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Hulsbergen W.J. — Conjectures in Arithmetic Algebraic Geometry: A Survey
Hulsbergen W.J. — Conjectures in Arithmetic Algebraic Geometry: A Survey

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Название: Conjectures in Arithmetic Algebraic Geometry: A Survey

Автор: Hulsbergen W.J.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1992

Количество страниц: 236

Добавлена в каталог: 05.04.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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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 $\mathcal{D}$-conjecture      154
Hodge structure      143
Hodge structure, mixed      155
Hodge structure, Q-rational      186
Homology, absolute Hodge      159
Homology, continuous $\ell$-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, $\ell$-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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