{"id":"https://openalex.org/W2950596262","doi":"https://doi.org/10.48550/arxiv.1203.2478","title":"Around rationality of integral cycles","display_name":"Around rationality of integral cycles","publication_year":2012,"publication_date":"2012-03-12","ids":{"openalex":"https://openalex.org/W2950596262","doi":"https://doi.org/10.48550/arxiv.1203.2478","mag":"2950596262"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:1203.2478","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1203.2478","pdf_url":"https://arxiv.org/pdf/1203.2478","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","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1203.2478","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055592924","display_name":"Rapha\u00ebl Fino","orcid":"https://orcid.org/0000-0002-5062-8344","observed_orcids":["https://orcid.org/0000-0002-5062-8344"]},"institutions":[{"id":"https://openalex.org/I3017942884","display_name":"Institut de Math\u00e9matiques de Jussieu-Paris Rive Gauche","ror":"https://ror.org/03fk87k11","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I3017942884","https://openalex.org/I39804081","https://openalex.org/I40434647","https://openalex.org/I4210124654","https://openalex.org/I4210141950","https://openalex.org/I48825208"]},{"id":"https://openalex.org/I4405264447","display_name":"Universit\u00e9 Pierre-et-Marie-Curie","ror":"https://ror.org/01yvrd251","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081","https://openalex.org/I4405264447"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Fino, Rapha\u00ebl","raw_affiliation_strings":["UPMC Sorbonne Universit\u00e9s , Institut de Math\u00e9matiques de Jussieu , Paris , FRANCE","UPMC Sorbonne Universit\u00e9s, Institut de Math\u00e9matiques de Jussieu, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UPMC Sorbonne Universit\u00e9s , Institut de Math\u00e9matiques de Jussieu , Paris , FRANCE","institution_ids":["https://openalex.org/I3017942884","https://openalex.org/I4405264447"]},{"raw_affiliation_string":"UPMC Sorbonne Universit\u00e9s, Institut de Math\u00e9matiques de Jussieu, Paris, France","institution_ids":["https://openalex.org/I3017942884","https://openalex.org/I4405264447"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5055592924"],"corresponding_institution_ids":["https://openalex.org/I3017942884","https://openalex.org/I4405264447"],"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":0.9843999743461609,"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":0.9843999743461609,"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":0.008799999952316284,"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/T11680","display_name":"Advanced Algebra and Geometry","score":0.003000000026077032,"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/steenrod-operations","display_name":"Steenrod operations","score":0.7059999704360962},{"id":"https://openalex.org/keywords/algebraic-cobordism","display_name":"algebraic cobordism","score":0.8230000138282776},{"id":"https://openalex.org/keywords/quadric-hypersurfaces","display_name":"quadric hypersurfaces","score":0.6269999742507935}],"concepts":[{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.7897483110427856},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7800980806350708},{"id":"https://openalex.org/C201717286","wikidata":"https://www.wikidata.org/wiki/Q938185","display_name":"Rationality","level":2,"score":0.6952074766159058},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.6792254447937012},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.6417085528373718},{"id":"https://openalex.org/C75764964","wikidata":"https://www.wikidata.org/wiki/Q870797","display_name":"Modular form","level":2,"score":0.5958318114280701},{"id":"https://openalex.org/C56213913","wikidata":"https://www.wikidata.org/wiki/Q2546666","display_name":"Cobordism","level":2,"score":0.5672571063041687},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5346210598945618},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5275074243545532},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4897456169128418},{"id":"https://openalex.org/C2779219049","wikidata":"https://www.wikidata.org/wiki/Q852117","display_name":"Quadric","level":2,"score":0.4870748817920685},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3277626633644104},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1743333637714386},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.13705870509147644},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.060060590505599976},{"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":"pmh:oai:arXiv.org:1203.2478","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1203.2478","pdf_url":"https://arxiv.org/pdf/1203.2478","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":"mag:2950596262","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1203.2478","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.226.7144","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.226.7144","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.uni-bielefeld.de/LAG/man/462.pdf","raw_type":"text"},{"id":"doi:10.48550/arxiv.1203.2478","doi":"https://doi.org/10.48550/arxiv.1203.2478","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1203.2478","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1203.2478","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1203.2478","pdf_url":"https://arxiv.org/pdf/1203.2478","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":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2950596262.pdf","grobid_xml":"https://content.openalex.org/works/W2950596262.grobid-xml"},"referenced_works_count":3,"referenced_works":["https://openalex.org/W577276243","https://openalex.org/W1986973358","https://openalex.org/W2341518024"],"related_works":["https://openalex.org/W1622287741","https://openalex.org/W23867566","https://openalex.org/W2100666569","https://openalex.org/W2962685779","https://openalex.org/W2994329253","https://openalex.org/W562112493","https://openalex.org/W2210259970","https://openalex.org/W1535027507","https://openalex.org/W2333728134","https://openalex.org/W1514458543","https://openalex.org/W2505334762","https://openalex.org/W1500727543","https://openalex.org/W169416457","https://openalex.org/W2117244912","https://openalex.org/W905752518","https://openalex.org/W47488626","https://openalex.org/W791631935","https://openalex.org/W116579844","https://openalex.org/W2046611384","https://openalex.org/W1541961427"],"abstract_inverted_index":{"In":[0],"this":[1],"article":[2],"we":[3],"prove":[4],"a":[5,18],"result":[6,32],"comparing":[7],"rationality":[8],"of":[9,17,30,50],"integral":[10,28],"algebraic":[11,59],"cycles":[12],"over":[13,21],"the":[14,22,31,48,65,71],"function":[15],"field":[16],"quadric":[19],"and":[20,74],"base":[23],"field.":[24],"This":[25],"is":[26],"an":[27],"version":[29],"known":[33],"for":[34],"coefficients":[35],"modulo":[36,66],"2.":[37,81],"Those":[38],"results":[39],"have":[40],"already":[41],"been":[42],"proved":[43],"by":[44],"Alexander":[45],"Vishik":[46],"in":[47,70,76],"case":[49],"characteristic":[51,78],"0,":[52],"which":[53],"allowed":[54],"him":[55],"to":[56],"work":[57,75],"with":[58],"cobordism":[60],"theory.":[61],"Our":[62],"proofs":[63],"use":[64],"2":[67],"Steenrod":[68],"operations":[69],"Chow":[72],"theory":[73],"any":[77],"different":[79],"from":[80]},"counts_by_year":[],"updated_date":"2026-10-08T09:06:37.294493","created_date":"2025-10-10T00:00:00"}