A class of p -adic Galois representations arising from abelian varieties over
Identifieur interne : 000D11 ( Main/Exploration ); précédent : 000D10; suivant : 000D12A class of p -adic Galois representations arising from abelian varieties over
Auteurs : Maja Volkov [France]Source :
- Mathematische Annalen [ 0025-5831 ] ; 2005-04-01.
Abstract
Abstract.: Let V be a p-adic representation of the absolute Galois group G of that becomes crystalline over a finite tame extension, and assume p≠2. We provide necessary and sufficient conditions for V to be isomorphic to the p-adic Tate module Vp() of an abelian variety defined over . These conditions are stated on the filtered (φ,G)-module attached to V.
Url:
DOI: 10.1007/s00208-004-0612-4
Affiliations:
Links toward previous steps (curation, corpus...)
- to stream Istex, to step Corpus: 001773
- to stream Istex, to step Curation: 001773
- to stream Istex, to step Checkpoint: 000C47
- to stream Main, to step Merge: 000D21
- to stream Main, to step Curation: 000D11
Le document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">A class of p -adic Galois representations arising from abelian varieties over</title><author><name sortKey="Volkov, Maja" sort="Volkov, Maja" uniqKey="Volkov M" first="Maja" last="Volkov">Maja Volkov</name></author></titleStmt><publicationStmt><idno type="wicri:source">ISTEX</idno><idno type="RBID">ISTEX:7426EEF1DE6E3CD520290C736A2436D6E6687AD0</idno><date when="2005" year="2005">2005</date><idno type="doi">10.1007/s00208-004-0612-4</idno><idno type="url">https://api.istex.fr/document/7426EEF1DE6E3CD520290C736A2436D6E6687AD0/fulltext/pdf</idno><idno type="wicri:Area/Istex/Corpus">001773</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">001773</idno><idno type="wicri:Area/Istex/Curation">001773</idno><idno type="wicri:Area/Istex/Checkpoint">000C47</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Checkpoint">000C47</idno><idno type="wicri:doubleKey">0025-5831:2005:Volkov M:a:class:of</idno><idno type="wicri:Area/Main/Merge">000D21</idno><idno type="wicri:Area/Main/Curation">000D11</idno><idno type="wicri:Area/Main/Exploration">000D11</idno></publicationStmt><sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">A class of p -adic Galois representations arising from abelian varieties over</title><author><name sortKey="Volkov, Maja" sort="Volkov, Maja" uniqKey="Volkov M" first="Maja" last="Volkov">Maja Volkov</name><affiliation wicri:level="3"><country xml:lang="fr">France</country><wicri:regionArea>Laboratoire de Mathématiques Nicolas Oresme, Université de Caen, Campus II, 5186, 14032, Caen cedex</wicri:regionArea><placeName><region type="region" nuts="2">Région Normandie</region><region type="old region" nuts="2">Basse-Normandie</region><settlement type="city">Caen</settlement></placeName></affiliation><affiliation wicri:level="1"><country wicri:rule="url">France</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="2005-04-01">2005-04-01</date><biblScope unit="volume">331</biblScope><biblScope unit="issue">4</biblScope><biblScope unit="page" from="889">889</biblScope><biblScope unit="page" to="923">923</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.: Let V be a p-adic representation of the absolute Galois group G of that becomes crystalline over a finite tame extension, and assume p≠2. We provide necessary and sufficient conditions for V to be isomorphic to the p-adic Tate module Vp() of an abelian variety defined over . These conditions are stated on the filtered (φ,G)-module attached to V.</div></front></TEI><affiliations><list><country><li>France</li></country><region><li>Basse-Normandie</li><li>Région Normandie</li></region><settlement><li>Caen</li></settlement></list><tree><country name="France"><region name="Région Normandie"><name sortKey="Volkov, Maja" sort="Volkov, Maja" uniqKey="Volkov M" first="Maja" last="Volkov">Maja Volkov</name></region><name sortKey="Volkov, Maja" sort="Volkov, Maja" uniqKey="Volkov M" first="Maja" last="Volkov">Maja Volkov</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 000D11 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 000D11 | 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:7426EEF1DE6E3CD520290C736A2436D6E6687AD0
|texte= A class of p -adic Galois representations arising from abelian varieties over
}}
| This area was generated with Dilib version V0.6.33. |  |