On periods of the third kind for rank 2 Drinfeld module
Identifieur interne : 000156 ( Main/Exploration ); précédent : 000155; suivant : 000157On periods of the third kind for rank 2 Drinfeld module
Auteurs : Chieh-Yu Chang [République populaire de Chine, Taïwan]Source :
- Mathematische Zeitschrift [ 0025-5874 ] ; 2013-04-01.
English descriptors
- KwdEn :
Abstract
Abstract: In analogy with the periods of abelian integrals of differentials of the third kind for an elliptic curve defined over a number field, we introduce a notion of periods of the third kind for a rank 2 Drinfeld $${\mathbb{F}_{q}[t]}$$ -module ρ defined over an algebraic function field. In this paper we establish explicit formulae for these periods of the third kind for ρ. Combining with the main result in Chang and Papanikolas (J. Am. Math. Soc. 25:123–150, 2012), we show the algebraic independence of the periods of first, second and third kinds for ρ.
Url:
DOI: 10.1007/s00209-012-1038-4
Affiliations:
Links toward previous steps (curation, corpus...)
- to stream Istex, to step Corpus: 002C02
- to stream Istex, to step Curation: 002C02
- to stream Istex, to step Checkpoint: 000122
- to stream Main, to step Merge: 000156
- to stream Main, to step Curation: 000156
Le document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">On periods of the third kind for rank 2 Drinfeld module</title><author><name sortKey="Chang, Chieh Yu" sort="Chang, Chieh Yu" uniqKey="Chang C" first="Chieh-Yu" last="Chang">Chieh-Yu Chang</name></author></titleStmt><publicationStmt><idno type="wicri:source">ISTEX</idno><idno type="RBID">ISTEX:D621AA2084744BD6D1B2F0AA4939A3A1EE81F504</idno><date when="2012" year="2012">2012</date><idno type="doi">10.1007/s00209-012-1038-4</idno><idno type="url">https://api.istex.fr/document/D621AA2084744BD6D1B2F0AA4939A3A1EE81F504/fulltext/pdf</idno><idno type="wicri:Area/Istex/Corpus">002C02</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">002C02</idno><idno type="wicri:Area/Istex/Curation">002C02</idno><idno type="wicri:Area/Istex/Checkpoint">000122</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Checkpoint">000122</idno><idno type="wicri:doubleKey">0025-5874:2012:Chang C:on:periods:of</idno><idno type="wicri:Area/Main/Merge">000156</idno><idno type="wicri:Area/Main/Curation">000156</idno><idno type="wicri:Area/Main/Exploration">000156</idno></publicationStmt><sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">On periods of the third kind for rank 2 Drinfeld module</title><author><name sortKey="Chang, Chieh Yu" sort="Chang, Chieh Yu" uniqKey="Chang C" first="Chieh-Yu" last="Chang">Chieh-Yu Chang</name><affiliation wicri:level="1"><country xml:lang="fr" wicri:curation="lc">République populaire de Chine</country><wicri:regionArea>Department of Mathematics, National Tsing Hua University and National Center for Theoretical Sciences, 30042, Hsinchu City</wicri:regionArea><wicri:noRegion>Hsinchu City</wicri:noRegion></affiliation><affiliation wicri:level="1"><country wicri:rule="url">Taïwan</country></affiliation></author></analytic><monogr></monogr><series><title level="j">Mathematische Zeitschrift</title><title level="j" type="abbrev">Math. Z.</title><idno type="ISSN">0025-5874</idno><idno type="eISSN">1432-1823</idno><imprint><publisher>Springer-Verlag</publisher><pubPlace>Berlin/Heidelberg</pubPlace><date type="published" when="2013-04-01">2013-04-01</date><biblScope unit="volume">273</biblScope><biblScope unit="issue">3-4</biblScope><biblScope unit="page" from="921">921</biblScope><biblScope unit="page" to="933">933</biblScope></imprint><idno type="ISSN">0025-5874</idno></series></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0025-5874</idno></seriesStmt></fileDesc><profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Algebraic independence</term><term>Drinfeld modules</term><term>Periods</term></keywords></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Abstract: In analogy with the periods of abelian integrals of differentials of the third kind for an elliptic curve defined over a number field, we introduce a notion of periods of the third kind for a rank 2 Drinfeld $${\mathbb{F}_{q}[t]}$$ -module ρ defined over an algebraic function field. In this paper we establish explicit formulae for these periods of the third kind for ρ. Combining with the main result in Chang and Papanikolas (J. Am. Math. Soc. 25:123–150, 2012), we show the algebraic independence of the periods of first, second and third kinds for ρ.</div></front></TEI><affiliations><list><country><li>République populaire de Chine</li><li>Taïwan</li></country></list><tree><country name="République populaire de Chine"><noRegion><name sortKey="Chang, Chieh Yu" sort="Chang, Chieh Yu" uniqKey="Chang C" first="Chieh-Yu" last="Chang">Chieh-Yu Chang</name></noRegion></country><country name="Taïwan"><noRegion><name sortKey="Chang, Chieh Yu" sort="Chang, Chieh Yu" uniqKey="Chang C" first="Chieh-Yu" last="Chang">Chieh-Yu Chang</name></noRegion></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 000156 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 000156 | 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:D621AA2084744BD6D1B2F0AA4939A3A1EE81F504
|texte= On periods of the third kind for rank 2 Drinfeld module
}}
| This area was generated with Dilib version V0.6.33. |  |