Sur la recherche des -extensions non ramifiées de
Kenneth A. Ribet (1975-1976)
Groupe d'étude d'algèbre
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Kenneth A. Ribet (1975-1976)
Groupe d'étude d'algèbre
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Mustapha Chellali, El hassane Fliouet (2011)
Colloquium Mathematicae
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Let K be a purely inseparable extension of a field k of characteristic p ≠ 0. Suppose that is finite. We recall that K/k is lq-modular if K is modular over a finite extension of k. Moreover, there exists a smallest extension m/k (resp. M/K) such that K/m (resp. M/k) is lq-modular. Our main result states the existence of a greatest lq-modular and relatively perfect subextension of K/k. Other results can be summarized in the following: 1. The product of lq-modular extensions over k is...
Andrzej Schinzel (1963)
Colloquium Mathematicae
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András Vasy (2004-2005)
Séminaire Équations aux dérivées partielles
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In this talk we describe the propagation of and Sobolev singularities for the wave equation on manifolds with corners equipped with a Riemannian metric . That is, for , , and solving with homogeneous Dirichlet or Neumann boundary conditions, we show that is a union of maximally extended generalized broken bicharacteristics. This result is a counterpart of Lebeau’s results for the propagation of analytic singularities on real analytic manifolds with appropriately stratified...
Byczkowski, Tomasz
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László Lempert (2000)
Annales de l'institut Fourier
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Let be a Banach space and the ball of radius centered at . Can any holomorphic function on be approximated by entire functions, uniformly on smaller balls ? We answer this question in the affirmative for a large class of Banach spaces.
Walter Rudin (1975)
Annales de l'institut Fourier
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A simple theorem is proved which states a sufficient condition for the sum ot two closed subspaces of a Banach space to be closed. This leads to several analogues of Sarason’s theorem which states that is a closed subalgebra of . In these analogues, the unit circle is replaces by other groups, and the unit disc is replaced by polydiscs or by balls in spaces of several complex variables. Sums of closed ideals in Banach algebras are also studied.
Jan Denef (1990-1991)
Séminaire Bourbaki
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