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Tate module

In mathematics, a Tate module of an abelian group, named for John Tate, is a module constructed from an abelian group A. Often, this construction is made in the following situation: G is a commutative group scheme over a field K, Ks is the separable closure of K, and A = G(Ks) (the Ks-valued points of G). In this case, the Tate module of A is equipped…

Examples, Definition & Tate module of a number field

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Definition

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Tate module of a number field

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Tate module

Nodes43
Edges42
Triples81
Avg. degree1.95
Density0.046512
Components1

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Tate module

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related to References · 45
Tate module → American Mathematical Society, BF01388432, Bibcode, CRM Monograph Series, CRM Proceedings, David, Deligne, Elliptic, EMS Press, Encyclopaedia, Encyclopedia, Endlichkeitssätze, Endomorphisms, Faltings, Gerd, Hershey, Introduction, Inventiones Mathematicae, ISBN, ISSN
related to The Tate module of an abelian variety · 12
Tate module → Classical, Galois, Given, GK, Hasse, In, Ks-valued, Tate, The, Tp, Witt, Zp
related to Tate module of a number field · 10
Tate module → Cm, For, Kenkichi Iwasawa, Km, Let Then Tp, Tate, The, Tp, Using, Zp-module
related to The Tate module · 9
Tate module → Galois, GK, Gm, It, Ks, Tate, Thus, When, Zp
related to Definition · 5
Tate module → Given, It, Tate, Thus, Zp-module

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tate module group abelian field number case tp galois p-adic varieties finite prime characteristic absolute referred zp isbn also mathematics

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SubjectPredicateObjectConfidenceSrc
Tate modulerelated to DefinitionGiven0.60section
Tate modulerelated to DefinitionTate0.60section
Tate modulerelated to DefinitionThus0.60section
Tate modulerelated to DefinitionIt0.60section
Tate modulerelated to DefinitionZp-module0.60section
Tate modulerelated to ReferencesLock-green0.60section
Tate modulerelated to ReferencesLock-gray-alt-20.60section
Tate modulerelated to ReferencesLock-red-alt-20.60section
Tate modulerelated to ReferencesWikisource-logo0.60section
Tate modulerelated to ReferencesFaltings0.60section
Tate modulerelated to ReferencesGerd0.60section
Tate modulerelated to ReferencesEndlichkeitssätze0.60section

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