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| Hulsbergen W.J. — Conjectures in Arithmetic Algebraic Geometry: A Survey |
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| Предметный указатель |
Abel — Jacobi map 75 149 161 162 166
Abelian variety 24 169 186
Adams operations 82 94
Adequate equivalence 179
Admissible epimorphism 88
Admissible metric 144
Admissible modular unit 105
Admissible monomorphism 88
Arakelov divisor 144
Arithmetic progressions 9
Cap product 73 95
CHARACTER 19
Character, algebraic Hecke 209
Character, Chern 74 80 99
Character, Dirichlet 9
Character, Hecke 35 36 209
Chern class 80 96
Class number 7 28
Class number formula 11 12 107
Class Number Problem, Gauss 8 34
Classifying space 90
Cohomology, absolute Hodge 155 159
Cohomology, continuous etale 164
Cohomology, Deligne — Beilinson 62 83 128
Cohomology, motivic 55 56 83 101 104 109 128
Cohomology, parabolic motivic 219
Complex multiplication 33 130
Complex, absolute Hodge 103
Complex, Bloch — Suslin 102 109 110 112
Complex, cone 63
Complex, Deligne 62
Complex, Deligne — Beilinson 64
Complex, Goncharov 115
Complex, Hodge 157
Complex, homological 69
Complex, polarizable Hodge 157
Conductor 9 15 20 32 35 59 210
Cone construction 158
Conjecture(s), Beilinson 21 129 138 148 153 160
Conjecture(s), Beilinson — Bloch 123 164
Conjecture(s), Beilinson — Jannsen 161
Conjecture(s), Birch & Swinnerton-Dyer 40 56 128 148 203
Conjecture(s), Deligne 127
Conjecture(s), Fermat 5
Conjecture(s), Grothendieck 153 175 176 177 178
Conjecture(s), Hard Lefschetz 176
Conjecture(s), Hasse — Weil 33
Conjecture(s), Hodge 83 153 161
Conjecture(s), Mordell 48
Conjecture(s), Shafarevich 49
Conjecture(s), Shimura — Tanyama — Weil 46 204
Conjecture(s), Standard 33 59
Conjecture(s), Tate 49 137 153 166 188 199
Conjecture(s), Weil 29
Conjecture(s), Zagier 117
Critical point 125
Cup product 66
Current 68 144 154
Curve, elliptic 23 123 127 129
Curve, modular 8 39 140
Cusp 27 204
Cycle map 75 102 165 196
Cycle, absolute Hodge 169 174
Cycle, Hirzebruch — Zagier 139
Cycle, Hodge 169
de Rham conjugation 122
Dilogarithm 110 116 118
Discriminant 11 24 27
Eisenstein series 131
Eisenstein — Kronecker — Lerch 132
Endomorphism ring 26
Eta-function, Weierstrass 30
Euler product 9 59
Euler — Poincare characteristic 79
Exact category 88
Exact functor 88
Fibre functor 190
Filtration by coniveau 152
Filtration, gamma 95 149
Filtration, Hodge 53 54 189
Filtration, weight 53 103 155 186 189 195
Frobenius 17 57
Functional equation 9 11 20 32 58
Fundamental class 73 84 162 196 200
Good proper cover 197
Green's function 42
Groessencharacter 209
Group, arithmetic Chow 144
Group, Bloch 113 115 117
Group, Chow 75 136
Group, decomposition 17
Group, Galois 14
Group, generalized Chow 149
Group, homotopy 90
Group, ideal class 7 28
Group, inertia 18 58
Group, Mordell — Weil 40
Group, Tate — Shafarevich 43 50
Group, Weil — Chatelet 44
Hasse principle 43
Heegner point 8 205
Height 48
Hilbert modular surface 138
Hodge  -conjecture 154
Hodge structure 143
Hodge structure, mixed 155
Hodge structure, Q-rational 186
Homology, absolute Hodge 159
Homology, continuous  -adic 165
Homology, Deligne 69 70
Homology, motivic 56
Homotopy property 92
Intermediate Jacobian 65 162
Intersection number 41 145 147
Intersection, arithmetic 143
Isogeny 25
| Isogeny, dual 26
Isogeny, trivial 26
Karoubian envelope 88 171 180
Klein function 42
Kronecker dimension 198
L-function 58
L-function, Artin 17
L-function, Dirichlet 9
L-function, Hasse — Weil 30 50
L-function, Hecke 34 37 38 209
Lambda-ring 82
Langlands program 19
Linear variety 223
Metrized line bundle 144
Model, Neron 33
Model, regular 124
Model, regular arithmetic 143
Motive 21 53 54 63 125 172 174
Motive, 1-motive 53
Motive, Artin 128 186
Motive, Deligne 174
Motive, Dirichlet 215
Motive, effective 172 186
Motive, Lefschetz 125 172
Motive, mixed 53 104 157 191
Motive, Tate 54 168 173
Nerve 89
Node 27
Number field, cyclotomic 6
Number field, imaginary quadratic 6
Origin 23
Pairing 67
Pairing intersection 145
Period 41 211
Period, Beilinson 125
Period, Deligne 127
Plus-construction 85
Poincare duality 125
Poincare duality theory 71 82 128 153 189 193
Polylogarithm 110 111 116
Prime, irregular 7
Prime, regular 7
Principal triviality 73 196
Projection formula 92 179
Q-structure 106
Ramification index 26
Rank 105 173
Realization 125 168 186
Realization, -adic 168
Realization, Betti 168
Realization, crystalline 192
Realization, de Rham 168
Realization, geometric 90
Realization, integral mixed 189
Realization, pure 190
Reduction 27
Reduction, additive 27
Reduction, bad 27
Reduction, good 27
Reduction, multiplicative 27
Reduction, semi-stable 27
Reduction, unstable 27
Regulator 13 107 214
Regulator map 67 104 106 107 108 135 160 200
Regulator map, Beilinson 108 129
Regulator map, Borel 106
Regulator, Beilinson 109
Regulator, Borel 107
Regulator, elliptic 41
Riemann hypothesis 10
Root number 10 21
Sigma-function, Weierstrass 42
Spectral sequence, Hochschild — Serre 165
Spectral sequence, localization exact 120
Spectral sequence, Quillen 92
Support 152
Symbol, Jacobi 15
Symbol, tame 120
Tamagawa number 51
Tate module 187 188
Tate module, graded 188
Tate twist 125 168
Theorem, Artin's Reciprocity 19
Theorem, Atiyah — Singer Index 80
Theorem, Borel 107
Theorem, Borel — Beilinson 109
Theorem, Deligne 169
Theorem, Deninger 132
Theorem, Deuring 37 38 133
Theorem, Dirichlet's Unit 12 106 135
Theorem, Fermat's last 5 47
Theorem, Gillet-R-R 100 200
Theorem, Goncharov 116
Theorem, Gross — Zagier 3 4 203 206
Theorem, Grothendieck-R-R 63
Theorem, Hirzebruch-R-R 79
Theorem, Jannsen 163
Theorem, Kronecker — Weber 15
Theorem, Kummer 7
Theorem, Mordell — Weil 39 148
Theorem, Purity 93
Theorem, Ramakrishnan 141
Theorem, Zagier 113
Torsor 44 84
Trilogarithm 113 115
Volume 106 129
Weierstrass equation 24
Weierstrass equation, global minimal 27
Weierstrass equation, minimal 27
Weight 126 194 209
Z-function 28
Z-function, Weil 28
Zeta-function 28
Zeta-function, Dedekind 10
Zeta-function, Riemann 10 127
Zeta-function, Weierstrass 42
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