Displaying similar documents to “Estimates of the number of rational mappings from a fixed variety to varieties of general type”

Théorème de la clôture lq-modulaire et applications

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 [ k : k p ] 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...

Propagation of singularities for the wave equation on manifolds with corners

András Vasy (2004-2005)

Séminaire Équations aux dérivées partielles

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In this talk we describe the propagation of 𝒞 and Sobolev singularities for the wave equation on 𝒞 manifolds with corners M equipped with a Riemannian metric g . That is, for X = M × t , P = D t 2 - Δ M , and u H loc 1 ( X ) solving P u = 0 with homogeneous Dirichlet or Neumann boundary conditions, we show that WF b ( u ) is a union of maximally extended generalized broken bicharacteristics. This result is a 𝒞 counterpart of Lebeau’s results for the propagation of analytic singularities on real analytic manifolds with appropriately stratified...

Approximation of holomorphic functions of infinitely many variables II

László Lempert (2000)

Annales de l'institut Fourier

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Let X be a Banach space and B ( R ) X the ball of radius R centered at 0 . Can any holomorphic function on B ( R ) be approximated by entire functions, uniformly on smaller balls B ( r ) ? We answer this question in the affirmative for a large class of Banach spaces.

Spaces of type H + C

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 H + C is a closed subalgebra of L . 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.

Falsity conditions for IF-sentences

Francien Dechesne (2005)

Philosophia Scientiae

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La logique IF prétend constituer une alternative à la logique classique du premier ordre : en libéralisant les schémas de dépendance entre quantificateurs, elle mènerait à leur terme les idées sous-jacentes à la logique classique. Mais les jeux de Hintikka ne constituent pas la seule manière possible de fournir une sémantique pour l’indépendance : on pourrait au contraire vouloir le faire dans le cadre d’une sémantique récursive avec des quantificateurs de Henkin. Nous présentons ici...