Sur la recherche des $p$-extensions non ramifiées de $\mathbb {Q} (\mu _p)$

Kenneth A. Ribet

Displaying similar documents to “Sur la recherche des $p$ -extensions non ramifiées de $ℚ (μ_{p})$ ”

Estimates of the number of rational mappings from a fixed variety to varieties of general type

Tanya Bandman, Gerd Dethloff (1997)

Annales de l'institut Fourier

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First we find effective bounds for the number of dominant rational maps $f : X \to Y$ between two fixed smooth projective varieties with ample canonical bundles. The bounds are of the type ${A \cdot K_{X}^{n}}^{{B \cdot K_{X}^{n}}^{2}}$ , where $n = \dim X$ , $K_{X}$ is the canonical bundle of $X$ and $A, B$ are some constants, depending only on $n$ . Then we show that for any variety $X$ there exist numbers $c (X)$ and $C (X)$ with the following properties: For any threefold $Y$ of general type the number of dominant rational maps $f : X \to Y$ is bounded above by $c (X)$ . ...

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 $𝒞^{\infty}$ and Sobolev singularities for the wave equation on $𝒞^{\infty}$ manifolds with corners $M$ equipped with a Riemannian metric $g$ . That is, for $X = M \times ℝ_{t}$ , $P = D_{t}^{2} - Δ_{M}$ , and $u \in H_{loc}^{1} (X)$ 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 $𝒞^{\infty}$ counterpart of Lebeau’s results for the propagation of analytic singularities on real analytic manifolds with appropriately stratified...

Remarque au travail de W. Sierpiński sur les nombres $a^{2^{n}} + 1$

Andrzej Schinzel (1963)

Colloquium Mathematicae

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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...

Travaux de Laumon

Nicholas M. Katz (1987-1988)

Séminaire Bourbaki

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Gaussian measures on $L_{p}$ spaces, $0 \leq p < \infty$

Byczkowski, Tomasz

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Report on Igusa's local zeta function

Jan Denef (1990-1991)

Séminaire Bourbaki

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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...

Travaux de Dwork

Nicholas Katz (1971-1972)

Séminaire Bourbaki

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Displaying similar documents to “Sur la recherche des p -extensions non ramifiées de ℚ ( μ p ) ”

Displaying similar documents to “Sur la recherche des $p$ -extensions non ramifiées de $ℚ (μ_{p})$ ”