On $p$-class groups and the Fontaine-Mazur conjecture
نویسندگان
چکیده
منابع مشابه
Some Cases of the Fontaine - Mazur Conjecture
We prove more special cases of the Fontaine-Mazur conjecture regarding p-adic Galois representations unramified at p, and we present evidence for and consequences of a generalization of it.
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Introduction 641 1. Breuil-Mézard conjecture and the p-adic local Langlands 644 (1.1) The Breuil-Mézard conjecture 644 (1.2) Review of Colmez’s functor 647 (1.3) Hilbert-Samuel multiplicities 650 (1.4) Representations and pseudo-representations 653 (1.5) GL2(Qp)-representations mod p. 657 (1.6) Local patching and multiplicities 661 (1.7) From pseudo-representations to representations 669 2. Mod...
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We estimate the proportion of function fields satisfying certain conditions which imply a function-field analogue of the Fontaine-Mazur conjecture. As a byproduct, we compute the fraction of abelian varieties (or even Jacobians) over a finite field which have rational point of order l. The paper [5] discusses the following conjecture, due to Fontaine and Mazur: Conjecture 0.1 [Fontaine-Mazur] L...
متن کاملNotes on an analogue of the Fontaine - Mazur conjecture par
We estimate the proportion of function fields satisfying certain conditions which imply a function field analogue of the Fontaine-Mazur conjecture. As a byproduct, we compute the fraction of abelian varieties (or even Jacobians) over a finite field which have a rational point of order l.
متن کاملEven Galois representations and the Fontaine–Mazur conjecture
We prove, under mild hypotheses, that there are no irreducible twodimensional ordinary even Galois representations of Gal(Q/Q) with distinct Hodge–Tate weights. This is in accordance with the Fontaine–Mazur conjecture. If K/Q is an imaginary quadratic field, we also prove (again, under certain hypotheses) that Gal(Q/K) does not admit irreducible two-dimensional ordinary Galois representations o...
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ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 2014
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.2014.v21.n3.a5