By N. Bourbaki
Desk of Contents
Seminaire Bourbaki quantity forty three web page 1 2000-2001 [doi UNKNOWN] Laurent Bonavero -- Factorisation faible des functions birationnelles
Seminaire Bourbaki quantity forty three web page 39 2000-2001 [doi UNKNOWN] Marco Brunella -- Courbes entieres dans les surfaces algebriques complexes
Seminaire Bourbaki quantity forty three web page sixty three 2000-2001 [doi UNKNOWN] Michel Emery -- Espaces probabilises filtres : de l. a. theorie de Vershik au mouvement brownien, through des idees de Tsirelson
Seminaire Bourbaki quantity forty three web page eighty five 2000-2001 [doi UNKNOWN] Marc Herzlich -- Linegalite de Penrose
Seminaire Bourbaki quantity forty three web page 113 2000-2001 [doi UNKNOWN] Michele Audin -- Integrabilite et non-integrabilite de systemes hamiltoniens
Seminaire Bourbaki quantity forty three web page 137 2000-2001 [doi UNKNOWN] Pierre Cartier -- Fonctions polylogarithmes, nombres polyzetas et groupes pro-unipotents
Seminaire Bourbaki quantity forty three web page one hundred seventy five 2000-2001 [doi UNKNOWN] Antoine Chambert-Loir -- Theoremes d algebricite en geometrie diophantienne
Seminaire Bourbaki quantity forty three web page 211 2000-2001 [doi UNKNOWN] Philippe Michel -- Repartition des zeros des fonctions L et matrices aleatoires
Seminaire Bourbaki quantity forty three web page 249 2000-2001 [doi UNKNOWN] Michele Vergne -- Quantification geometrique et aid symplectique
Seminaire Bourbaki quantity forty three web page 279 2000-2001 [doi UNKNOWN] Philippe Biane -- Entropie libre et algebres d operateurs
Seminaire Bourbaki quantity forty three web page 301 2000-2001 [doi UNKNOWN] man Henniart -- Progres recents en fonctorialite de Langlands
Seminaire Bourbaki quantity forty three web page 323 2000-2001 [doi UNKNOWN] Emmanuel Peyre -- issues de hauteur bornee et geometrie des varietes
Seminaire Bourbaki quantity forty three web page 345 2000-2001 [doi UNKNOWN] Georges Skandalis -- Geometrie non commutative, operateur de signature transverse et algebres de Hopf
Seminaire Bourbaki quantity forty three web page 365 2000-2001 [doi UNKNOWN] Cedric Villani -- Limites hydrodynamiques de l equation de Boltzmann
Read or Download Séminaire Bourbaki, Vol. 43, 2000-2001, Exp. 880-893 PDF
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Extra info for Séminaire Bourbaki, Vol. 43, 2000-2001, Exp. 880-893
Example text
0. e. engen- avec 03BB ~ 0, 03BB ~ Q+ (car p est réduite et non dégénérée). Supposons aussi que À / R (voir [Brl] pour le cas À E R-, qui est en effet un peu plus délicat). Alors, quitte à restreindre U, la 3-sphère ~U est transverse et donc F induit sur au un feuilletage non singulier réel £ de dimension 1, orienté par 0) u : Le courant ~ est associé à une mesure transverse à 0, invariante par holonomie la valeur de 03A6 sur ~ se calcule en intégrant 7/ le long des feuilles et ensuite en intégrant la fonction ainsi obtenue (sur l’espace des feuilles) par rapport à la mesure [Sul] : transverse.
3 sur les nombres de Chern de X est utilisée exclusivement à travers le lemme suivant. 1 (Bogomolov). - Si > c2(X ), alors lefibré est gros Démonstration. ainsi d’après pour un Un calcul standard donne la formule de Riemann-Roch appliquée à certain - c > 0 et pour tout l’isomorphisme m » 0. D’autre = ci (X ) - c2 (X ) > 0, et on a part, par dualité de Serre et on a Mais X est de type général, donc a des sections triviales pour m » 0, et par conséquent pour m » 0 Donc conclusion cherchée : dim HO(PT X, est gros.
4. 5 toute (Kobayashi). hypersurface générique - dans i) conjecture sur les courbes Kobayashi, formulée autour de 1970. une autre Pour tout n à 1, il existe un entier d(n) tel que de degré d > d(n) est hyperbolique. Pour tout n 1 il existe un entier e(n) tel que, pour toute hypersurface générique D est hyperbolique. D dans CPn de degré e ~ e(n), le complémentaire ii) générique signifie qu’il faut exclure, dans l’espace des hypersurfaces de degré donné, celles qui appartiennent à une union dénombrable de sous-ensembles algébriques.
Séminaire Bourbaki, Vol. 43, 2000-2001, Exp. 880-893 by N. Bourbaki
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