074757","doi":"https://doi.org/10.1016/j.jnt.2023.07.010","title":"On the observability of Galois representations and the Tate conjecture","display_name":"On the observability of Galois representations and the Tate conjecture","publication_year":2023,"publication_date":"2023-08-22","ids":{"openalex":"https://openalex.org/W4386074757","doi":"https://doi.org/10.1016/j.jnt.2023.07.010"},"language":"en","primary_location":{"id":"doi:10.1016/j.jnt.2023.07.010","doi":"https://doi.org/10.1016/j.jnt.2023.07.010","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jnt.2023.07.010","pdf_url":null,"source":{"id":"https://openalex.org/S40813394","display_name":"Journal of Number Theory","issn_l":"0022-314X","issn":["0022-314X","1096-1658"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-2","poland-100","russia-white-list-3","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Number Theory","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2303.06549","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5006619634","display_name":"Yves Andr\u00e9","orcid":"https://orcid.org/0000-0002-1437-3823","observed_orcids":["https://orcid.org/0000-0002-1437-3823"]},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Yves Andr\u00e9","raw_affiliation_strings":["CNRS, Sorbonne-Universit\u00e9, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNRS, Sorbonne-Universit\u00e9, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I39804081"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5006619634"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I39804081"],"apc_list":{"value":2960,"currency":"USD","value_usd":2960},"apc_paid":null,"fwci":1.4356,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.78172079,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":95},"biblio":{"volume":"270","issue":null,"first_page":"6","last_page":"16"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.6996999979019165,"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"}},"topics":[{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.6996999979019165,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.29829999804496765,"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/T11166","display_name":"Analytic Number Theory Research","score":0.00019999999494757503,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/tate-conjecture","display_name":"Tate conjecture","score":0.9980000257492065},{"id":"https://openalex.org/keywords/galois-representations","display_name":"Galois representations","score":0.9570000171661377},{"id":"https://openalex.org/keywords/observability","display_name":"observability","score":0.8690000176429749},{"id":"https://openalex.org/keywords/semisimplicity","display_name":"semisimplicity","score":0.7960000038146973},{"id":"https://openalex.org/keywords/p-adic-periods","display_name":"p-adic periods","score":0.7670000195503235},{"id":"https://openalex.org/keywords/transcendence","display_name":"transcendence","score":0.7910000085830688},{"id":"https://openalex.org/keywords/p-adic-hodge-theory","display_name":"p-adic Hodge theory","score":0.8529999852180481},{"id":"https://openalex.org/keywords/smooth-projective-varieties","display_name":"smooth projective varieties","score":0.765999972820282}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9112406969070435},{"id":"https://openalex.org/C145899342","wikidata":"https://www.wikidata.org/wiki/Q3427418","display_name":"Galois module","level":2,"score":0.7070851922035217},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6891580820083618},{"id":"https://openalex.org/C96403706","wikidata":"https://www.wikidata.org/wiki/Q543956","display_name":"Monodromy","level":2,"score":0.6467001438140869},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.6141766309738159},{"id":"https://openalex.org/C36299963","wikidata":"https://www.wikidata.org/wiki/Q1369844","display_name":"Observability","level":2,"score":0.5863618850708008},{"id":"https://openalex.org/C67536143","wikidata":"https://www.wikidata.org/wiki/Q730384","display_name":"Galois group","level":2,"score":0.5791963338851929},{"id":"https://openalex.org/C197968787","wikidata":"https://www.wikidata.org/wiki/Q2383624","display_name":"Differential Galois theory","level":4,"score":0.4758424758911133},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4725486934185028},{"id":"https://openalex.org/C182349385","wikidata":"https://www.wikidata.org/wiki/Q382839","display_name":"Galois cohomology","level":3,"score":0.4580482840538025},{"id":"https://openalex.org/C2781137444","wikidata":"https://www.wikidata.org/wiki/Q237105","display_name":"Sharpening","level":2,"score":0.45640385150909424},{"id":"https://openalex.org/C2779361349","wikidata":"https://www.wikidata.org/wiki/Q193359","display_name":"Transcendence (philosophy)","level":2,"score":0.45054730772972107},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.43714219331741333},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3370552062988281},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13121822476387024},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1016/j.jnt.2023.07.010","doi":"https://doi.org/10.1016/j.jnt.2023.07.010","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jnt.2023.07.010","pdf_url":null,"source":{"id":"https://openalex.org/S40813394","display_name":"Journal of Number Theory","issn_l":"0022-314X","issn":["0022-314X","1096-1658"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-2","poland-100","russia-white-list-3","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Number Theory","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2303.06549","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2303.06549","pdf_url":"https://arxiv.org/pdf/2303.06549","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:HAL:hal-05844588v1","doi":null,"is_oa":true,"landing_page_url":"https://hal.science/hal-05844588","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Number Theory, 2025, 270, pp.6-16. ⟨10.1016/j.jnt.2023.07.010⟩","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.2303.06549","doi":"https://doi.org/10.48550/arxiv.2303.06549","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2303.06549","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:2303.06549","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2303.06549","pdf_url":"https://arxiv.org/pdf/2303.06549","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":"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/W4386074757.pdf","grobid_xml":"https://content.openalex.org/works/W4386074757.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W1483009832","https://openalex.org/W1544986807","https://openalex.org/W1600945992","https://openalex.org/W1621521790","https://openalex.org/W1954666036","https://openalex.org/W1970323954","https://openalex.org/W1974741251","https://openalex.org/W1998475137","https://openalex.org/W2127544880","https://openalex.org/W2248902807","https://openalex.org/W2626548081","https://openalex.org/W2754755192","https://openalex.org/W2963398218","https://openalex.org/W4230832653","https://openalex.org/W4293244603","https://openalex.org/W6600647904"],"related_works":["https://openalex.org/W2754755192","https://openalex.org/W7098920667","https://openalex.org/W7221519749","https://openalex.org/W2138787955","https://openalex.org/W4287902249","https://openalex.org/W2193867730","https://openalex.org/W2951003832","https://openalex.org/W7066731100","https://openalex.org/W640679515","https://openalex.org/W2000358297"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2023-08-23T00:00:00"}