|
Issue 1-2: L'ENSEIGNEMENT MATHÉMATIQUE
|
|
Front matter
PDF
|
|
Table of Contents
PDF
|
1
|
Front matter
PDF
|
2
|
Article
HIGHER EULER CHARACTERISTICS (I)
PDF
|
3
|
Abstract
PDF
|
3
|
Chapter
Introduction
PDF
|
3
|
Chapter
1. Three définitions of the first order Euler characteristic
PDF
|
5
|
Chapter
2. Discussion of Définition $A_1$
PDF
|
9
|
Chapter
3. SOME CALCULATIONS
PDF
|
15
|
Chapter
4. $S^1$-FIBRATIONS
PDF
|
20
|
Chapter
5. A HIGHER ANALOG OF GOTTLIEB'S THEOREM
PDF
|
25
|
Chapter
6. Mapping Tori
PDF
|
31
|
Chapter
7. More on groups of type F
PDF
|
43
|
Chapter
8. OUTER AUTOMORPHISMS OF GROUPS OF TYPE F
PDF
|
47
|
Chapter
9. Trace formulae for homological intersections
PDF
|
50
|
Chapter
10. Proofs of Theorems 1.1 and 1.5
PDF
|
58
|
Bibliography
PDF
|
61
|
Article
STRUCTURE CONFORME AU BORD ET FLOT GÉODÉSIQUE D'UN CAT(- 1)-ESPACE
PDF
|
63
|
Abstract
PDF
|
63
|
Abstract
PDF
|
63
|
Abstract
Sommaire
PDF
|
63
|
Chapter
Introduction
PDF
|
64
|
Chapter
1. Préliminaires
PDF
|
65
|
Chapter
1.1. GÉNÉRALITÉS SUR LES ESPACES MÉTRIQUES
PDF
|
65
|
Chapter
1.2. Espaces hyperboliques géodésiques
PDF
|
67
|
Chapter
1.3. $CAT(-b^2)$-espaces
PDF
|
68
|
|
Chapter
1.4. Bord d'un espace hyperbolique
|
69
|
|
Chapter
1.5. MÉTRIQUES VISUELLES SUR δX
|
70
|
|
Chapter
1.6. Action au bord des quasi-isométries
|
72
|
|
Chapter
1.7. Groupes hyperboliques
|
77
|
|
Chapter
1.8. Groupes quasi-convexes
|
78
|
|
Chapter
2. Structure conforme sur le bord d'un CAT(-1)-espace Ensemble limite et flot géodésique associés à une action quasi-convexe
|
80
|
|
Chapter
2.0. Introduction
|
80
|
|
Chapter
2.1. Fonctions de Busemann
|
82
|
|
Chapter
2.2. Distances horosphériques
|
82
|
|
Chapter
2.3. Horosphères
|
82
|
|
Chapter
2.4. Produit de Gromov de deux éléments de δX
|
83
|
|
Chapter
2.5. Une famille de métriques visuelles sur δX
|
84
|
|
Chapter
2.6. Structure conforme sur δX
|
89
|
|
Chapter
2.7. Mesures conformes sur l'ensemble limite d'un groupe quasiconvexe
|
92
|
|
Chapter
2.8. Flot géodésique associé à une action quasi-convexe
|
93
|
|
Chapter
2.9. Le paramétrage de Hopf de $E, \Phi_T$
|
95
|
|
Chapter
2.10. Mesure d'entropie maximale
|
96
|
|
Chapter
2.11. Preuve du théorème 2.0.1.
|
97
|
|
Bibliography
|
101
|
|
Article
CONCERNING A REAL-VALUED CONTINUOUS FUNCTION ON THE INTERVAL WITH GRAPH OF HAUSDORFF DIMENSION 2
|
103
|
|
Abstract
|
103
|
|
Chapter
0. Introduction
|
103
|
|
Chapter
1. A Lemma about mass distribution
|
105
|
|
Chapter
2. A Lemma about mass distribution AND SUCCESSIVE TRANSLATIONS
|
105
|
|
Chapter
3. Hausdorff measure, net measure and Hausdorff dimension
|
106
|
|
Chapter
4. Mass distribution and Hausdorff dimension
|
106
|
|
Chapter
5. The main result
|
107
|
|
Bibliography
|
109
|
|
Article
FORMES QUADRATIQUES DEVENANT ISOTROPES SUR UNE EXTENSION
|
111
|
|
Chapter
Introduction
|
111
|
|
Chapter
1. Rappels et notations (voir [4] ou [7])
|
111
|
|
Chapter
2. Critères
|
112
|
|
Chapter
3. DÉMONSTRATION DU THÉORÈME 1
|
113
|
|
Chapter
4. Extensions finies – le théorème de Springer
|
114
|
|
Chapter
5. Extensions finies formulations équivalentes des critères du §2
|
115
|
|
Chapter
6. Corps de fonctions d'une quadrique
|
117
|
|
Chapter
7. Applications
|
118
|
|
Bibliography
|
121
|
|
Article
CHAOTIC GROUP ACTIONS
|
123
|
|
Abstract
|
123
|
|
Chapter
1. Introduction
|
123
|
|
Chapter
2. Chaos Equals Residual Finiteness
|
124
|
|
Chapter
3. Constructions of Chaotic Group Actions
|
127
|
|
Chapter
4. Manifolds That Admit Chaotic Group Actions
|
128
|
|
Chapter
5. Other Questions
|
131
|
|
Bibliography
|
132
|
|
Article
UNE CARACTÉRISATION DU PLAN PROJECTIF COMPLEXE
|
135
|
|
Chapter
Introduction
|
135
|
|
Bibliography
|
139
|
|
Article
JACOBI SUMS AND STICKELBERGER'S CONGRUENCE
|
141
|
|
Abstract
|
141
|
|
Chapter
Introduction
|
141
|
|
Chapter
Proof of Stickelberger's Congruence Via Jacobi Sums
|
143
|
|
Chapter
Proof of Jacobi Sum Congruence Via Stickelberger
|
148
|
|
Bibliography
|
152
|
|
Article
UN THÉORÈME DE RIGIDITÉ POUR LES SURFACES MINIMALES DE $E^3$
|
155
|
|
Chapter
1. Introduction
|
155
|
|
Chapter
2. RÉSULTATS
|
156
|
|
Chapter
3. DÉMONSTRATIONS
|
159
|
|
Chapter
4. Exemples
|
172
|
|
Appendix
Annexe I
|
176
|
|
Bibliography
|
177
|
|
Rubric
BULLETIN BIBLIOGRAPHIQUE
|
1
|
|
Back matter
|
|
|
Back matter
|
|
|
Issue 3-4: L'ENSEIGNEMENT MATHÉMATIQUE
|
|
|
Front matter
|
|
|
Table of Contents
|
179
|
|
Front matter
|
180
|
|
Article
ON THE COHOMOLOGY OF COMPACT LIE GROUPS
|
181
|
|
Abstract
|
181
|
|
Chapter
1. Introduction
|
181
|
|
Chapter
2. Basic material
|
183
|
|
Chapter
3. Invariant Theory
|
184
|
|
Chapter
4. Invariant Differential Forms
|
189
|
|
Chapter
5. The cohomology of flag manifolds
|
190
|
|
Chapter
6. The cohomology of a Lie group
|
194
|
|
Bibliography
|
199
|
|
Article
SYNTHETIC PROJECTIVE GEOMETRY AND POINCARÉ'S THEOREM ON AUTOMORPHISMS OF THE BALL
|
201
|
|
Chapter
1. Introduction
|
201
|
|
Chapter
2. The local collineation theorem
|
203
|
|
Chapter
3. The Poincaré-Tanaka and Chern-Ji theorems
|
211
|
|
Bibliography
|
214
|
|
Article
PLURIDIMENSIONAL ABSOLUTE CONTINUITY FOR DIFFERENTIAL FORMS AND THE STOKES FORMULA
|
217
|
|
Abstract
Table of Contents
|
217
|
|
Chapter
Introduction
|
217
|
|
Chapter
1. INTEGRAL AND ABSOLUTE CONTINUITY AND THE LOCAL PROBLEM
|
221
|
|
Chapter
2. Characterizations of the pluridimensional absolute continuity
|
226
|
|
Chapter
3. A MAXIMUM PRINCIPLE
|
229
|
|
Chapter
4. The global Stokes formula for simple Lipschitz domains in $R^n$
|
233
|
|
Chapter
5. The global form of the Stokes formula on $C^1$ manifolds
|
237
|
|
Chapter
6. Tests for the equalities du =f and $\bar{\delta}u =f$ in the weak sense
|
240
|
|
Chapter
7. SOME APPLICATIONS TO HYPERCOMPLEX FUNCTION THEORY
|
248
|
|
Bibliography
Bibliographie
|
253
|
|
Article
BIRAPPORT ET GROUPOÏDES
|
257
|
|
Chapter
1. Groupoïdes et espaces projectifs
|
257
|
|
Chapter
1.1 Présentation d'un groupoïde par générateurs et relations
|
257
|
|
Chapter
1.2 Le groupoïde des points de $P^n(F)$
|
259
|
|
Chapter
1.3 Preuve du théorème 2
|
262
|
|
Chapter
2. Groupoïdes et Grassmanniennes
|
264
|
|
Chapter
2.1 Présentation par générateurs et relations
|
264
|
|
Chapter
2.2 Invariants projectifs de quadruplets de sous-espaces de dimension l-1 de $P^{2l-1}(F)$
|
268
|
|
Chapter
3. HOMOLOGIE DU GROUPE LINÉAIRE ET GÉOMÉTRIE PROJECTIVE
|
270
|
|
Chapter
3.1 HOMOLOGIE DU GROUPE MULTIPLICATIF D'UN CORPS ET ESPACE PROJECTIF INFINI
|
270
|
|
Chapter
3.2 Homologie du groupe linéaire et grassmanniennes infinies
|
274
|
|
Chapter
4. MULTIRAPPORTS
|
276
|
|
Chapter
4.1 GROUPOÏDES ET n-RAPPORTS
|
276
|
|
Chapter
4.2 Remarques sur un invariant de Goncharov
|
277
|
|
Bibliography
Bibliographie
|
280
|
|
Article
RATIONALITY PROBLEMS FOR K-THEORY AND CHERN-SIMONS INVARIANTS OF HYPERBOLIC 3-MANIFOLDS
|
281
|
|
Chapter
1. Hyperbolic 3-manifolds and Bloch groups
|
284
|
|
Chapter
2. Borel's Theorem
|
286
|
|
Chapter
3. Proof and generalization of Theorem B
|
289
|
|
Chapter
4. Milnor's and Ramakrishnan's conjectures
|
291
|
|
Chapter
5. Chern-Simons invariants and the regulator map
|
294
|
|
Bibliography
Bibliographie
|
295
|
|
Article
CUBIC FORMS AND COMPLEX 3-FOLDS
|
297
|
|
Abstract
Résumé
|
297
|
|
Chapter
Introduction
|
297
|
|
Chapter
1. Topological classification of certain 6-manifolds
|
299
|
|
Chapter
1.1 HOMEOMORPHISM TYPES AND $C^\infty$-STRUCTURES
|
299
|
|
Chapter
1.2 Homotopy types
|
301
|
|
Chapter
2. Realization of cubic forms
|
303
|
|
Chapter
2.1 COHOMOLOGY RINGS OF 6-MANIFOLDS
|
304
|
|
Chapter
2.2 Homotopy types with a given cohomology ring
|
306
|
|
Chapter
3. Algebra and arithmetic of cubic forms
|
309
|
|
Chapter
3.1 Algebraic properties of cubic forms
|
309
|
|
Chapter
3.2 The GIT quotient $S^3 H_C^v//SL(H_C)$
|
311
|
|
Chapter
3.3 Arithmetical aspects
|
313
|
|
Chapter
4. Invariants of complex 3-folds
|
315
|
|
Chapter
4.1 Chern numbers of almost complex structures
|
315
|
|
Chapter
4.2 Standard constructions
|
318
|
|
Chapter
4.3 EX AMPLES OF 1-CONNECTED NON-KÄHLERIAN 3-FOLDS
|
320
|
|
Chapter
5. Complex 3-folds with small $b_2$
|
324
|
|
Chapter
5.1 3-folds with $b_2 = 1$
|
325
|
|
Chapter
5.2 3-folds with $b_2 = 2$
|
326
|
|
Chapter
5.3 3-folds with $b_2 \geq 3$
|
328
|
|
Bibliography
Bibliographie
|
330
|
|
Article
DENSITÉ DANS DES FAMILLES DE RÉSEAUX. APPLICATION AUX RÉSEAUX ISODUAUX
|
335
|
|
Abstract
Résumé
|
335
|
|
Abstract
Résumé
|
335
|
|
Chapter
1. Introduction
|
335
|
|
Chapter
2. Exemples
|
337
|
|
Chapter
3. Perfection et eutaxie
|
340
|
|
Chapter
4. EXTRÉMALITÉ DANS F
|
343
|
|
Chapter
5. RÉSULTATS DE CLASSIFICATION
|
348
|
|
Chapter
6. ISODUALITÉ
|
349
|
|
Chapter
7. RÉSEAUX ISODUAUX ORTHOGONAUX ET SYMPLECTIQUES
|
356
|
|
Chapter
8. Classification des réseaux isoduaux de petite dimension
|
360
|
|
Bibliography
Bibliographie
|
364
|
|
Rubric
BULLETIN BIBLIOGRAPHIQUE
|
35
|
|
Back matter
Pages complémentaires
|
|
|
Front matter
Pages liminaires
|
|
|
Index
|
|
|
Back matter
Pages complémentaires
|
|
|
Back matter
Pages complémentaires
|
|
|
Back matter
Pages complémentaires
|
|