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Issue 1-2: L'ENSEIGNEMENT MATHÉMATIQUE
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Front matter
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Table of Contents
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Front matter
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Index
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Front matter
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Article
ORIGINS OF THE COHOMOLOGY OF GROUPS
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1
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Chapter
1. The Historical Questions
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1
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Chapter
2. Fundamental Group and 2nd Betti Group
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1
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Chapter
3. Homology and Cohomology of Groups
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4
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Chapter
4. The Background in Abstract Algebra
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8
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Chapter
5. The Background in Class Field Theory
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9
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Chapter
6. Betti Numbers or Homology Groups
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11
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Chapter
7. The Background in Homotopy
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13
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Chapter
8. The Cohomology of Groups
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13
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Chapter
9. Spectral Sequences
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14
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Chapter
10. Transfer
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15
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Chapter
11. Class Field Theory
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17
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Chapter
12. Homological Algebra
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17
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Chapter
13. Functors and Categories
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20
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Chapter
14. Duality
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21
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Chapter
15. Cohomology of Algebraic Systems
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24
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Chapter
16. Some Historical Questions.
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25
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Bibliography
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26
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Article
ON CAYLEY'S EXPLICIT SOLUTION TO PONCELET'S PORISM
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31
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Chapter
1. Points of finite order on elliptic curves
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33
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Chapter
2. Application to the Poncelet problem
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38
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Article
COINCIDENCE-FIXED-POINT INDEX
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41
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Chapter
Introduction
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41
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Chapter
§ 1. The coincidence-fixed-point (c.f.p.) index
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42
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Chapter
§ 2. The Lefschetz trace formula for the c.f.p. index
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45
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Chapter
§ 3. Applications, Problems.
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49
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Bibliography
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53
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Article
ON A FUNCTIONAL EQUATION RELATING TO THE BRAUER-RADEMACHER IDENTITY
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55
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Bibliography
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61
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Article
ÜBERLAGERUNGEN DER PROJEKTIVEN EBENE UND HILBERTSCHE MODULFLÄCHEN
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63
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Bibliography
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78
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Article
MAPS BETWEEN CLASSIFYING SPACES
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79
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Bibliography
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85
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Article
SOLUTIONS PRESQUE-PÉRIODIQUES DES ÉQUATIONS DIFFÉRENTIELLES ABSTRAITES
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87
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Chapter
Introduction
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87
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Chapter
§1. Solution presque-périodiques de l'équation $\left( \frac{d}{dt}-A \right)u = 0$
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88
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Chapter
§2. Presque-périodicité des solutions bornées
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89
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Chapter
§3. Presque-périodicité des solutions a trajectoire relativement compacte
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93
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Chapter
§4. Presque-périodicité des solutions faibles minimales
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99
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Bibliography
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110
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Article
SOUS-GROUPES DÉRIVÉS DES GROUPES DE NŒUDS
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111
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Chapter
§1. Présentations dynamiques
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111
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Chapter
§2. Groupes de nœuds
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114
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Chapter
§3. Exemples
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116
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Bibliography
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123
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Article
DILATATIONEN VON ABELSCHEN GRUPPEN
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125
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Chapter
I. KONGRUENZKLASSENGEOMETRIEN UND GRUPPENGEOMETRIEN
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127
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Chapter
II. Dilatationen von Gruppen
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130
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Chapter
III. DILATATIONSGRUPPEN VON ENDLSICHEN ABELSCHEN p-GRUPPEN
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137
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Article
ON THE GELFAND-FUKS COHOMOLOGY
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143
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Chapter
1. Definitions
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143
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Chapter
2. Connection with foliations
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145
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Chapter
3. The formal vector fields and the diagonal complex
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146
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Chapter
4. Main theorem
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148
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Chapter
5. Construction of an algebraic model for the space OF SECTIONS OF A FIBER BUNDLE ([20], [18], [13]).
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149
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Chapter
6. Sketch of the proof of the main theorem and applications
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152
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Chapter
7. Example of a computation
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153
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Chapter
8. Case of a manifold with boundary
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155
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Chapter
9. Construction of a model for $C^\star (L_{M,N})$
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156
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Chapter
10. SOME OTHER PROBLEMS
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158
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Bibliography
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159
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Article
THE LEVI PROBLEM AND PSEUDO-CONVEX DOMAINS: A SURVEY
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161
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Chapter
§1. The Levi Problem
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161
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Chapter
§2. Pseudo-convex Domains
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167
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Bibliography
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171
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Article
REMARKS ON THE UNIVERS AL TEICHMÜLLER SPACE
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173
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Chapter
1. Introduction
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173
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Chapter
2. Reformulations in the plane
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174
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Chapter
3. Spirals
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175
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Chapter
4. OUTLINE OF THE PROOF OF THEOREM 5
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177
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Chapter
5. CONCLUDING REMARKS
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177
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Bibliography
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178
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Article
ALGEBRAIC ASPECTS OF THE THEORY OF PARTIAL DIFFERENTIAL EQUATIONS
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179
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Chapter
1. Dimension of D-Modules
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179
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Chapter
2. General constructions on D and E-Modules
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182
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Chapter
3. FURTHER RESULTS ON HOLONOMIC SYSTEMS
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186
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Bibliography
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187
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Article
EINIGE VERZERRUNGSAUSSAGEN BEI QUASIKONFORMEN ABBILDUNGEN ENDLICH VIELFACH ZUSAMMENHÄNGENDER GEBIETE
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189
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Bibliography
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201
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Article
UNIVALENT FUNCTIONS, SCHWARZIAN DERIVATIVES AND QUASICONFORMAL MAPPINGS
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203
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Chapter
1. Introduction
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203
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Chapter
2. Quasiconformal mappings
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203
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Chapter
3. Quasicircles
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205
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Chapter
4. Deviation of a domain from a disc
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206
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Chapter
5. SCHWARZIAN DERIVATIVE AND UNIVALENCE
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210
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Bibliography
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213
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Article
HOW QUICKLY CAN AN ENTIRE FUNCTION TEND TO ZERO ALONG A CURVE ?
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215
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Chapter
1. Introduction
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215
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Chapter
2. The case when E is a curve
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217
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Chapter
3. An extended reflexion principle
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218
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Chapter
4. Conclusions
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221
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Bibliography
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223
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Article
SINGULAR INTEGRAL EQUATION CONNECTED WITH QUASICONFORMAL MAPPINGS IN SPACE
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225
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Chapter
1. Introduction
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225
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Chapter
2. Definitions and notations
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225
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Chapter
3. Invariance properties
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226
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Chapter
4. NON-EUCLIDEAN MOTIONS
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228
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Chapter
5. FUNDAMENTAL SOLUTIONS
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229
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Chapter
6. POTENTIALS
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231
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Chapter
7. Computation of SIv
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233
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Chapter
8. Automorphic functions and beltrami differentials
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235
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Bibliography
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235
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Article
INVARIANTS OF FINITE REFLECTION GROUPS
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237
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Chapter
Introduction
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237
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Chapter
CHAPTER I GENERAL THEORY
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239
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Chapter
1. The Main Theorem of Invariant Theory
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239
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Chapter
2. Molien's Formula
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243
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Chapter
CHAPTER II INVARIANT THEORETIC CHARACTERIZATION OF FINITE REFLECTION GROUPS
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245
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Chapter
1. Chevalley's Theorem
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245
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Chapter
2. The Theorem of Shephard and Todd
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248
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Chapter
3. A Formula for $\frac{\delta \left(I_1,\ldots,I_n \right)}{\delta \left(x_1,\ldots,x_n\right)}$
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253
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Chapter
4. Decomposition of Finite Reflection Groups
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254
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Chapter
CHAPTER III THE DEGREES OF THE BASIC INVARIANTS
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256
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Chapter
1. The Classification of the Finite Real Reflection Groups
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257
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Chapter
2. The Computation of the Degrees for Real Finite Reflection Groups
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262
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Chapter
3. Tabulation of the Degrees
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271
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Chapter
4. Solomon's Theorem
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274
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Chapter
CHAPTER IV PARTIAL DIFFERENTIAL EQUATIONS AND MEAN VALUE PROPERTIES
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280
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Chapter
1. Invariant partial differential equations
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280
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Chapter
2. Mean Value Properties
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283
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Bibliography
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292
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Article
CARTIER DUALITY AND FORMAL GROUPS OVER Z
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293
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Chapter
§1. Introduction
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293
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Chapter
§2. Groups
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296
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Chapter
§3. Formal Groups
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300
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Bibliography
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303
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Article
MÉTRIQUES KÄHLÉRIENNES ET SURFACES MINIMALES
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305
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Chapter
§0. Introduction
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305
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Chapter
§1. Rappels et notation.
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305
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Chapter
§2. MÉTRIQUE HERMITIENNE ET SOUS-VARIÉTÉS MINIMALES.
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307
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Bibliography
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310
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Article
SIMPLE PROOF OF THE MAIN THEOREM OF ELIMINATION THEORY IN ALGEBRAIC GEOMETRY
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311
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Abstract
SUMMARY
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311
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Chapter
1. Hilbert's zero theorem: a particular case
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311
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Chapter
2. Proof of Hilbert's zero theorem
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312
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Chapter
3. Elimination theory
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314
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Chapter
4. Proof of theorem D
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315
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Chapter
5. Application to schemes
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316
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Rubric
BULLETIN BIBLIOGRAPHIQUE
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Rubric
BULLETIN BIBLIOGRAPHIQUE
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41
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Back matter
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Back matter
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