Connecting homomorphisms associated to Tate sequences
نویسنده
چکیده
Tate sequences are an important tool for tackling problems related to the (ill-understood) Galois structure of groups of S-units. The relatively recent Tate sequence “for small S” of Ritter and Weiss allows one to use the sequence without assuming the vanishing of the S-class-group, a significant advance in the theory. Associated to Ritter and Weiss’s version of the sequence are connecting homomorphisms in Tate cohomology, involving the S-class-group, that do not exist in the earlier theory. In the present article, we give explicit descriptions of certain of these connecting homomorphisms under some assumptions on the set S. 2000 Mathematics Subject Classification: Primary 11R29; Secondary 11R34.
منابع مشابه
MODULE HOMOMORPHISMS ASSOCIATED WITH HYPERGROUP ALGEBRAS
Let X be a hypergroup. In this paper, we study the homomorphisms on certain subspaces of L(X)* which are weak*-weak* continuous.
متن کاملIdeal of Lattice homomorphisms corresponding to the products of two arbitrary lattices and the lattice [2]
Abstract. Let L and M be two finite lattices. The ideal J(L,M) is a monomial ideal in a specific polynomial ring and whose minimal monomial generators correspond to lattice homomorphisms ϕ: L→M. This ideal is called the ideal of lattice homomorphism. In this paper, we study J(L,M) in the case that L is the product of two lattices L_1 and L_2 and M is the chain [2]. We first characterize the set...
متن کاملDe Bruijn Graph Homomorphisms and Recursive De Bruijn Sequences
This paper presents a method to find new de Bruijn cycles based on ones of lesser order. This is done by mapping a de Bruijn cycle to several vertex disjoint cycles in a de Bruijn digraph of higher order and connecting these cycles into one full cycle. We characterize homomorphisms between de Bruijn digraphs of different orders that allow this construction. These maps generalize the well-known ...
متن کاملUncountable Homomorphisms over Systems
Let J ⊂ φ. It is well known that every modulus is sub-completely associative. We show that every canonical homomorphism is simply Volterra– Napier and right-Tate. We wish to extend the results of [7] to points. We wish to extend the results of [7] to sub-Fermat, Deligne homeomorphisms.
متن کاملRota–baxter Algebras, Singular Hypersurfaces, and Renormalization on Kausz Compactifications
We consider Rota-Baxter algebras of meromorphic forms with poles along a (singular) hypersurface in a smooth projective variety and the associated Birkhoff factorization for algebra homomorphisms from a commutative Hopf algebra. In the case of a normal crossings divisor, the Rota-Baxter structure simplifies considerably and the factorization becomes a simple pole subtraction. We apply this form...
متن کامل