On The Structure of Certain Galois Cohomology Groups To John Coates on the occasion of his 60th birthday
نویسنده
چکیده
This paper primarily concerns Galois cohomology groups associated to Galois representations over a complete local ring R. The underlying Galois module and the corresponding cohomology groups which we consider are discrete R-modules. Under certain hypotheses, we prove that the first cohomology group is an almost divisible Rmodule. We also consider the subgroup of locally trivial elements in the second cohomology group, proving under certain hypotheses that it is a coreflexive R-module. 2000 Mathematics Subject Classification: 11R23, 11R34
منابع مشابه
Universal Norms of p-Units in Some Non-Commutative Galois Extensions dedicated to Professor John Coates on the occasion of his 60th birthday
where L ranges over all finite extensions of F contained in F∞ and where the inverse limit is taken with respect to the norm maps. In the case F∞ is the cyclotomic Zp-extension of F , the understanding of U(F∞/F ) is related to profound aspects in Iwasawa theory studied by Coates and other people, as we will shortly recall in §3. Concerning bigger Galois extensions F∞/F , the following result i...
متن کاملCohomology of Harmonic Forms on Riemannian Manifolds With Boundary
To Julius Shaneson on the occasion of his 60th birthday
متن کاملComputation, Cooperation, and Life - Essays Dedicated to Gheorghe Paun on the Occasion of His 60th Birthday
It's coming again, the new collection that this site has. To complete your curiosity, we offer the favorite computation cooperation and life essays dedicated to gheorghe paun on the occasion of his 60th birthday lecture notes in computer science book as the choice today. This is a book that will show you even new to old thing. Forget it; it will be right for you. Well, when you are really dying...
متن کاملMONADIC APPROACH TO GALOIS DESCENT AND COHOMOLOGY Dedicated to Dominique Bourn at the occasion of his sixtieth birthday
We describe a simplified categorical approach to Galois descent theory. It is well known that Galois descent is a special case of Grothendieck descent, and that under mild additional conditions the category of Grothendieck descent data coincides with the Eilenberg-Moore category of algebras over a suitable monad. This also suggests using monads directly, and our monadic approach to Galois desce...
متن کاملDigital cohomology groups of certain minimal surfaces
In this study, we compute simplicial cohomology groups with different coefficients of a connected sum of certain minimal simple surfaces by using the universal coefficient theorem for cohomology groups. The method used in this paper is a different way to compute digital cohomology groups of minimal simple surfaces. We also prove some theorems related to degree properties of a map on digital sph...
متن کامل