Lifting Galois representations and a conjecture of Fontaine and Mazur (Q5950390)
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scientific article; zbMATH DE number 1680954
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lifting Galois representations and a conjecture of Fontaine and Mazur |
scientific article; zbMATH DE number 1680954 |
Statements
Lifting Galois representations and a conjecture of Fontaine and Mazur (English)
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11 December 2001
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geometric Galois representation
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Fontaine-Mazur conjecture
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motives
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A conjecture of Fontaine and Mazur states that given a number field \(F\), an irreducible \(p\)-adic representation of \(G_F= \Aut_F(\widetilde F)\) is geometric if and only if it comes from algebraic geometry.NEWLINENEWLINE The author confirms in this paper the conjecture for a class of geometric representations of \(G_F\) constructed using the Mumford-Tate groups of 4-dimensional Abelian varieties with trivial endomorphism ring.
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