{"id":"https://openalex.org/W2159475889","doi":"https://doi.org/10.1016/s0764-4442(00)01808-5","title":"On the parity of ranks of Selmer groups II","display_name":"On the parity of ranks of Selmer groups II","publication_year":2001,"publication_date":"2001-02-01","ids":{"openalex":"https://openalex.org/W2159475889","doi":"https://doi.org/10.1016/s0764-4442(00)01808-5","mag":"2159475889"},"language":"fr","primary_location":{"id":"doi:10.1016/s0764-4442(00)01808-5","doi":"https://doi.org/10.1016/s0764-4442(00)01808-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0764-4442(00)01808-5","pdf_url":null,"source":{"id":"https://openalex.org/S4210179703","display_name":"Comptes Rendus de l Acad\u00e9mie des Sciences - Series I - Mathematics","issn_l":"0764-4442","issn":["0764-4442","1778-3577"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","norway-1"],"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":"Comptes Rendus de l'Acad\u00e9mie des Sciences - Series I - Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/math/0101271","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034303327","display_name":"Jan Nekov\u00e1\u0159","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Jan Nekov\u00e1\u0159","raw_affiliation_strings":["Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WB, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WB, UK","institution_ids":["https://openalex.org/I241749"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5034303327"],"corresponding_institution_ids":["https://openalex.org/I241749"],"apc_list":null,"apc_paid":null,"fwci":4.0875,"has_fulltext":false,"cited_by_count":61,"citation_normalized_percentile":{"value":0.94375424,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":"332","issue":"2","first_page":"99","last_page":"104"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.8413000106811523,"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"}},"topics":[{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.8413000106811523,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.12520000338554382,"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":0.017000000923871994,"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/parity-conjecture","display_name":"parity conjecture","score":0.9100000262260437},{"id":"https://openalex.org/keywords/selmer-groups","display_name":"Selmer groups","score":0.9959999918937683},{"id":"https://openalex.org/keywords/elliptic-curves","display_name":"elliptic curves","score":0.8640000224113464},{"id":"https://openalex.org/keywords/good-ordinary-reduction","display_name":"good ordinary reduction","score":0.9470000267028809},{"id":"https://openalex.org/keywords/rational-points","display_name":"rational points","score":0.4350000023841858},{"id":"https://openalex.org/keywords/iwasawa-theory","display_name":"Iwasawa theory","score":0.6589999794960022}],"concepts":[{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.7461333870887756},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7355936169624329},{"id":"https://openalex.org/C2777151079","wikidata":"https://www.wikidata.org/wiki/Q141160","display_name":"Parity (physics)","level":2,"score":0.71188884973526},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.6313079595565796},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5310989618301392},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16100117564201355},{"id":"https://openalex.org/C109214941","wikidata":"https://www.wikidata.org/wiki/Q18334","display_name":"Particle physics","level":1,"score":0.06705105304718018}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1016/s0764-4442(00)01808-5","doi":"https://doi.org/10.1016/s0764-4442(00)01808-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0764-4442(00)01808-5","pdf_url":null,"source":{"id":"https://openalex.org/S4210179703","display_name":"Comptes Rendus de l Acad\u00e9mie des Sciences - Series I - Mathematics","issn_l":"0764-4442","issn":["0764-4442","1778-3577"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","norway-1"],"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":"Comptes Rendus de l'Acad\u00e9mie des Sciences - Series I - Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:math/0101271","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/math/0101271","pdf_url":"https://arxiv.org/pdf/math/0101271","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":"pmh:oai:CiteSeerX.psu:10.1.1.234.3621","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.234.3621","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/math/0101271v1.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.569.7088","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.569.7088","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.jussieu.fr/~nekovar/pu/parity2.pdf","raw_type":"text"},{"id":"doi:10.48550/arxiv.math/0101271","doi":"https://doi.org/10.48550/arxiv.math/0101271","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.math/0101271","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":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:math/0101271","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/math/0101271","pdf_url":"https://arxiv.org/pdf/math/0101271","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":false,"pdf":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W43097866","https://openalex.org/W50664440","https://openalex.org/W120124575","https://openalex.org/W135367007","https://openalex.org/W177399353","https://openalex.org/W854907649","https://openalex.org/W1494783320","https://openalex.org/W1507725303","https://openalex.org/W1515288351","https://openalex.org/W1519801683","https://openalex.org/W1592221589","https://openalex.org/W1592835128","https://openalex.org/W1967698651","https://openalex.org/W1975475886","https://openalex.org/W1990439610","https://openalex.org/W1992506958","https://openalex.org/W1998149513","https://openalex.org/W2001572759","https://openalex.org/W2002596763","https://openalex.org/W2013129046","https://openalex.org/W2024965120","https://openalex.org/W2029489170","https://openalex.org/W2030101068","https://openalex.org/W2052393326","https://openalex.org/W2052817046","https://openalex.org/W2057452383","https://openalex.org/W2077765813","https://openalex.org/W2083694890","https://openalex.org/W2083946017","https://openalex.org/W2084576078","https://openalex.org/W2088557582","https://openalex.org/W2089067481","https://openalex.org/W2090906809","https://openalex.org/W2093995753","https://openalex.org/W2127409294","https://openalex.org/W2128765897","https://openalex.org/W2131435348","https://openalex.org/W2312902205","https://openalex.org/W2333976070","https://openalex.org/W2335187233","https://openalex.org/W2596732458","https://openalex.org/W2621899474"],"related_works":["https://openalex.org/W2202176122","https://openalex.org/W3102545176","https://openalex.org/W1577315650","https://openalex.org/W2140610161","https://openalex.org/W7212521183","https://openalex.org/W4313905141","https://openalex.org/W4399447773","https://openalex.org/W7095585552","https://openalex.org/W2338370800","https://openalex.org/W2107340925"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2026-11-03T10:50:19.383937","created_date":"2016-06-24T00:00:00"}
