{"id":"https://openalex.org/W1998255240","doi":"https://doi.org/10.1016/0001-8708(77)90041-x","title":"Geometric reductivity over arbitrary base","display_name":"Geometric reductivity over arbitrary base","publication_year":1977,"publication_date":"1977-12-01","ids":{"openalex":"https://openalex.org/W1998255240","doi":"https://doi.org/10.1016/0001-8708(77)90041-x","mag":"1998255240"},"language":"en","primary_location":{"id":"doi:10.1016/0001-8708(77)90041-x","doi":"https://doi.org/10.1016/0001-8708(77)90041-x","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0001-8708(77)90041-x","pdf_url":"https://www.sciencedirect.com/science/article/pii/000187087790041X/pdf","source":{"id":"https://openalex.org/S122441808","display_name":"Advances in Mathematics","issn_l":"0001-8708","issn":["0001-8708","1090-2082"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-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":"Advances in Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.sciencedirect.com/science/article/pii/000187087790041X/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012893353","display_name":"C. S. Seshadri","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I11947397","display_name":"Tata Institute of Fundamental Research","ror":"https://ror.org/03ht1xw27","country_code":"IN","type":"education","lineage":["https://openalex.org/I11947397","https://openalex.org/I2799351866","https://openalex.org/I3149292468"]},{"id":"https://openalex.org/I40036882","display_name":"Institute for Advanced Study","ror":"https://ror.org/00f809463","country_code":"US","type":"facility","lineage":["https://openalex.org/I40036882"]}],"countries":["IN","US"],"is_corresponding":true,"raw_author_name":"C.S Seshadri","raw_affiliation_strings":["Tata Institute of Fundamental Research, Bombay, India","The Institute for Advanced Study, Princeton, New Jersey, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tata Institute of Fundamental Research, Bombay, India","institution_ids":["https://openalex.org/I11947397"]},{"raw_affiliation_string":"The Institute for Advanced Study, Princeton, New Jersey, USA","institution_ids":["https://openalex.org/I40036882"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5012893353"],"corresponding_institution_ids":["https://openalex.org/I11947397","https://openalex.org/I40036882"],"apc_list":{"value":3790,"currency":"USD","value_usd":3790},"apc_paid":null,"fwci":1.5674,"has_fulltext":true,"cited_by_count":186,"citation_normalized_percentile":{"value":0.83033419,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"26","issue":"3","first_page":"225","last_page":"274"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.5512999892234802,"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":0.5512999892234802,"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":0.4413999915122986,"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":0.0013000000035390258,"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/reductive-group-schemes","display_name":"reductive group schemes","score":0.9179999828338623},{"id":"https://openalex.org/keywords/quotient-spaces","display_name":"quotient spaces","score":0.6840000152587891},{"id":"https://openalex.org/keywords/group-actions-on-modules","display_name":"group actions on modules","score":0.7149999737739563},{"id":"https://openalex.org/keywords/moduli-problem","display_name":"moduli problem","score":0.7670000195503235},{"id":"https://openalex.org/keywords/affine-group-schemes","display_name":"affine group schemes","score":0.7760000228881836},{"id":"https://openalex.org/keywords/noetherian-rings","display_name":"Noetherian rings","score":0.734000027179718},{"id":"https://openalex.org/keywords/reductive-groups","display_name":"reductive groups","score":0.718999981880188}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8735693693161011},{"id":"https://openalex.org/C42058472","wikidata":"https://www.wikidata.org/wiki/Q810214","display_name":"Base (topology)","level":2,"score":0.6608400344848633},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3444458246231079},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.34439826011657715},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3214626908302307},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21423304080963135}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0001-8708(77)90041-x","doi":"https://doi.org/10.1016/0001-8708(77)90041-x","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0001-8708(77)90041-x","pdf_url":"https://www.sciencedirect.com/science/article/pii/000187087790041X/pdf","source":{"id":"https://openalex.org/S122441808","display_name":"Advances in Mathematics","issn_l":"0001-8708","issn":["0001-8708","1090-2082"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-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":"Advances in Mathematics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/0001-8708(77)90041-x","doi":"https://doi.org/10.1016/0001-8708(77)90041-x","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0001-8708(77)90041-x","pdf_url":"https://www.sciencedirect.com/science/article/pii/000187087790041X/pdf","source":{"id":"https://openalex.org/S122441808","display_name":"Advances in Mathematics","issn_l":"0001-8708","issn":["0001-8708","1090-2082"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-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":"Advances in Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1998255240.pdf","grobid_xml":"https://content.openalex.org/works/W1998255240.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W298089073","https://openalex.org/W1493862249","https://openalex.org/W1521322992","https://openalex.org/W1572341022","https://openalex.org/W1995586229","https://openalex.org/W2023707375","https://openalex.org/W2318837283","https://openalex.org/W2583775725","https://openalex.org/W2750069912","https://openalex.org/W4237545434","https://openalex.org/W4249075098","https://openalex.org/W4255550729","https://openalex.org/W4300779862"],"related_works":["https://openalex.org/W1559389192","https://openalex.org/W3089386764","https://openalex.org/W1995586229","https://openalex.org/W2312925980","https://openalex.org/W2023707375","https://openalex.org/W2081644037","https://openalex.org/W7098471629","https://openalex.org/W2070150627","https://openalex.org/W2963652363","https://openalex.org/W158273436"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":12},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":9}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}