BourbakiV1, Main, Exploration, bibRecord, 002499

Period relations and the Tate conjecture for Hilbert modular surfaces

Identifieur interne : 002499 ( Main/Exploration ); précédent : 002498; suivant : 002500

Period relations and the Tate conjecture for Hilbert modular surfaces

Auteurs : V. Kumar Murty [Canada] ; Dinakar Ramakrishnan [États-Unis]

Source :

Inventiones mathematicae [ 0020-9910 ] ; 1987-06-01.

RBID : ISTEX:FF63B01FE83AAF3DCC7E7C8D620FEAA5AFD7875A

English descriptors

KwdEn :
- Abelian, Abelian varieties, Algebra, Algebraic, Algebraic correspondence, Algebraic cycles, Arbitrary number field, Automorphic, Biquadratic, Class number, Cohomology, Compactification, Complex multiplication, Conjecture, Cusp, Cusp compactification, Cusp forms, Cuspidal, Cuspidal automorphic, Cuspidal automorphic representation, Cuspidal representation, Deligne, Divisor, Fundamental periods, Galois, Gauss, Hecke, Hecke algebra, Hilbert, Hodge, Hodge cycles, Hodge piece, Hodge type, Intersection piece, Isomorphism, Langlands, Main results, Math, Matrix, Modular forms, Murty, Notes math, Number field, Other hand, Period relations, Pure math, Quadratic, Quadratic character, Quaternion algebras, Ramakrishnan, Rational structure, Resp, Sect, Shimura, Subgroup, Tate, Tate classes, Tate conjecture, Tate conjecturefor hilbert, Tate cycles, Whittaker function.
Teeft :
- Abelian, Abelian varieties, Algebra, Algebraic, Algebraic correspondence, Algebraic cycles, Arbitrary number field, Automorphic, Biquadratic, Class number, Cohomology, Compactification, Complex multiplication, Conjecture, Cusp, Cusp compactification, Cusp forms, Cuspidal, Cuspidal automorphic, Cuspidal automorphic representation, Cuspidal representation, Deligne, Divisor, Fundamental periods, Galois, Gauss, Hecke, Hecke algebra, Hilbert, Hodge, Hodge cycles, Hodge piece, Hodge type, Intersection piece, Isomorphism, Langlands, Main results, Math, Matrix, Modular forms, Murty, Notes math, Number field, Other hand, Period relations, Pure math, Quadratic, Quadratic character, Quaternion algebras, Ramakrishnan, Rational structure, Resp, Sect, Shimura, Subgroup, Tate, Tate classes, Tate conjecture, Tate conjecturefor hilbert, Tate cycles, Whittaker function.

Url:

https://api.istex.fr/document/FF63B01FE83AAF3DCC7E7C8D620FEAA5AFD7875A/fulltext/pdf

DOI: 10.1007/BF01389081

Affiliations:

Links toward previous steps (curation, corpus...)

to stream Istex, to step Corpus: 003461
to stream Istex, to step Curation: 003461
to stream Istex, to step Checkpoint: 002261
to stream Main, to step Merge: 002524
to stream Main, to step Curation: 002499

Le document en format XML

<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">Period relations and the Tate conjecture for Hilbert modular surfaces</title>
<author><name sortKey="Murty, V Kumar" sort="Murty, V Kumar" uniqKey="Murty V" first="V. Kumar" last="Murty">V. Kumar Murty</name>
</author>
<author><name sortKey="Ramakrishnan, Dinakar" sort="Ramakrishnan, Dinakar" uniqKey="Ramakrishnan D" first="Dinakar" last="Ramakrishnan">Dinakar Ramakrishnan</name>
</author>
</titleStmt>
<publicationStmt><idno type="wicri:source">ISTEX</idno>
<idno type="RBID">ISTEX:FF63B01FE83AAF3DCC7E7C8D620FEAA5AFD7875A</idno>
<date when="1987" year="1987">1987</date>
<idno type="doi">10.1007/BF01389081</idno>
<idno type="url">https://api.istex.fr/document/FF63B01FE83AAF3DCC7E7C8D620FEAA5AFD7875A/fulltext/pdf</idno>
<idno type="wicri:Area/Istex/Corpus">003461</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">003461</idno>
<idno type="wicri:Area/Istex/Curation">003461</idno>
<idno type="wicri:Area/Istex/Checkpoint">002261</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Checkpoint">002261</idno>
<idno type="wicri:doubleKey">0020-9910:1987:Murty V:period:relations:and</idno>
<idno type="wicri:Area/Main/Merge">002524</idno>
<idno type="wicri:Area/Main/Curation">002499</idno>
<idno type="wicri:Area/Main/Exploration">002499</idno>
</publicationStmt>
<sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">Period relations and the Tate conjecture for Hilbert modular surfaces</title>
<author><name sortKey="Murty, V Kumar" sort="Murty, V Kumar" uniqKey="Murty V" first="V. Kumar" last="Murty">V. Kumar Murty</name>
<affiliation wicri:level="1"><country xml:lang="fr">Canada</country>
<wicri:regionArea>Department of Mathematics, Concordia University, Loyola Campus, H4B 1R6, Montreal, Quebec</wicri:regionArea>
<wicri:noRegion>Quebec</wicri:noRegion>
</affiliation>
</author>
<author><name sortKey="Ramakrishnan, Dinakar" sort="Ramakrishnan, Dinakar" uniqKey="Ramakrishnan D" first="Dinakar" last="Ramakrishnan">Dinakar Ramakrishnan</name>
<affiliation wicri:level="2"><country xml:lang="fr">États-Unis</country>
<wicri:regionArea>School of Mathematics, The Institute for Advanced Study, 08540, Princeton, NJ</wicri:regionArea>
<placeName><region type="state">New Jersey</region>
</placeName>
</affiliation>
<affiliation wicri:level="4"><country xml:lang="fr">États-Unis</country>
<wicri:regionArea>Department of Mathematics, Cornell University, 14853, Ithaca, NY</wicri:regionArea>
<placeName><region type="state">État de New York</region>
<settlement type="city">Ithaca (New York)</settlement>
</placeName>
<orgName type="university">Université Cornell</orgName>
</affiliation>
</author>
</analytic>
<monogr></monogr>
<series><title level="j">Inventiones mathematicae</title>
<title level="j" type="abbrev">Invent Math</title>
<idno type="ISSN">0020-9910</idno>
<idno type="eISSN">1432-1297</idno>
<imprint><publisher>Springer-Verlag</publisher>
<pubPlace>Berlin/Heidelberg</pubPlace>
<date type="published" when="1987-06-01">1987-06-01</date>
<biblScope unit="volume">89</biblScope>
<biblScope unit="issue">2</biblScope>
<biblScope unit="page" from="319">319</biblScope>
<biblScope unit="page" to="345">345</biblScope>
</imprint>
<idno type="ISSN">0020-9910</idno>
</series>
</biblStruct>
</sourceDesc>
<seriesStmt><idno type="ISSN">0020-9910</idno>
</seriesStmt>
</fileDesc>
<profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Abelian</term>
<term>Abelian varieties</term>
<term>Algebra</term>
<term>Algebraic</term>
<term>Algebraic correspondence</term>
<term>Algebraic cycles</term>
<term>Arbitrary number field</term>
<term>Automorphic</term>
<term>Biquadratic</term>
<term>Class number</term>
<term>Cohomology</term>
<term>Compactification</term>
<term>Complex multiplication</term>
<term>Conjecture</term>
<term>Cusp</term>
<term>Cusp compactification</term>
<term>Cusp forms</term>
<term>Cuspidal</term>
<term>Cuspidal automorphic</term>
<term>Cuspidal automorphic representation</term>
<term>Cuspidal representation</term>
<term>Deligne</term>
<term>Divisor</term>
<term>Fundamental periods</term>
<term>Galois</term>
<term>Gauss</term>
<term>Hecke</term>
<term>Hecke algebra</term>
<term>Hilbert</term>
<term>Hodge</term>
<term>Hodge cycles</term>
<term>Hodge piece</term>
<term>Hodge type</term>
<term>Intersection piece</term>
<term>Isomorphism</term>
<term>Langlands</term>
<term>Main results</term>
<term>Math</term>
<term>Matrix</term>
<term>Modular forms</term>
<term>Murty</term>
<term>Notes math</term>
<term>Number field</term>
<term>Other hand</term>
<term>Period relations</term>
<term>Pure math</term>
<term>Quadratic</term>
<term>Quadratic character</term>
<term>Quaternion algebras</term>
<term>Ramakrishnan</term>
<term>Rational structure</term>
<term>Resp</term>
<term>Sect</term>
<term>Shimura</term>
<term>Subgroup</term>
<term>Tate</term>
<term>Tate classes</term>
<term>Tate conjecture</term>
<term>Tate conjecturefor hilbert</term>
<term>Tate cycles</term>
<term>Whittaker function</term>
</keywords>
<keywords scheme="Teeft" xml:lang="en"><term>Abelian</term>
<term>Abelian varieties</term>
<term>Algebra</term>
<term>Algebraic</term>
<term>Algebraic correspondence</term>
<term>Algebraic cycles</term>
<term>Arbitrary number field</term>
<term>Automorphic</term>
<term>Biquadratic</term>
<term>Class number</term>
<term>Cohomology</term>
<term>Compactification</term>
<term>Complex multiplication</term>
<term>Conjecture</term>
<term>Cusp</term>
<term>Cusp compactification</term>
<term>Cusp forms</term>
<term>Cuspidal</term>
<term>Cuspidal automorphic</term>
<term>Cuspidal automorphic representation</term>
<term>Cuspidal representation</term>
<term>Deligne</term>
<term>Divisor</term>
<term>Fundamental periods</term>
<term>Galois</term>
<term>Gauss</term>
<term>Hecke</term>
<term>Hecke algebra</term>
<term>Hilbert</term>
<term>Hodge</term>
<term>Hodge cycles</term>
<term>Hodge piece</term>
<term>Hodge type</term>
<term>Intersection piece</term>
<term>Isomorphism</term>
<term>Langlands</term>
<term>Main results</term>
<term>Math</term>
<term>Matrix</term>
<term>Modular forms</term>
<term>Murty</term>
<term>Notes math</term>
<term>Number field</term>
<term>Other hand</term>
<term>Period relations</term>
<term>Pure math</term>
<term>Quadratic</term>
<term>Quadratic character</term>
<term>Quaternion algebras</term>
<term>Ramakrishnan</term>
<term>Rational structure</term>
<term>Resp</term>
<term>Sect</term>
<term>Shimura</term>
<term>Subgroup</term>
<term>Tate</term>
<term>Tate classes</term>
<term>Tate conjecture</term>
<term>Tate conjecturefor hilbert</term>
<term>Tate cycles</term>
<term>Whittaker function</term>
</keywords>
</textClass>
<langUsage><language ident="en">en</language>
</langUsage>
</profileDesc>
</teiHeader>
</TEI>
<affiliations><list><country><li>Canada</li>
<li>États-Unis</li>
</country>
<region><li>New Jersey</li>
<li>État de New York</li>
</region>
<settlement><li>Ithaca (New York)</li>
</settlement>
<orgName><li>Université Cornell</li>
</orgName>
</list>
<tree><country name="Canada"><noRegion><name sortKey="Murty, V Kumar" sort="Murty, V Kumar" uniqKey="Murty V" first="V. Kumar" last="Murty">V. Kumar Murty</name>
</noRegion>
</country>
<country name="États-Unis"><region name="New Jersey"><name sortKey="Ramakrishnan, Dinakar" sort="Ramakrishnan, Dinakar" uniqKey="Ramakrishnan D" first="Dinakar" last="Ramakrishnan">Dinakar Ramakrishnan</name>
</region>
<name sortKey="Ramakrishnan, Dinakar" sort="Ramakrishnan, Dinakar" uniqKey="Ramakrishnan D" first="Dinakar" last="Ramakrishnan">Dinakar Ramakrishnan</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 002499 | SxmlIndent | more

HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 002499 | 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:FF63B01FE83AAF3DCC7E7C8D620FEAA5AFD7875A
   |texte=   Period relations and the Tate conjecture for Hilbert modular surfaces
}}

This area was generated with Dilib version V0.6.33.
Data generation: Thu Jul 5 10:00:31 2018. Site generation: Sat Nov 19 17:42:07 2022

	Serveur d'exploration Bourbaki
	Attention, ce site est en cours de développement ! Attention, site généré par des moyens informatiques à partir de corpus bruts. Les informations ne sont donc pas validées.

Serveur d'exploration Bourbaki

Period relations and the Tate conjecture for Hilbert modular surfaces

Period relations and the Tate conjecture for Hilbert modular surfaces

Source :

English descriptors

Links toward previous steps (curation, corpus...)

Le document en format XML

Pour manipuler ce document sous Unix (Dilib)

Pour mettre un lien sur cette page dans le réseau Wicri