brauer groups, tamagawa measures, and rational points

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PART A THE BRAUER GROUP
Page 1 and 2: BRAUER GROUPS, TAMAGAWA MEASURES, A
Page 3: BRAUER GROUPS, TAMAGAWA MEASURES, A
Page 6 and 7: iv CONTENTS 8. Examples . . .......
Page 8 and 9: vi CONTENTS 4. Results . . ........
Page 10 and 11: viii NOTATION AND FUNDAMENTAL CONVE
Page 13 and 14: INTRODUCTION Here, in the midst of
Page 15 and 16: INTRODUCTION xiii many rational poi
Page 17 and 18: INTRODUCTION xv examples of cubic s
Page 19 and 20: INTRODUCTION xvii from central simp
Page 21 and 22: INTRODUCTION xix generating Brauer
Page 23 and 24: INTRODUCTION xxi by Yuri Bilu [Bilu
Page 25: INTRODUCTION xxiii X might be a can
Page 30 and 31: 4 THE BRAUER-SEVERI VARIETY OF A CE
Page 36 and 37: 10 THE BRAUER-SEVERI VARIETY OF A C
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50 THE BRAUER-SEVERI VARIETY OF A C
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62 ON THE BRAUER GROUP OF A SCHEME
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CHAPTER III AN APPLICATION: THE BRA
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Sec. 1] ADELIC POINTS 101 Now we us
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Sec. 2] THE BRAUER-MANIN OBSTRUCTIO
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Sec. 2] THE BRAUER-MANIN OBSTRUCTIO
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Sec. 3] TECHNICAL LEMMATA 107 3.2.
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Sec. 3] TECHNICAL LEMMATA 109 Let X
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Sec. 4] COMPUTING THE BRAUER-MANIN
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Sec. 5] THE EXAMPLES OF MORDELL 113
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Sec. 6] THE “FIRST CASE” OF DIA
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CHAPTER IV THE CONCEPT OF A HEIGHT
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Sec. 2] GENERALIZATION TO NUMBER FI
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Sec. 2] GENERALIZATION TO NUMBER FI
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Sec. 3] GEOMETRIC INTERPRETATION 15
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Sec. 4] BASIC ARITHMETIC INTERSECTI
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)⊗É Sec. 4] BASIC ARITHMETIC INT
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Sec. 5] AN INTERSECTION PRODUCT ON
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Sec. 5] AN INTERSECTION PRODUCT ON
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Sec. 6] THE ARITHMETIC HILBERT-SAMU
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Sec. 6] THE ARITHMETIC HILBERT-SAMU
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Sec. 7] THE ADELIC PICARD GROUP 173
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CHAPTER V ON THE DISTRIBUTION OF SM
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Sec. 1] INTRODUCTION 191 1.11. Rema
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Sec. 2] THE DYNAMICS OF f 193 First
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Sec. 2] THE DYNAMICS OF f 195 for e
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Sec. 2] THE DYNAMICS OF f 197 2.10.
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Sec. 3] PERTURBING ALMOST SEMIAMPLE
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Sec. 4] EQUIDISTRIBUTION 205 Proof.
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Sec. 4] EQUIDISTRIBUTION 207 Obviou
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Sec. 4] EQUIDISTRIBUTION 209 This y
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CHAPTER VI CONJECTURES ON THE ASYMP
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Sec. 1] A HEURISTIC 213 ii) Other e
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Sec. 2] THE CONJECTURE OF LANG 215
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Sec. 3] THE CONJECTURE OF BATYREV A
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Sec. 3] THE CONJECTURE OF BATYREV A
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Sec. 4] THE CONJECTURE OF MANIN 221
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Sec. 4] THE CONJECTURE OF MANIN 223
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Sec. 5] PEYRE’S CONSTANT 225 5.4.
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Sec. 5] PEYRE’S CONSTANT 227 Furt
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Sec. 5] PEYRE’S CONSTANT 229 iv.
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Sec. 5] PEYRE’S CONSTANT 231 5.24
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Sec. 5] PEYRE’S CONSTANT 233 When
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Sec. 5] PEYRE’S CONSTANT 235 Furt
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Sec. 5] PEYRE’S CONSTANT 237 = 2
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Sec. 5] PEYRE’S CONSTANT 239 The
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PART C NUMERICAL EXPERIMENTS
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244 POINTS OF BOUNDED HEIGHT ON THR
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CHAPTER VIII ON THE SMALLEST POINT
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Sec. 1] A COMPUTER EXPERIMENT 267 1
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Sec. 2] A NEGATIVE RESULT 269 For a
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Sec. 3] THE FUNDAMENTAL FINITENESS
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282 GENERAL CUBIC SURFACES [Chap. I
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302 ON THE SMALLEST POINT ON A DIAG
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É 310 ON THE SMALLEST POINT ON A D
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330 THE DIOPHANTINE EQUATION x 4 +
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350 NEW SUMS OF THREE CUBES [Chap.
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352 NEW SUMS OF THREE CUBES [Chap.
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354 APPENDIX end; # Compute the 27x
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356 APPENDIX 2. The list This is th
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358 APPENDIX 98 #U = 12 [ 2, 2 ], #
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360 APPENDIX 228 #U = 48 [ 2, 2 ],
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BIBLIOGRAPHY [A/B] [A/V] [Al] [AMD]
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BIBLIOGRAPHY 365 [B/P/T/Y] Beck, M.
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BIBLIOGRAPHY 367 [Ca/G] [C-L] [Cha]
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BIBLIOGRAPHY 369 [El] [EJ1] [EJ2] [
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BIBLIOGRAPHY 371 [GrBrIII] [Hab] [H
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BIBLIOGRAPHY 373 [J2] [J3] [J4] [J5
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BIBLIOGRAPHY 375 [McK] McKinnon, D.
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BIBLIOGRAPHY 377 (Santa Barbara, CA
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BIBLIOGRAPHY 379 [SGA4] [SGA4 1 2 ]
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BIBLIOGRAPHY 381 [S/U/Z] [Ta67] [Ta
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INDEX A Abbes, A. . . . . . . . . .
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INDEX 385 cocycle . . . . . . . . .
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INDEX 387 uniform . . . . . . . . .
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INDEX 389 Molien, T. . . . . . . .
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INDEX 391 algebraic. . . . . . . .
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