Local Symbols and Existence Theorem
Identifieur interne : 002C24 ( Main/Merge ); précédent : 002C23; suivant : 002C25Local Symbols and Existence Theorem
Auteurs : Jean-Pierre Serre [France]Source :
- Graduate Texts in Mathematics [ 0072-5285 ] ; 1979.
Abstract
Abstract: Let K be a field, Ks a separable closure of K, and let G = G(Ks/K). If χ is a character of G— i.e., an element of H1(G,Q/Z) then δχ is an element of H2(G, Z). If b ∈ K*, the cup product b. δχ is an element of the Brauer group H2(G, Ks*) = Bk. We denote this element by the symbol (χ,b).
Url:
DOI: 10.1007/978-1-4757-5673-9_15
Links toward previous steps (curation, corpus...)
- to stream Istex, to step Corpus: 002D36
- to stream Istex, to step Curation: 002D36
- to stream Istex, to step Checkpoint: 002954
Links to Exploration step
ISTEX:DC6944D903A2BC9B805E1DF433A67CD1D544C3A8Le document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">Local Symbols and Existence Theorem</title><author><name sortKey="Serre, Jean Pierre" sort="Serre, Jean Pierre" uniqKey="Serre J" first="Jean-Pierre" last="Serre">Jean-Pierre Serre</name></author></titleStmt><publicationStmt><idno type="wicri:source">ISTEX</idno><idno type="RBID">ISTEX:DC6944D903A2BC9B805E1DF433A67CD1D544C3A8</idno><date when="1979" year="1979">1979</date><idno type="doi">10.1007/978-1-4757-5673-9_15</idno><idno type="url">https://api.istex.fr/document/DC6944D903A2BC9B805E1DF433A67CD1D544C3A8/fulltext/pdf</idno><idno type="wicri:Area/Istex/Corpus">002D36</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">002D36</idno><idno type="wicri:Area/Istex/Curation">002D36</idno><idno type="wicri:Area/Istex/Checkpoint">002954</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Checkpoint">002954</idno><idno type="wicri:doubleKey">0072-5285:1979:Serre J:local:symbols:and</idno><idno type="wicri:Area/Main/Merge">002C24</idno></publicationStmt><sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">Local Symbols and Existence Theorem</title><author><name sortKey="Serre, Jean Pierre" sort="Serre, Jean Pierre" uniqKey="Serre J" first="Jean-Pierre" last="Serre">Jean-Pierre Serre</name><affiliation wicri:level="3"><country xml:lang="fr">France</country><wicri:regionArea>Collège de France, 3 rue d’Ulm, 75005, Paris</wicri:regionArea><placeName><region type="region" nuts="2">Île-de-France</region><settlement type="city">Paris</settlement></placeName></affiliation></author></analytic><monogr></monogr><series><title level="s">Graduate Texts in Mathematics</title><imprint><date>1979</date></imprint><idno type="ISSN">0072-5285</idno><idno type="ISSN">0072-5285</idno></series></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0072-5285</idno></seriesStmt></fileDesc><profileDesc><textClass></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Abstract: Let K be a field, Ks a separable closure of K, and let G = G(Ks/K). If χ is a character of G— i.e., an element of H1(G,Q/Z) then δχ is an element of H2(G, Z). If b ∈ K*, the cup product b. δχ is an element of the Brauer group H2(G, Ks*) = Bk. We denote this element by the symbol (χ,b).</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 002C24 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Main/Merge/biblio.hfd -nk 002C24 | 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:DC6944D903A2BC9B805E1DF433A67CD1D544C3A8
|texte= Local Symbols and Existence Theorem
}}
| This area was generated with Dilib version V0.6.33. |  |