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Showing 1 to 6 of 6 for “"Galois cohomology"”.
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Massey products in the Galois cohomology of number fields
We study the relation structure of the Galois group of the maximal outside a finite set of primes unramified p-extension of Q and of the Galois group of the p-class field tower of a quadratic number field. This relation structure is described in terms of Massey products in the Galois cohomology of …
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The Birch and Swinnerton-Dyer Conjecture for elliptic curves
… way of an example. Thereafter, with the use of Galois Cohomology, we provide a general definition of this mysterious group. We also discuss invariants like the regulator and real period, which appear in the Birch and Swinnerton-Dyer Conjecture. After defining the L-function, we state the Birch …
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On the slope filtration of [phi]-modules over the Robba ring
Given a p-adic representation of the Galois group of a local field, we show that its Galois cohomology can be computed using the associated étale ([phi], [Gamma])-module over the Robba ring; this is a variant of a result of Herr. We then establish analogues, for not necessarily étale (([phi], …
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Component Groups of Stabilizers in Algebraic Groups: Computational Methods and Applications
… In the latter case, we use the framework of Galois cohomology to derive the real orbits of the action of the θ-groups on certain vector spaces. For this purpose, the computation of the explicit generators of the component groups of stabilizers of nilpotent and semisimple elements is …
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Invariants linked to models of curves over discrete valuation rings
… and Liu used this description, along with some Galois cohomology computations to provide similar descriptions of Tamagawa numbers. We use various versions of the matrix tree theorem to make Raynaud's and Bosch and Liu's descriptions more explicit in terms of the combinatorics of the dual graph …
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On Selmer groups and factoring p-adic L-functions
Samit Dasgupta has proved a formula factoring a certain restriction of a 3-variable Rankin-Selberg p-adic L-function as a product of a 2-variable p-adic L-function related to the adjoint representation of a Hida family and a Kubota-Leopoldt p-adic L-function. We prove a result involving Selmer …