Hida theory over some unitary Shimura varieties without ordinary locus

We develop Hida theory for Shimura varieties of type~A without ordinary locus. In particular we show that the dimension of the space of ordinary forms is bounded independently of the weight and that there is a module of $\Lambda$-adic cuspidal ordinary forms which is of finite type over $\Lambda$, w...

Full description

Saved in:
Bibliographic Details
Published in:American journal of mathematics 2021-06, Vol.143 (3), p.715-751
Main Authors: Brasca, Riccardo, Rosso, Giovanni
Format: Article
Language:English
Subjects:
Loci
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c349t-38076e7e3b00796f495bde761a67b220504c85fe6ae29b2746b916382d4cd87e3
cites
container_end_page 751
container_issue 3
container_start_page 715
container_title American journal of mathematics
container_volume 143
creator Brasca, Riccardo
Rosso, Giovanni
description We develop Hida theory for Shimura varieties of type~A without ordinary locus. In particular we show that the dimension of the space of ordinary forms is bounded independently of the weight and that there is a module of $\Lambda$-adic cuspidal ordinary forms which is of finite type over $\Lambda$, where $\Lambda$ is a twisted Iwasawa algebra.
doi_str_mv 10.1353/ajm.2021.0017
format article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2547640762</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2547640762</sourcerecordid><originalsourceid>FETCH-LOGICAL-c349t-38076e7e3b00796f495bde761a67b220504c85fe6ae29b2746b916382d4cd87e3</originalsourceid><addsrcrecordid>eNpFkE1Lw0AQhhdRsFaP3gOeU2c_spscpVgrFDxUz8smmdANTbfubir-ezdU9DTM8Mw7w0PIPYUF5QV_NP2wYMDoAoCqCzKjUEIuuVKXZAYALK84U9fkJoQ-taCAzchqbVuTxR06_525E_osuAGz8WCjSZPtzg6jN9nJeIvRYsi-bNy5MWbOt_YwIXvXjOGWXHVmH_Dut87Jx-r5fbnON28vr8unTd5wUcWcl6AkKuR1Ol_JTlRF3aKS1EhVMwYFiKYsOpQGWVUzJWRdUclL1oqmLdPenDycc4_efY4You7d6A_ppGaFUFKkfJao_Ew13oXgsdNHb4f0rKagJ1U6qdKTKj2pSrz4S-2xicMY8D9YVaLkQm8nnZNNRvlks-Q_b5xryA</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2547640762</pqid></control><display><type>article</type><title>Hida theory over some unitary Shimura varieties without ordinary locus</title><source>Project Muse:Jisc Collections:Project MUSE Journals Agreement 2024:Premium Collection</source><creator>Brasca, Riccardo ; Rosso, Giovanni</creator><creatorcontrib>Brasca, Riccardo ; Rosso, Giovanni</creatorcontrib><description>We develop Hida theory for Shimura varieties of type~A without ordinary locus. In particular we show that the dimension of the space of ordinary forms is bounded independently of the weight and that there is a module of $\Lambda$-adic cuspidal ordinary forms which is of finite type over $\Lambda$, where $\Lambda$ is a twisted Iwasawa algebra.</description><identifier>ISSN: 0002-9327</identifier><identifier>ISSN: 1080-6377</identifier><identifier>EISSN: 1080-6377</identifier><identifier>DOI: 10.1353/ajm.2021.0017</identifier><language>eng</language><publisher>Baltimore: Johns Hopkins University Press</publisher><subject>Loci</subject><ispartof>American journal of mathematics, 2021-06, Vol.143 (3), p.715-751</ispartof><rights>Copyright © The Johns Hopkins University Press.</rights><rights>Copyright Johns Hopkins University Press Jun 2021</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c349t-38076e7e3b00796f495bde761a67b220504c85fe6ae29b2746b916382d4cd87e3</citedby></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27901,27902</link.rule.ids></links><search><creatorcontrib>Brasca, Riccardo</creatorcontrib><creatorcontrib>Rosso, Giovanni</creatorcontrib><title>Hida theory over some unitary Shimura varieties without ordinary locus</title><title>American journal of mathematics</title><description>We develop Hida theory for Shimura varieties of type~A without ordinary locus. In particular we show that the dimension of the space of ordinary forms is bounded independently of the weight and that there is a module of $\Lambda$-adic cuspidal ordinary forms which is of finite type over $\Lambda$, where $\Lambda$ is a twisted Iwasawa algebra.</description><subject>Loci</subject><issn>0002-9327</issn><issn>1080-6377</issn><issn>1080-6377</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNpFkE1Lw0AQhhdRsFaP3gOeU2c_spscpVgrFDxUz8smmdANTbfubir-ezdU9DTM8Mw7w0PIPYUF5QV_NP2wYMDoAoCqCzKjUEIuuVKXZAYALK84U9fkJoQ-taCAzchqbVuTxR06_525E_osuAGz8WCjSZPtzg6jN9nJeIvRYsi-bNy5MWbOt_YwIXvXjOGWXHVmH_Dut87Jx-r5fbnON28vr8unTd5wUcWcl6AkKuR1Ol_JTlRF3aKS1EhVMwYFiKYsOpQGWVUzJWRdUclL1oqmLdPenDycc4_efY4You7d6A_ppGaFUFKkfJao_Ew13oXgsdNHb4f0rKagJ1U6qdKTKj2pSrz4S-2xicMY8D9YVaLkQm8nnZNNRvlks-Q_b5xryA</recordid><startdate>20210601</startdate><enddate>20210601</enddate><creator>Brasca, Riccardo</creator><creator>Rosso, Giovanni</creator><general>Johns Hopkins University Press</general><scope>AAYXX</scope><scope>CITATION</scope><scope>JQ2</scope></search><sort><creationdate>20210601</creationdate><title>Hida theory over some unitary Shimura varieties without ordinary locus</title><author>Brasca, Riccardo ; Rosso, Giovanni</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c349t-38076e7e3b00796f495bde761a67b220504c85fe6ae29b2746b916382d4cd87e3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Loci</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Brasca, Riccardo</creatorcontrib><creatorcontrib>Rosso, Giovanni</creatorcontrib><collection>CrossRef</collection><collection>ProQuest Computer Science Collection</collection><jtitle>American journal of mathematics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Brasca, Riccardo</au><au>Rosso, Giovanni</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Hida theory over some unitary Shimura varieties without ordinary locus</atitle><jtitle>American journal of mathematics</jtitle><date>2021-06-01</date><risdate>2021</risdate><volume>143</volume><issue>3</issue><spage>715</spage><epage>751</epage><pages>715-751</pages><issn>0002-9327</issn><issn>1080-6377</issn><eissn>1080-6377</eissn><abstract>We develop Hida theory for Shimura varieties of type~A without ordinary locus. In particular we show that the dimension of the space of ordinary forms is bounded independently of the weight and that there is a module of $\Lambda$-adic cuspidal ordinary forms which is of finite type over $\Lambda$, where $\Lambda$ is a twisted Iwasawa algebra.</abstract><cop>Baltimore</cop><pub>Johns Hopkins University Press</pub><doi>10.1353/ajm.2021.0017</doi><tpages>37</tpages><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 0002-9327
ispartof American journal of mathematics, 2021-06, Vol.143 (3), p.715-751
issn 0002-9327
1080-6377
1080-6377
language eng
recordid cdi_proquest_journals_2547640762
source Project Muse:Jisc Collections:Project MUSE Journals Agreement 2024:Premium Collection
subjects Loci
title Hida theory over some unitary Shimura varieties without ordinary locus
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-23T14%3A06%3A26IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Hida%20theory%20over%20some%20unitary%20Shimura%20varieties%20without%20ordinary%20locus&rft.jtitle=American%20journal%20of%20mathematics&rft.au=Brasca,%20Riccardo&rft.date=2021-06-01&rft.volume=143&rft.issue=3&rft.spage=715&rft.epage=751&rft.pages=715-751&rft.issn=0002-9327&rft.eissn=1080-6377&rft_id=info:doi/10.1353/ajm.2021.0017&rft_dat=%3Cproquest_cross%3E2547640762%3C/proquest_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c349t-38076e7e3b00796f495bde761a67b220504c85fe6ae29b2746b916382d4cd87e3%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=2547640762&rft_id=info:pmid/&rfr_iscdi=true