Transcendental $\ell$-adic Galois representations
نویسندگان
چکیده
منابع مشابه
TORSION p-ADIC GALOIS REPRESENTATIONS
Let p be a prime, K a finite extension of Qp and T a finite free Zp-representation of Gal(K̄/K). We prove that T ⊗Zp Qp is semi-stable (resp., crystalline) with Hodge-Tate weights in {0, . . . , r} if and only if for all n, T/pnT is torsion semi-stable (resp., crystalline) with Hodge-Tate weights in {0, . . . , r}. Résumé. (Représentations galoisiennnes p-adiques de torsion) Soient p un nombre p...
متن کاملGALOIS MODULES AND p-ADIC REPRESENTATIONS
In this paper we develop a theory of class invariants associated to p-adic representations of absolute Galois groups of number fields. Our main tool for doing this involves a new way of describing certain Selmer groups attached to p-adic representations in terms of resolvends associated to torsors of finite group schemes.
متن کاملA Connectedness Criterion for `-adic Galois Representations
To every compatible system of Galois representations of a global field K, there is associated a natural invariant K conn , the smallest extension of K over which the associated algebraic monodromy groups become connected. We present a purely field-theoretic construction of K conn for all Galois representations arising from cohomology.
متن کاملTranscendental Galois Theory
DISCLAIMER: This is just a draft. I am not sure of the final purpose of this document, so at the moment I have included lots of known results, in particular proofs of the usual Fundamental Theorem of Galois theory (in the finite and then the algebraic case). Seeing such proofs helps (me) to understand the analogies between the Fundamental Theorem presented here and the usual cases. Also, CAVEAT...
متن کاملp-adic Galois Representations Math 162b Winter 2012 Lecture Notes
1 Local Class Field Theory 2 1.1 Local fields . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2 Newton polygons . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.3 Ramification of local fields . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.4 Main results of local class field ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 2005
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.2005.v12.n5.a6