Pro-ℓ abelian-by-central Galois theory of prime divisors
Identifieur interne : 000388 ( Main/Exploration ); précédent : 000387; suivant : 000389Pro-ℓ abelian-by-central Galois theory of prime divisors
Auteurs : Florian Pop [États-Unis]Source :
- Israel Journal of Mathematics [ 0021-2172 ] ; 2010-12-01.
Abstract
Abstract: In the present paper it is shown that one can recover much of the inertia structure of (quasi) divisors of a function field K|k over an algebraically closed base field k from the maximal pro-ℓ abelian-by-central Galois theory of K. The results play a central role in the birational anabelian geometry and related questions.
Url:
DOI: 10.1007/s11856-010-0093-y
Affiliations:
Links toward previous steps (curation, corpus...)
- to stream Istex, to step Corpus: 001544
- to stream Istex, to step Curation: 001544
- to stream Istex, to step Checkpoint: 000344
- to stream Main, to step Merge: 000388
- to stream Main, to step Curation: 000388
Le document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">Pro-ℓ abelian-by-central Galois theory of prime divisors</title>
<author><name sortKey="Pop, Florian" sort="Pop, Florian" uniqKey="Pop F" first="Florian" last="Pop">Florian Pop</name>
</author>
</titleStmt>
<publicationStmt><idno type="wicri:source">ISTEX</idno>
<idno type="RBID">ISTEX:684598581329A60D9ADCD45ED01D1D88FEEBB9D1</idno>
<date when="2010" year="2010">2010</date>
<idno type="doi">10.1007/s11856-010-0093-y</idno>
<idno type="url">https://api.istex.fr/document/684598581329A60D9ADCD45ED01D1D88FEEBB9D1/fulltext/pdf</idno>
<idno type="wicri:Area/Istex/Corpus">001544</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">001544</idno>
<idno type="wicri:Area/Istex/Curation">001544</idno>
<idno type="wicri:Area/Istex/Checkpoint">000344</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Checkpoint">000344</idno>
<idno type="wicri:doubleKey">0021-2172:2010:Pop F:pro:abelian:by</idno>
<idno type="wicri:Area/Main/Merge">000388</idno>
<idno type="wicri:Area/Main/Curation">000388</idno>
<idno type="wicri:Area/Main/Exploration">000388</idno>
</publicationStmt>
<sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">Pro-ℓ abelian-by-central Galois theory of prime divisors</title>
<author><name sortKey="Pop, Florian" sort="Pop, Florian" uniqKey="Pop F" first="Florian" last="Pop">Florian Pop</name>
<affiliation wicri:level="2"><country xml:lang="fr">États-Unis</country>
<wicri:regionArea>Department of Mathematics, University of Pennsylvania DRL, 209 S 33rd Street, 19104, Philadelphia, PA</wicri:regionArea>
<placeName><region type="state">Pennsylvanie</region>
</placeName>
</affiliation>
<affiliation wicri:level="1"><country wicri:rule="url">États-Unis</country>
</affiliation>
</author>
</analytic>
<monogr></monogr>
<series><title level="j">Israel Journal of Mathematics</title>
<title level="j" type="abbrev">Isr. J. Math.</title>
<idno type="ISSN">0021-2172</idno>
<idno type="eISSN">1565-8511</idno>
<imprint><publisher>The Hebrew University Magnes Press</publisher>
<pubPlace>Heidelberg</pubPlace>
<date type="published" when="2010-12-01">2010-12-01</date>
<biblScope unit="volume">180</biblScope>
<biblScope unit="issue">1</biblScope>
<biblScope unit="page" from="43">43</biblScope>
<biblScope unit="page" to="68">68</biblScope>
</imprint>
<idno type="ISSN">0021-2172</idno>
</series>
</biblStruct>
</sourceDesc>
<seriesStmt><idno type="ISSN">0021-2172</idno>
</seriesStmt>
</fileDesc>
<profileDesc><textClass></textClass>
<langUsage><language ident="en">en</language>
</langUsage>
</profileDesc>
</teiHeader>
<front><div type="abstract" xml:lang="en">Abstract: In the present paper it is shown that one can recover much of the inertia structure of (quasi) divisors of a function field K|k over an algebraically closed base field k from the maximal pro-ℓ abelian-by-central Galois theory of K. The results play a central role in the birational anabelian geometry and related questions.</div>
</front>
</TEI>
<affiliations><list><country><li>États-Unis</li>
</country>
<region><li>Pennsylvanie</li>
</region>
</list>
<tree><country name="États-Unis"><region name="Pennsylvanie"><name sortKey="Pop, Florian" sort="Pop, Florian" uniqKey="Pop F" first="Florian" last="Pop">Florian Pop</name>
</region>
<name sortKey="Pop, Florian" sort="Pop, Florian" uniqKey="Pop F" first="Florian" last="Pop">Florian Pop</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 000388 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 000388 | 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:684598581329A60D9ADCD45ED01D1D88FEEBB9D1 |texte= Pro-ℓ abelian-by-central Galois theory of prime divisors }}
This area was generated with Dilib version V0.6.33. |