共查询到20条相似文献,搜索用时 15 毫秒
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Emmanuel Philippe 《Comptes Rendus Mathematique》2011,349(21-22):1183-1186
In this Note we give an explicit formula for the length of the shortest geodesic loop for hyperbolic spheres with three singularities of order greater than 3. 相似文献
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Soient k un corps de caractéristique 0 et X une k[[t]]-variété (éventuellement singulière) plate, purement de dimension relative d. Nous prouvons la rationalité des séries de Poincaré motiviques et de fonctions Zêta dIgusa motiviques, associées à X, à laide de lintégration motivique, du théorème de désingularisation plongée dHironaka, de la théorie des modèles de Néron faibles pour les schémas formels et dun théorème délimination des quantificateurs en théorie des modèles.Revised version: 17 March 2004 相似文献
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《Comptes Rendus Mathematique》2008,346(19-20):1087-1091
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We introduce a class of non uniform tree lattices, analogous to the fundamental group of geometrically finite negatively curved manifolds. This class contains all the algebraic examples. Given such a tree lattice, we develop, as in [HP2] in the manifold case, a theory of diophantine approximation of points in the boundary of the tree by the parabolic fixed points. We compute approximation constants for some algebraic examples. All results are expressed intrinsically in terms of a natural geodesic flow for a graph of groups.
DMA, UMR 8553 CNRS, École Normale Supérieure, 45 rue dUlm, 75230 Paris Cedex 05, France. e-mail:Frederic.Paulin@ens.fr
Mathematics Subject Classification (2000): 20E08, 11J61, 20G25, 11J06 相似文献
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《Comptes Rendus de l'Academie des Sciences Series IIA Earth and Planetary Science》1997,324(11):1217-1220
We prove that a sequence of faithful and discrete (but not necessarily with finite covolume) representations of a finitely generated group Γ in a semisimple Lie group, that goes to infinity, converges to an isometric action of Γ on an affine building, with controlled germ of apartment stabilizers. 相似文献
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《Journal de Mathématiques Pures et Appliquées》2003,82(10):1369-1394
In this paper, we present and solve some very general new Padé approximant problems, whose solutions can be expressed with hypergeometric series. These series appear in the proofs of the irrationality of ζ(3), of infinitely many ζ(2n+1), and in essentially all results of this kind in the literature. We also prove two new Diophantine results with this method. 相似文献
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《Comptes Rendus de l'Academie des Sciences Series IIA Earth and Planetary Science》1999,328(12):1167-1170
Let a, c ≥ 0 and let B be a compact set of scalars. We introduce property M* (a, B, c) of Banach spaces X which is a geometric property of Banach spaces generalizing property (M*) due to Kalton. Using M*(a, B, c) with max ¦B¦ + c > 1, we characterize intrinsically a large class of shrinking approximations of the identity, including those related to M-, u-, and h-ideals of compact operators. We also show that the existence of these approximations of the identity is separably determined. As an application, we study ideals of compact and approximable operators. In particular, this provides an alternative unified and easier approach to the theories of M-, u-, and h-ideals of compact operators. 相似文献
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Joël Riou 《Comptes Rendus Mathematique》2005,340(6):431-436
In this Note, we study finitely presented objects in the stable -homotopy category introduced by Morel and Voevodsky and we use a theorem by Voevodsky and Ayoub on the four functors to get Spanier–Whitehead duality in -homotopy theory. To cite this article: J. Riou, C. R. Acad. Sci. Paris, Ser. I 340 (2005). 相似文献
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Jean-Paul Bézivin 《manuscripta mathematica》2008,126(1):41-47
Résumé Let with |q| > 1, and a be a rational number such that a
2 is not equal to for . In this note, we prove that the sum is irrational. 相似文献
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Jean Chaumine 《Comptes Rendus Mathematique》2006,343(4):265-266
In this Note, we improve a result of Shokrollahi who has applied the algorithm of D.V. Chudnovsky and G.V. Chudnovsky to algebraic curves of genus one. More precisely, from the Abelian group structure of the set of rational points on elliptic curves, we show that, if , then the bilinear complexity of the multiplication in all extensions is equal to 2n. To cite this article: J. Chaumine, C. R. Acad. Sci. Paris, Ser. I 343 (2006). 相似文献
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