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We construct an Euler system in the multiplicative groups of CM-fields, which is a generalization of the Euler system of Gauss sums, and generalize a structure theorem of Kolyvagin
Coray and Manoil ask if this counterexample can be accounted for by the Brauer–Manin obstruction; we answer their question positively.. It follows from a well-known theorem of
When k is finite, generalizing the theory of Deligne [1], we construct in [2] and [3] a theory of local ε 0-constants for repre- sentations, over a complete local ring with
We study the local or global behavior of rational specializations of some finite Galois covers of P 1..
Combining Theorem 7, the tensorization property of Beckner type-inequalities, Corollary 8 and Theorem 12 allows to derive dimension-free isoperimetric inequalities for the products
In section 4 we use this coupling to show the uniqueness of the stationary interface, and then finish the proof of theorem 12. Stochastic compactness for the width of
We are now in position to state our main result in this article (Theorem 1.2.1). It extends our previous result [NY09a, Theorem 1.2.1] to wider class of models so that it covers
A Central Limit Theorem for non-commutative random variables is proved using the Lindeberg method.. The theorem is a generalization of the Central Limit Theorem for free random
