{"id":"https://openalex.org/W2006772088","doi":"https://doi.org/10.1215/00294527-2143961","title":"Algebraization, Transcendence, and D-Group Schemes","display_name":"Algebraization, Transcendence, and D-Group Schemes","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2006772088","doi":"https://doi.org/10.1215/00294527-2143961","mag":"2006772088"},"language":"en","primary_location":{"id":"doi:10.1215/00294527-2143961","is_oa":true,"landing_page_url":"https://doi.org/10.1215/00294527-2143961","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-54/issue-3-4/Algebraization-Transcendence-and-D-Group-Schemes/10.1215/00294527-2143961.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-54/issue-3-4/Algebraization-Transcendence-and-D-Group-Schemes/10.1215/00294527-2143961.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044456334","display_name":"Jean-Beno\u00eet Bost","orcid":null},"institutions":[{"id":"https://openalex.org/I3019441195","display_name":"Laboratoire de Math\u00e9matiques d'Orsay","ror":"https://ror.org/03ab0zs98","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I3019441195"]},{"id":"https://openalex.org/I102197404","display_name":"Universit\u00e9 Paris-Sud","ror":"https://ror.org/028rypz17","country_code":"FR","type":"education","lineage":["https://openalex.org/I102197404"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Jean-Beno\u00eet Bost","raw_affiliation_strings":["D\u00e9partement de Math\u00e9matiques, Universit\u00e9 Paris-Sud, B\u00e2timent 425, 91405 Orsay cedex, France"],"affiliations":[{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matiques, Universit\u00e9 Paris-Sud, B\u00e2timent 425, 91405 Orsay cedex, France","institution_ids":["https://openalex.org/I102197404","https://openalex.org/I3019441195"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5044456334"],"corresponding_institution_ids":["https://openalex.org/I102197404","https://openalex.org/I3019441195"],"apc_list":null,"apc_paid":null,"fwci":1.3435,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.78689242,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"54","issue":"3-4","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":0.9998999834060669,"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":0.9998999834060669,"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":0.9947999715805054,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9907000064849854,"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/mathematics","display_name":"Mathematics","score":0.8298219442367554},{"id":"https://openalex.org/keywords/codimension","display_name":"Codimension","score":0.8052543997764587},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.7649588584899902},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.717237651348114},{"id":"https://openalex.org/keywords/transcendence","display_name":"Transcendence (philosophy)","score":0.5820111036300659},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.5491443276405334},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5482878088951111},{"id":"https://openalex.org/keywords/diophantine-approximation","display_name":"Diophantine approximation","score":0.42310744524002075},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.41865119338035583},{"id":"https://openalex.org/keywords/bar","display_name":"Bar (unit)","score":0.41443151235580444},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4130600094795227},{"id":"https://openalex.org/keywords/diophantine-equation","display_name":"Diophantine equation","score":0.3696979284286499},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.24431177973747253},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20420515537261963},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07546237111091614},{"id":"https://openalex.org/keywords/theology","display_name":"Theology","score":0.07094207406044006}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8298219442367554},{"id":"https://openalex.org/C83979697","wikidata":"https://www.wikidata.org/wiki/Q1778247","display_name":"Codimension","level":2,"score":0.8052543997764587},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.7649588584899902},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.717237651348114},{"id":"https://openalex.org/C2779361349","wikidata":"https://www.wikidata.org/wiki/Q193359","display_name":"Transcendence (philosophy)","level":2,"score":0.5820111036300659},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.5491443276405334},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5482878088951111},{"id":"https://openalex.org/C102966492","wikidata":"https://www.wikidata.org/wiki/Q1227061","display_name":"Diophantine approximation","level":3,"score":0.42310744524002075},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.41865119338035583},{"id":"https://openalex.org/C188721877","wikidata":"https://www.wikidata.org/wiki/Q103510","display_name":"Bar (unit)","level":2,"score":0.41443151235580444},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4130600094795227},{"id":"https://openalex.org/C206530611","wikidata":"https://www.wikidata.org/wiki/Q905896","display_name":"Diophantine equation","level":2,"score":0.3696979284286499},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.24431177973747253},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20420515537261963},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07546237111091614},{"id":"https://openalex.org/C27206212","wikidata":"https://www.wikidata.org/wiki/Q34178","display_name":"Theology","level":1,"score":0.07094207406044006},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1215/00294527-2143961","is_oa":true,"landing_page_url":"https://doi.org/10.1215/00294527-2143961","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-54/issue-3-4/Algebraization-Transcendence-and-D-Group-Schemes/10.1215/00294527-2143961.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1301.4102","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1301.4102","pdf_url":"https://arxiv.org/pdf/1301.4102","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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:CULeuclid:euclid.ndjfl/1376053771","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.ndjfl/1376053771","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"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":"","raw_type":"Text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.767.650","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.767.650","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1301.4102.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1215/00294527-2143961","is_oa":true,"landing_page_url":"https://doi.org/10.1215/00294527-2143961","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-54/issue-3-4/Algebraization-Transcendence-and-D-Group-Schemes/10.1215/00294527-2143961.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2128943009","display_name":"Model Theory and interactions with geometry","funder_award_id":"ANR-09-BLAN-0047","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320322893","display_name":"Institut Universitaire de France","ror":"https://ror.org/055khg266"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2006772088.pdf","grobid_xml":"https://content.openalex.org/works/W2006772088.grobid-xml"},"referenced_works_count":102,"referenced_works":["https://openalex.org/W145263383","https://openalex.org/W145364997","https://openalex.org/W203220670","https://openalex.org/W261160452","https://openalex.org/W426567240","https://openalex.org/W573634113","https://openalex.org/W588540832","https://openalex.org/W1496931500","https://openalex.org/W1527219796","https://openalex.org/W1530355788","https://openalex.org/W1533574345","https://openalex.org/W1549395637","https://openalex.org/W1549448655","https://openalex.org/W1559582754","https://openalex.org/W1570525646","https://openalex.org/W1577427372","https://openalex.org/W1583139173","https://openalex.org/W1600084545","https://openalex.org/W1845187874","https://openalex.org/W1882311076","https://openalex.org/W1966115225","https://openalex.org/W1973909168","https://openalex.org/W1979449243","https://openalex.org/W1979824290","https://openalex.org/W1986285963","https://openalex.org/W1988223318","https://openalex.org/W1988342886","https://openalex.org/W1994749582","https://openalex.org/W1998235438","https://openalex.org/W1999877358","https://openalex.org/W2019301907","https://openalex.org/W2029228320","https://openalex.org/W2030228724","https://openalex.org/W2031397181","https://openalex.org/W2031638674","https://openalex.org/W2035980621","https://openalex.org/W2049835147","https://openalex.org/W2062313277","https://openalex.org/W2063701439","https://openalex.org/W2067894604","https://openalex.org/W2081140147","https://openalex.org/W2082238794","https://openalex.org/W2083889501","https://openalex.org/W2087623002","https://openalex.org/W2090572006","https://openalex.org/W2091474473","https://openalex.org/W2092367790","https://openalex.org/W2092931269","https://openalex.org/W2092940386","https://openalex.org/W2093322610","https://openalex.org/W2096287896","https://openalex.org/W2109493996","https://openalex.org/W2112717553","https://openalex.org/W2129176997","https://openalex.org/W2134023805","https://openalex.org/W2136226659","https://openalex.org/W2145220304","https://openalex.org/W2146111369","https://openalex.org/W2158861602","https://openalex.org/W2167031861","https://openalex.org/W2170534160","https://openalex.org/W2243983621","https://openalex.org/W2246795274","https://openalex.org/W2261866996","https://openalex.org/W2312506951","https://openalex.org/W2314686410","https://openalex.org/W2315732414","https://openalex.org/W2320667946","https://openalex.org/W2326169283","https://openalex.org/W2328141201","https://openalex.org/W2477125147","https://openalex.org/W2482791197","https://openalex.org/W2488844576","https://openalex.org/W2489226774","https://openalex.org/W2506597894","https://openalex.org/W2584639914","https://openalex.org/W2585246854","https://openalex.org/W2585880302","https://openalex.org/W2599521437","https://openalex.org/W2617358706","https://openalex.org/W2939466826","https://openalex.org/W3037055975","https://openalex.org/W3151791057","https://openalex.org/W3159709041","https://openalex.org/W3177171550","https://openalex.org/W4205798499","https://openalex.org/W4210347727","https://openalex.org/W4230154978","https://openalex.org/W4231119614","https://openalex.org/W4233636856","https://openalex.org/W4234835606","https://openalex.org/W4236168095","https://openalex.org/W4237364295","https://openalex.org/W4239621346","https://openalex.org/W4242331221","https://openalex.org/W4243823177","https://openalex.org/W4247890365","https://openalex.org/W4248532778","https://openalex.org/W4252398514","https://openalex.org/W4293045476","https://openalex.org/W4298415379","https://openalex.org/W4299482635"],"related_works":["https://openalex.org/W1861797342","https://openalex.org/W2323172212","https://openalex.org/W2950310075","https://openalex.org/W4366459492","https://openalex.org/W2952962099","https://openalex.org/W2011180239","https://openalex.org/W2480688850","https://openalex.org/W2564990357","https://openalex.org/W3020535784","https://openalex.org/W1725899776"],"abstract_inverted_index":{"We":[0,66],"present":[1],"a":[2,84],"conjecture":[3,27,72],"in":[4,40,46,78],"Diophantine":[5],"geometry":[6,44],"concerning":[7],"the":[8,24,52,69],"construction":[9],"of":[10,30,54,75],"line":[11],"bundles":[12],"over":[13,17,61,64,81],"smooth":[14],"projective":[15],"varieties":[16,80],"Q\u00af.":[18,65],"This":[19],"conjecture,":[20],"closely":[21],"related":[22],"to":[23,58],"Grothendieck":[25,70],"period":[26,71],"for":[28,73],"cycles":[29,74],"codimension":[31,76],"1,":[32],"is":[33],"also":[34,67],"motivated":[35],"by":[36],"classical":[37,85],"algebraization":[38],"results":[39],"analytic":[41],"and":[42,45],"formal":[43],"transcendence":[47,86],"theory.":[48],"Its":[49],"formulation":[50],"involves":[51],"consideration":[53],"D-group":[55],"schemes":[56,60],"attached":[57],"abelian":[59,79],"algebraic":[62],"curves":[63],"derive":[68],"1":[77],"Q\u00af":[82],"from":[83],"theorem":[87],"\u00e0":[88],"la":[89],"Schneider\u2013Lang.":[90]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-11T08:14:18.477133","created_date":"2025-10-10T00:00:00"}