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Front matter
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Index
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Front matter
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Issue 1-2: L'ENSEIGNEMENT MATHÉMATIQUE
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1
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Article
FORMULES POUR LES TRISÉCANTES DES SURFACES ALGÉBRIQUES
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1
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Chapter
Première partie : $P^4$
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9
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Chapter
I) Rappels et définitions; schémas Σ et $\Sigma_0$
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9
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Chapter
II) Trisécantes dans $P^4$: la théorie
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17
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Chapter
III) Trisécantes dans $P^4$: les calculs
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26
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Chapter
Deuxième partie: $P^5$, $P^6$, $P^7$
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32
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Chapter
IV) Trisécantes dans $P^5$
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32
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Chapter
V) Trisécantes dans $P^N$, N>s
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42
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Appendix
VI) Annexe
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48
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Bibliography
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65
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Article
SUITES RÉCURRENTES LINÉAIRES Propriétés algébriques et arithmétiques
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67
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Chapter
Introduction
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67
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Chapter
A. PROPRIÉTÉS ALGÉBRIQUES
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69
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Chapter
I. SÉRIES RATIONNELLES SUR UN CORPS K
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69
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Chapter
II. Quelques exemples
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71
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Chapter
III. Espaces de s.r.l. sur K
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75
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Chapter
IV.
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81
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Chapter
B. ÉTUDE ARITHMÉTIQUE
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87
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Chapter
I. MÉTHODES ÉLÉMENTAIRES
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87
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Chapter
II. MÉTHODES p-ADIQUES
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96
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Chapter
III. MÉTHODES TRANSCENDANTES
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102
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Bibliography
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106
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Article
NONLINEAR ANALYSIS IN GEOMETRY
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109
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Chapter
§1. Eigenvalues and Harmonic Functions
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112
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Chapter
§2. Yamabe's Equation and Conformally Flat Manifolds
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118
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Chapter
§3. Harmonic Maps
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120
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Chapter
1. Existence, uniqueness and regularity
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120
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Chapter
2. Noncompact manifolds
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121
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Chapter
3. Rigidity
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122
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Chapter
4. Harmonic maps in physics
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123
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Chapter
§4. Minimal submanifolds
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124
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Chapter
§5. Kähler Geometry
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129
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Chapter
1. Complex and almost complex structures
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129
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Chapter
2. KÄHLER AND ALGEBRAIC STRUCTURES
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130
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Chapter
3. Uniformization
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132
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Chapter
4. Analytic objects
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136
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Chapter
§6. Canonical Metrics Over Complex Manifolds
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138
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Chapter
1. The Bergman, Kobayashi-Royden and Caratheodory metrics
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138
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Chapter
2. Kähler-Einstein Metrics on Compact Kähler Manifolds
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141
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Chapter
3. Hermitian Manifolds and Stable Vector Bundles
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144
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Chapter
4. Chern Number Inequalities
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146
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Chapter
5. Kähler-Einstein Metrics on Noncompact Manifolds
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148
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Chapter
6. Ricci Flat Metrics on Noncompact Manifolds
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150
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Bibliography
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152
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Article
HOMOLOGIE DE DEGRÉ TROIS D'ALGÈBRES DE LIE SIMPLES DÉPLOYÉES ÉTENDUES À UNE ALGÈBRE COMMUTATIVE
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159
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Chapter
1. Introduction
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159
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Chapter
2. Préliminaires et énoncé des résultats
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161
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Chapter
3. Cas où g n'est pas de type A_n(n \geq 2)
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165
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Chapter
4. Remarques sur le cas de sl(r, A), r≥ 3
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170
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Bibliography
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173
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Rubric
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174
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Article
APPROXIMATION DES MOYENNES ARITHMÉTICO-GÉOMÉTRIQUES
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175
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Bibliography
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181
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Rubric
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182
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Article
ON THE GALOIS GROUPS OF THE EXPONENTIAL TAYLOR POLYNOMIALS
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183
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Chapter
I. Review of the Newton Polygon
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183
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Chapter
II. Application to the Exponential Taylor Polynomials
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185
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Chapter
III. Global Conclusions A and B
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186
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Chapter
IV. CALCULATION OF THE DISCRIMINANT
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187
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Chapter
V. End of Proof
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187
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Chapter
VI. Final Remarks
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187
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Bibliography
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189
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Rubric
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190
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Article
THE VARIETY OF MODULI OF FOLIATIONS ON A COMPLEX SPACE
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191
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Bibliography
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197
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Rubric
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198
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Article
THE THEOREM OF BROWN AND SARD
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199
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Bibliography
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202
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Article
SIMPLE PROOF OF THE MURASUGI AND KAUFFMAN THEOREMS ON ALTERNATING LINKS
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203
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Chapter
§1. Introduction
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203
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Chapter
§2. The extended dual state lemma
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208
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Chapter
§3. Kauffman's state model for the Jones polynomial
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215
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Chapter
§4. Proof of Theorem 1
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215
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Chapter
§5. Proof of Theorem 2
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218
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Appendix
Appendix: an improvement of the inequality of Theorem 1
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224
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Bibliography
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225
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Rubric
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226
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Article
SKETCH OF THE EVOLUTION OF (NONCOMMUTATIVE) RING THEORY
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227
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Chapter
I. Sources
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229
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Chapter
II. Exploration
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233
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Chapter
III. Classification
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237
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Chapter
IV. Structure of algebras
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241
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Chapter
V. Interlude
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250
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Chapter
VI. Structure of rings with minimum condition
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253
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Chapter
VII. SOME SUBSEQUENT DEVELOPMENTS
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257
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Bibliography
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264
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Rubric
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268
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Article
AN ELEMENTARY ACCOUNT OF SELBERG'S LEMMA
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269
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Bibliography
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273
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Rubric
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274
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Article
INVOLUTIONS IN SURFACE MAPPING CLASS GROUPS
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275
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Chapter
1. Introduction
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275
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Chapter
2. The subgroup generated by involutions
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276
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Chapter
3. Thurston's classification of mapping classes
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284
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Chapter
4. Products of involutions
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286
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Chapter
5. Remarks and examples
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287
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Bibliography
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290
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Article
THE COMPLEX CROSS RATIO ON THE HEISENBERG GROUP
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291
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Chapter
Introduction
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291
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Bibliography
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300
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Article
ON A CONSTRUCTION FOR THE REPRESENTATION OF A POSITIVE INTEGER AS THE SUM OF FOUR SQUARES
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301
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Bibliography
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306
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Article
SOME EXAMPLES OF GROUP ALGEBRAS WITHOUT FILTRED MULTIPLICATIVE BASIS
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307
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Chapter
§1. Preliminary remarks
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308
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Chapter
§2. Examples where the ground field is irrelevant
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309
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Chapter
§3. The group of quaternion units
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312
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Bibliography
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314
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Article
AN ORBIT CLOSING PROOF OF BROUWER'S LEMMA ON TRANSLATION ARCS
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315
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Abstract
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315
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Chapter
1. An isotopy closing lemma
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316
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Chapter
2. Fixed points for homeomorphisms of the sphere
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320
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Bibliography
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322
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Article
RADICALS AND HILBERT NULLSTELLENSATZ FOR NOT NECESSARILY ALGEBRAICALLY CLOSED FIELDS
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323
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Chapter
§1. The main result and definitions
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323
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Chapter
§2. SOME PROPERTIES OF THE K-RADICAL
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326
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Chapter
§3. Proof of the Hilbert K-Nullstellensatz
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329
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Chapter
§4. Connections with previous results
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333
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Chapter
§5. TWO EXAMPLES
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334
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Bibliography
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338
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Rubric
COMMISSION INTERNATIONALE DE L'ENSEIGNEMENT MATHÉMATIQUE (THE INTERNATIONAL COMMISSION ON MATHEMATICAL INSTRUCTION)
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339
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Rubric
BULLETIN BIBLIOGRAPHIQUE
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1
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Rubric
BULLETIN BIBLIOGRAPHIQUE
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33
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