p -Divisible Groups
Identifieur interne : 003427 ( Main/Merge ); précédent : 003426; suivant : 003428p -Divisible Groups
Auteurs : J. T. TateSource :
Abstract
Abstract: After a brief review of facts about finite locally free commutative group schemes in § 1, we define p-divisible groups in § 2, and discuss their relation to formal Lie groups. The § 3 contains some theorems about the action of Gal (K̄/K) on the completion C of the algebraic closure of a local field K of characteristic 0. In § 4 these theorems are applied to obtain information about the Galois module of points of finite order on a p-divisible group G defined over the ring of integers R in such a field K, and to prove that G is determined by that Galois module, or, what is the same, by its generic fiber G ×R K.
Url:
DOI: 10.1007/978-3-642-87942-5_12
Links toward previous steps (curation, corpus...)
- to stream Istex, to step Corpus: 002F58
- to stream Istex, to step Curation: 002F58
- to stream Istex, to step Checkpoint: 003151
Links to Exploration step
ISTEX:E74A3721BBEF82CF44A602CED7B57CEB0E77FB81Le document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">p -Divisible Groups</title>
<author><name sortKey="Tate, J T" sort="Tate, J T" uniqKey="Tate J" first="J. T." last="Tate">J. T. Tate</name>
</author>
</titleStmt>
<publicationStmt><idno type="wicri:source">ISTEX</idno>
<idno type="RBID">ISTEX:E74A3721BBEF82CF44A602CED7B57CEB0E77FB81</idno>
<date when="1967" year="1967">1967</date>
<idno type="doi">10.1007/978-3-642-87942-5_12</idno>
<idno type="url">https://api.istex.fr/document/E74A3721BBEF82CF44A602CED7B57CEB0E77FB81/fulltext/pdf</idno>
<idno type="wicri:Area/Istex/Corpus">002F58</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">002F58</idno>
<idno type="wicri:Area/Istex/Curation">002F58</idno>
<idno type="wicri:Area/Istex/Checkpoint">003151</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Checkpoint">003151</idno>
<idno type="wicri:Area/Main/Merge">003427</idno>
</publicationStmt>
<sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">p -Divisible Groups</title>
<author><name sortKey="Tate, J T" sort="Tate, J T" uniqKey="Tate J" first="J. T." last="Tate">J. T. Tate</name>
</author>
</analytic>
<monogr></monogr>
</biblStruct>
</sourceDesc>
</fileDesc>
<profileDesc><textClass></textClass>
<langUsage><language ident="en">en</language>
</langUsage>
</profileDesc>
</teiHeader>
<front><div type="abstract" xml:lang="en">Abstract: After a brief review of facts about finite locally free commutative group schemes in § 1, we define p-divisible groups in § 2, and discuss their relation to formal Lie groups. The § 3 contains some theorems about the action of Gal (K̄/K) on the completion C of the algebraic closure of a local field K of characteristic 0. In § 4 these theorems are applied to obtain information about the Galois module of points of finite order on a p-divisible group G defined over the ring of integers R in such a field K, and to prove that G is determined by that Galois module, or, what is the same, by its generic fiber G ×R K.</div>
</front>
</TEI>
</record>
Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/Mathematiques/explor/BourbakiV1/Data/Main/Merge
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 003427 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Main/Merge/biblio.hfd -nk 003427 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien |wiki= Wicri/Mathematiques |area= BourbakiV1 |flux= Main |étape= Merge |type= RBID |clé= ISTEX:E74A3721BBEF82CF44A602CED7B57CEB0E77FB81 |texte= p -Divisible Groups }}
![]() | This area was generated with Dilib version V0.6.33. | ![]() |