2 7 Ja n 20 06 HILBERT 90 FOR GALOIS COHOMOLOGY

نویسندگان

  • NICOLE LEMIRE
  • JÁN MINÁČ
  • ANDREW SCHULTZ
  • JOHN SWALLOW
چکیده

Assuming the Bloch-Kato Conjecture, we determine precise conditions under which Hilbert 90 is valid for Milnor k-theory and Galois cohomology. In particular, Hilbert 90 holds for degree n when the cohomological dimension of the Galois group of the maximal p-extension of F is at most n.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

1 7 Ju n 20 04 Some additive galois cohomology rings

Let p ≥ 3 be a prime. We consider the cyclotomic extension Z (p) [ζ p 2 ] | Z (p) , with galois group G = (Z/p 2) *. Since this extension is wildly ramified, the Z (p) G-module Z (p) [ζ p 2 ] is not projective. We calculate its cohomology ring H * (G, Z (p) [ζ p 2 ]; Z (p)), carrying the cup product induced by the ring structure of Z (p) [ζ p 2 ]. Proceeding in a somewhat greater generality, ou...

متن کامل

GALOIS REPRESENTATIONS MODULO p AND COHOMOLOGY OF HILBERT MODULAR VARIETIES

The aim of this paper is to extend some arithmetic results on elliptic modular forms to the case of Hilbert modular forms. Among these results let’s mention : − the control of the image of the Galois representation modulo p [37][35], − Hida’s congruence criterion outside an explicit set of primes p [21], − the freeness of the integral cohomology of the Hilbert modular variety over certain local...

متن کامل

On Symmetric Power L-invariants of Iwahori Level Hilbert Modular Forms

We compute the arithmetic L-invariants (of Greenberg–Benois) of twists of symmetric powers of p-adic Galois representations attached to Iwahori level Hilbert modular forms (under some technical conditions). Our method uses the automorphy of symmetric powers and the study of analytic Galois representations on p-adic families of automorphic forms over symplectic and unitary groups. Combining thes...

متن کامل

Ja n 20 06 QUASI - ACTIONS ON TREES AND PROPERTY ( QFA )

We prove some general results about quasi-actions on trees and define Property (QFA), which is analogous to Serre's Property (FA), but in the coarse setting. This property is shown to hold for a class of groups, including SL(n, Z) for n ≥ 3. We also give a way of thinking about Property (QFA) by breaking it down into statements about particular classes of trees. Contents 1. Introduction 1 1.1. ...

متن کامل

Etale Cohomology - Part 2

1. Grothendieck Topologies 1 2. The Category of Sheaves on a Site 3 3. Operations on presheaves and sheaves 6 4. Stalks of étale sheaves; the mapping cylinder 7 4.1. Stalks 7 4.2. The mapping cylinder 10 5. Cohomology 12 6. Flabby sheaves and Čech cohomology 13 7. Excision and cohomology with supports 17 8. Comparison theorems 19 8.1. Comparison of étale and Zariski cohomologies 20 8.2. Compari...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2006