Cuspidal class number of the tower of modular curves X 1( Np n )
Identifieur interne : 000445 ( Main/Exploration ); précédent : 000444; suivant : 000446Cuspidal class number of the tower of modular curves X 1( Np n )
Auteurs : Hae-Sang Sun [Allemagne, Corée du Sud]Source :
- Mathematische Annalen [ 0025-5831 ] ; 2010-12-01.
Abstract
Abstract: We consider a cuspidal class number, which is the order of a subgroup of the full cuspidal divisor class group of X 1(Np n) with $${p\nmid N}$$ and n ≥ 1. By studying the second generalized Bernoulli numbers, we obtain results similar to ones (Ferrero and Washington in Ann Math (2) 109(2):377–395, 1979; Washington in Invent Math 49:87–97, 1978) about the relative class numbers of cyclotomic $${\mathbb{Z}_p}$$-extension of an abelian number field.
Url:
DOI: 10.1007/s00208-010-0505-7
Affiliations:
- Allemagne, Corée du Sud
- District de Cologne, Rhénanie-du-Nord-Westphalie, Région capitale de Séoul
- Bonn, Séoul
Links toward previous steps (curation, corpus...)
- to stream Istex, to step Corpus: 000F01
- to stream Istex, to step Curation: 000F01
- to stream Istex, to step Checkpoint: 000401
- to stream Main, to step Merge: 000445
- to stream Main, to step Curation: 000445
Le document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">Cuspidal class number of the tower of modular curves X 1( Np n )</title><author><name sortKey="Sun, Hae Sang" sort="Sun, Hae Sang" uniqKey="Sun H" first="Hae-Sang" last="Sun">Hae-Sang Sun</name></author></titleStmt><publicationStmt><idno type="wicri:source">ISTEX</idno><idno type="RBID">ISTEX:4958E29FE2BFE6815349A5A68A41F97CFD0BF3D8</idno><date when="2010" year="2010">2010</date><idno type="doi">10.1007/s00208-010-0505-7</idno><idno type="url">https://api.istex.fr/document/4958E29FE2BFE6815349A5A68A41F97CFD0BF3D8/fulltext/pdf</idno><idno type="wicri:Area/Istex/Corpus">000F01</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">000F01</idno><idno type="wicri:Area/Istex/Curation">000F01</idno><idno type="wicri:Area/Istex/Checkpoint">000401</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Checkpoint">000401</idno><idno type="wicri:doubleKey">0025-5831:2010:Sun H:cuspidal:class:number</idno><idno type="wicri:Area/Main/Merge">000445</idno><idno type="wicri:Area/Main/Curation">000445</idno><idno type="wicri:Area/Main/Exploration">000445</idno></publicationStmt><sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">Cuspidal class number of the tower of modular curves X 1( Np n )</title><author><name sortKey="Sun, Hae Sang" sort="Sun, Hae Sang" uniqKey="Sun H" first="Hae-Sang" last="Sun">Hae-Sang Sun</name><affiliation wicri:level="3"><country xml:lang="fr">Allemagne</country><wicri:regionArea>Max-Planck Institut für Mathematik Bonn, Vivatsgasse 7, 53111, Bonn</wicri:regionArea><placeName><region type="land" nuts="1">Rhénanie-du-Nord-Westphalie</region><region type="district" nuts="2">District de Cologne</region><settlement type="city">Bonn</settlement></placeName></affiliation><affiliation wicri:level="3"><country xml:lang="fr">Corée du Sud</country><wicri:regionArea>Korea Institute for Advanced Study, Hoegiro 87, Dongdaemun-gu, 130-722, Seoul</wicri:regionArea><placeName><settlement type="city">Séoul</settlement><region type="capital">Région capitale de Séoul</region></placeName></affiliation><affiliation wicri:level="1"><country wicri:rule="url">Allemagne</country></affiliation><affiliation wicri:level="1"><country wicri:rule="url">Corée du Sud</country></affiliation></author></analytic><monogr></monogr><series><title level="j">Mathematische Annalen</title><title level="j" type="abbrev">Math. Ann.</title><idno type="ISSN">0025-5831</idno><idno type="eISSN">1432-1807</idno><imprint><publisher>Springer-Verlag</publisher><pubPlace>Berlin/Heidelberg</pubPlace><date type="published" when="2010-12-01">2010-12-01</date><biblScope unit="volume">348</biblScope><biblScope unit="issue">4</biblScope><biblScope unit="page" from="909">909</biblScope><biblScope unit="page" to="927">927</biblScope></imprint><idno type="ISSN">0025-5831</idno></series></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0025-5831</idno></seriesStmt></fileDesc><profileDesc><textClass></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Abstract: We consider a cuspidal class number, which is the order of a subgroup of the full cuspidal divisor class group of X 1(Np n) with $${p\nmid N}$$ and n ≥ 1. By studying the second generalized Bernoulli numbers, we obtain results similar to ones (Ferrero and Washington in Ann Math (2) 109(2):377–395, 1979; Washington in Invent Math 49:87–97, 1978) about the relative class numbers of cyclotomic $${\mathbb{Z}_p}$$-extension of an abelian number field.</div></front></TEI><affiliations><list><country><li>Allemagne</li><li>Corée du Sud</li></country><region><li>District de Cologne</li><li>Rhénanie-du-Nord-Westphalie</li><li>Région capitale de Séoul</li></region><settlement><li>Bonn</li><li>Séoul</li></settlement></list><tree><country name="Allemagne"><region name="Rhénanie-du-Nord-Westphalie"><name sortKey="Sun, Hae Sang" sort="Sun, Hae Sang" uniqKey="Sun H" first="Hae-Sang" last="Sun">Hae-Sang Sun</name></region><name sortKey="Sun, Hae Sang" sort="Sun, Hae Sang" uniqKey="Sun H" first="Hae-Sang" last="Sun">Hae-Sang Sun</name></country><country name="Corée du Sud"><region name="Région capitale de Séoul"><name sortKey="Sun, Hae Sang" sort="Sun, Hae Sang" uniqKey="Sun H" first="Hae-Sang" last="Sun">Hae-Sang Sun</name></region><name sortKey="Sun, Hae Sang" sort="Sun, Hae Sang" uniqKey="Sun H" first="Hae-Sang" last="Sun">Hae-Sang Sun</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/Mathematiques/explor/BourbakiV1/Data/Main/Exploration
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 000445 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 000445 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien
|wiki= Wicri/Mathematiques
|area= BourbakiV1
|flux= Main
|étape= Exploration
|type= RBID
|clé= ISTEX:4958E29FE2BFE6815349A5A68A41F97CFD0BF3D8
|texte= Cuspidal class number of the tower of modular curves X 1( Np n )
}}
| This area was generated with Dilib version V0.6.33. |  |