{"id":"https://openalex.org/W910231098","doi":"https://doi.org/10.1007/s00222-019-00882-5","title":"Strata Hasse invariants, Hecke algebras and Galois representations","display_name":"Strata Hasse invariants, Hecke algebras and Galois representations","publication_year":2019,"publication_date":"2019-04-26","ids":{"openalex":"https://openalex.org/W910231098","doi":"https://doi.org/10.1007/s00222-019-00882-5","mag":"910231098"},"language":"en","primary_location":{"id":"doi:10.1007/s00222-019-00882-5","doi":"https://doi.org/10.1007/s00222-019-00882-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00222-019-00882-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00222-019-00882-5.pdf","source":{"id":"https://openalex.org/S98347115","display_name":"Inventiones mathematicae","issn_l":"0020-9910","issn":["0020-9910","1432-1297"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Inventiones mathematicae","raw_type":"journal-article"},"parent_works":[],"lineage":["https://openalex.org/W910231098"],"child_works_count":0,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00222-019-00882-5.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000106412","display_name":"Wushi Goldring","orcid":"https://orcid.org/0000-0002-7079-6695","observed_orcids":["https://orcid.org/0000-0002-7079-6695"]},"institutions":[{"id":"https://openalex.org/I161593684","display_name":"Stockholm University","ror":"https://ror.org/05f0yaq80","country_code":"SE","type":"education","lineage":["https://openalex.org/I161593684"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Wushi Goldring","raw_affiliation_strings":["Department of Mathematics, Stockholm University, 10691, Stockholm, Sweden","Department of Mathematics, Stockholm University, Stockholm, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Stockholm University, 10691, Stockholm, Sweden","institution_ids":["https://openalex.org/I161593684"]},{"raw_affiliation_string":"Department of Mathematics, Stockholm University, Stockholm, Sweden","institution_ids":["https://openalex.org/I161593684"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017276144","display_name":"Jean-Stefan Koskivirta","orcid":"https://orcid.org/0000-0002-3796-5207","observed_orcids":["https://orcid.org/0000-0002-3796-5207"]},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Jean-Stefan Koskivirta","raw_affiliation_strings":["Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba Meguro-ku, Tokyo, 153-8914, Japan","Graduate School of Mathematical Sciences, #N#            The University of Tokyo, Tokyo, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba Meguro-ku, Tokyo, 153-8914, Japan","institution_ids":["https://openalex.org/I74801974"]},{"raw_affiliation_string":"Graduate School of Mathematical Sciences, #N#            The University of Tokyo, Tokyo, Japan","institution_ids":["https://openalex.org/I74801974"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5000106412"],"corresponding_institution_ids":["https://openalex.org/I161593684"],"apc_list":{"value":3140,"currency":"USD","value_usd":3140},"apc_paid":{"value":3140,"currency":"USD","value_usd":3140},"fwci":11.4433,"has_fulltext":true,"cited_by_count":68,"citation_normalized_percentile":{"value":0.99314957,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":99},"biblio":{"volume":"217","issue":"3","first_page":"887","last_page":"984"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.9976000189781189,"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":0.9976000189781189,"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":0.0019000000320374966,"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":0.0,"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/hasse-invariant","display_name":"Hasse invariant","score":0.8579999804496765},{"id":"https://openalex.org/keywords/shimura-varieties-of-hodge-type","display_name":"Shimura varieties of Hodge type","score":0.8659999966621399},{"id":"https://openalex.org/keywords/hecke-algebras","display_name":"Hecke algebras","score":0.9010000228881836},{"id":"https://openalex.org/keywords/galois-representations","display_name":"Galois representations","score":0.9850000143051147},{"id":"https://openalex.org/keywords/automorphic-representations","display_name":"automorphic representations","score":0.7639999985694885}],"concepts":[{"id":"https://openalex.org/C72587816","wikidata":"https://www.wikidata.org/wiki/Q7497063","display_name":"Shimura variety","level":3,"score":0.9331963062286377},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8566498756408691},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.680383563041687},{"id":"https://openalex.org/C145899342","wikidata":"https://www.wikidata.org/wiki/Q3427418","display_name":"Galois module","level":2,"score":0.5073544383049011},{"id":"https://openalex.org/C187173678","wikidata":"https://www.wikidata.org/wiki/Q1695400","display_name":"Algebraic group","level":3,"score":0.45891934633255005},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3674653172492981},{"id":"https://openalex.org/C75764964","wikidata":"https://www.wikidata.org/wiki/Q870797","display_name":"Modular form","level":2,"score":0.2537694275379181},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.20645326375961304},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09664535522460938}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s00222-019-00882-5","doi":"https://doi.org/10.1007/s00222-019-00882-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00222-019-00882-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00222-019-00882-5.pdf","source":{"id":"https://openalex.org/S98347115","display_name":"Inventiones mathematicae","issn_l":"0020-9910","issn":["0020-9910","1432-1297"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Inventiones mathematicae","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1507.05032","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1507.05032","pdf_url":"https://arxiv.org/pdf/1507.05032","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:910231098","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1507.05032.pdf","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":"doi:10.48550/arxiv.1507.05032","doi":"https://doi.org/10.48550/arxiv.1507.05032","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1507.05032","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":"Preprint"}],"best_oa_location":{"id":"doi:10.1007/s00222-019-00882-5","doi":"https://doi.org/10.1007/s00222-019-00882-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00222-019-00882-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00222-019-00882-5.pdf","source":{"id":"https://openalex.org/S98347115","display_name":"Inventiones mathematicae","issn_l":"0020-9910","issn":["0020-9910","1432-1297"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Inventiones mathematicae","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G5031418649","display_name":"\uff27\u30b8\u30c3\u30d7\u3092\u7528\u3044\u305f\u5fd7\u6751\u591a\u69d8\u4f53\u306e\u5e7e\u4f55\u3068\u6cd5\uff50\u4fdd\u578b\u5f62\u5f0f\u306e\u7814\u7a76","funder_award_id":"18F18311","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320325669","display_name":"Stockholms Universitet","ror":"https://ror.org/05f0yaq80"},{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W910231098.pdf","grobid_xml":"https://content.openalex.org/works/W910231098.grobid-xml"},"referenced_works_count":109,"referenced_works":["https://openalex.org/W9545617","https://openalex.org/W37669149","https://openalex.org/W63516667","https://openalex.org/W571835842","https://openalex.org/W579659058","https://openalex.org/W602934289","https://openalex.org/W608156781","https://openalex.org/W619969954","https://openalex.org/W1482156586","https://openalex.org/W1494783320","https://openalex.org/W1495410784","https://openalex.org/W1505990234","https://openalex.org/W1507410180","https://openalex.org/W1521891684","https://openalex.org/W1522795670","https://openalex.org/W1537203304","https://openalex.org/W1544393547","https://openalex.org/W1544567974","https://openalex.org/W1544614221","https://openalex.org/W1548944036","https://openalex.org/W1549135404","https://openalex.org/W1550902155","https://openalex.org/W1555949566","https://openalex.org/W1579486099","https://openalex.org/W1594761638","https://openalex.org/W1599163056","https://openalex.org/W1645613256","https://openalex.org/W1660498974","https://openalex.org/W1754052076","https://openalex.org/W1864905498","https://openalex.org/W1866925570","https://openalex.org/W1897976028","https://openalex.org/W1909712583","https://openalex.org/W1945058601","https://openalex.org/W1972410551","https://openalex.org/W1975475886","https://openalex.org/W1985314921","https://openalex.org/W2008185589","https://openalex.org/W2009765662","https://openalex.org/W2013834075","https://openalex.org/W2024283190","https://openalex.org/W2025091762","https://openalex.org/W2029076329","https://openalex.org/W2034579279","https://openalex.org/W2035165670","https://openalex.org/W2036570109","https://openalex.org/W2041707983","https://openalex.org/W2053596006","https://openalex.org/W2055844349","https://openalex.org/W2059940891","https://openalex.org/W2066105062","https://openalex.org/W2076873304","https://openalex.org/W2077787272","https://openalex.org/W2089393975","https://openalex.org/W2100291815","https://openalex.org/W2108454222","https://openalex.org/W2126637858","https://openalex.org/W2129099373","https://openalex.org/W2134883812","https://openalex.org/W2140863263","https://openalex.org/W2160866250","https://openalex.org/W2164878192","https://openalex.org/W2170534160","https://openalex.org/W2171065058","https://openalex.org/W2186137364","https://openalex.org/W2204305190","https://openalex.org/W2244962329","https://openalex.org/W2297081017","https://openalex.org/W2301332904","https://openalex.org/W2319666400","https://openalex.org/W2320131900","https://openalex.org/W2320996410","https://openalex.org/W2324779506","https://openalex.org/W2328572543","https://openalex.org/W2333070843","https://openalex.org/W2336041533","https://openalex.org/W2402334842","https://openalex.org/W2487141644","https://openalex.org/W2491676502","https://openalex.org/W2500078391","https://openalex.org/W2507038528","https://openalex.org/W2519574749","https://openalex.org/W2536537110","https://openalex.org/W2561618607","https://openalex.org/W2565180652","https://openalex.org/W2571887050","https://openalex.org/W2593196959","https://openalex.org/W2605684904","https://openalex.org/W2609914080","https://openalex.org/W2736587391","https://openalex.org/W2746281698","https://openalex.org/W2784228406","https://openalex.org/W2892523736","https://openalex.org/W2899360606","https://openalex.org/W2907589956","https://openalex.org/W2962736045","https://openalex.org/W2963017881","https://openalex.org/W2963336892","https://openalex.org/W2963632765","https://openalex.org/W2964047951","https://openalex.org/W2964098495","https://openalex.org/W2964319949","https://openalex.org/W4211184603","https://openalex.org/W4242154845","https://openalex.org/W4248269519","https://openalex.org/W4249549360","https://openalex.org/W4313901720","https://openalex.org/W6665225495","https://openalex.org/W6722987382"],"related_works":["https://openalex.org/W7213480402","https://openalex.org/W2964319949","https://openalex.org/W2339573690","https://openalex.org/W2186137364","https://openalex.org/W4391830478","https://openalex.org/W2036570109","https://openalex.org/W2053596006","https://openalex.org/W2963413949","https://openalex.org/W7095445036","https://openalex.org/W2482160655"],"abstract_inverted_index":{"We":[0],"construct":[1],"group-theoretical":[2,31],"generalizations":[3],"of":[4,11,25,39,51,54,81,115,135,152,163,167],"the":[5,12,49,82,92,112,149],"Hasse":[6,32],"invariant":[7,33],"on":[8,34,172],"strata":[9,147],"closures":[10],"stacks":[13],"$$\\mathop":[14,57,69],"{G\\hbox":[15,58,70],"{-}{}":[16,59,71],"\\mathtt{Zip}}\\nolimits":[17,72],"^{\\mu":[18,73],"}$$":[19,74],".":[20,75],"Restricting":[21],"to":[22,111,128,170,179],"zip":[23,55],"data":[24],"Hodge":[26],"type,":[27],"we":[28],"obtain":[29],"a":[30,40,52,78,120,153,161],"every":[35],"Ekedahl\u2013Oort":[36,146],"stratum":[37],"closure":[38],"general":[41,180],"Hodge-type":[42,116,154,181],"Shimura":[43,117,155,182],"variety.":[44],"A":[45],"key":[46],"tool":[47],"is":[48,142,177],"construction":[50],"stack":[53],"flags":[56],"\\mathtt{ZipFlag}}\\nolimits":[60],"^\\mu":[61],"$$":[62],",":[63],"fibered":[64],"in":[65,148],"flag":[66],"varieties":[67,97,118],"over":[68],"It":[76,141],"provides":[77],"simultaneous":[79],"generalization":[80],"\u201cclassical":[83],"case\u201d":[84],"homogeneous":[85],"complex":[86],"manifolds":[87],"studied":[88,98],"by":[89,99],"Griffiths\u2013Schmid":[90],"and":[91],"\u201cflag":[93],"space\u201d":[94],"for":[95],"Siegel":[96],"Ekedahl\u2013van":[100],"der":[101],"Geer.":[102],"Four":[103],"applications":[104],"are":[105,109,126,157],"obtained:":[106],"(1)":[107],"Pseudo-representations":[108],"attached":[110],"coherent":[113],"cohomology":[114],"modulo":[119],"prime":[121],"power.":[122],"(2)":[123],"Galois":[124],"representations":[125,131],"associated":[127],"many":[129],"automorphic":[130],"with":[132],"non-degenerate":[133],"limit":[134],"discrete":[136],"series":[137],"Archimedean":[138],"component.":[139],"(3)":[140],"shown":[143],"that":[144],"all":[145],"minimal":[150],"compactification":[151],"variety":[156],"affine,":[158],"thereby":[159],"proving":[160],"conjecture":[162],"Oort.":[164],"(4)":[165],"Part":[166],"Serre\u2019s":[168],"letter":[169],"Tate":[171],"mod":[173],"p":[174],"modular":[175],"forms":[176],"generalized":[178],"varieties.":[183]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-11-14T11:04:58.165337","created_date":"2016-06-24T00:00:00"}
