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| Shafarevich I.R., Danilov V.I., Iskovskih V.A. — Algebraic Geometry II : Cohomology of Algebraic Varieties. Algebraic Surfaces (Encyclopaedia of Mathematical Sciences) |
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| Предметный указатель |
Hopf, H. 88 239 241
Horroks, G. 46
Hypercohomology 22
Hyperelliptic surface 142
Illusie, L. 55 60
Image of a sheaf, direct 19 93
Image of a sheaf, inverse 19 93
Index of Del Pezzo surface 234
Inequality, Bogomolov — Miyaoka — Yau 292
Inequality, Castelnuovo — de Franchis 186
Inequality, Cauchy — Bunjakovski 85
Inequality, Noether 192
Inequality, Riemann — Roch 157
Infinitely near point 167
Inoue, M. 242
Intersection complete 135
Intersection number 151
Intersection number, local 151
Inverse image 19 93
Invertible sheaf 27
Irregularity 132
Jacobian 101
Jacobian family 206 241
Jacobian fibration 206
Kleiman, S.L. 163
Klein, F. 173 219
Kodaira dimension 133
Kodaira, K. 58 59 133 157 179 194 202 242
Koszul, J.-P. 2 29 32
Kummer surface 141
Kummer, E. 4 91 96 98—101 225
Kunneth, H. 2 5 17 29 32 59 110 141
l-adic cohomology 109
l-adic cohomology, Betti number 110
l-adic sheaf 109
l-adic sheaf, locally constant 109
l-adic sheaf-lisse 109
L-function 113
La Vallee Poussin, C. 117
Lattice 160
Laurent, P.A. 67
Lefschetz, S. 3 5 41 65—68 76 108 112 113 118 129 148 149 243 247
Lemma on an equivalent complex 42
Lemma on residues 50
Leray, J. 10 24 31 96
Lie, S. 223
Linear system 144
Linear system, complete 144
Linearly equivalent divisors 147
Liouville, J. 190
Lisse l-adic sheaf 109
Lobachevski, N.I. 219 225
Local equation 143
Local intersection number 151
Localization, strict 94
Locally acyclic morphism 107
Locally constant l-adic sheaf 105
Locally constant sheaf 18
Luroth, J. 129—131 231 247 248
Macaulay, F.S. 3 30 53
MacPherson, R. 65
Marked K3, surface 224
Mathieu, E.L. 226
Mayer, W. 24 73
Microweight 235
Minimal model 175
Minimal resolution 173
Minkowski, H. 92
Mixed sheaf 120
Miyaoka, Y. 191
Model, canonical 185
Model, Cayley — Klein 219
Model, minimal 175
Model, Neron 199
Model, relatively minimal 181
Model, smooth 174
Moishezon, E.G. 161 185
monodromy 74 108
Monoidal transformation 163
Moore, J. 3 63
Mordell, L.J. 6 197
Mori, S. 163 182
Morphism etale 87
Morphism of complexes 12
Morphism, Frobenius 56
Morphism, locally acyclic 107
Morse, M. 243
Mumford, D. 36 46 186 195
N-genus 133
Nakai, Y. 161 185
Nakano, S. 58
Nef 175
Neighborhood etale 94
Neron, A. 71 145 163
Noether, M. 20 130 132 156 170 179 192 212 219 233 249
Non-classical bi-elliptic surface 249
Non-classical Enriques surface 249
Nonsingular model 174
Normal bundle 154
Normal form Weiterstrass 197
Number of fixed points 65
Number, Betti k-th 63
Number, Betti k-th, l-adic 110
Number, Hodge 11 54
Number, Picard 145
Number, pure 115
Numerically effective class 175
Numerically effective divisor 175
Numerically equivalent divisors 156
Operator boundary 8 12
Operator, Cartier 57
Operator, coboundary 9 96
Order of an infinitely near point 167
Orientation sheaf 111
Path 106
Pencil Halphen 210
Pencil of curves 133
Period of a surface 222
Picard, E. 92 98 108 127 145—149 158 174 192 207 212 219 224 233 246 249
Plane fake 195
Plurigenus 133
Poincare, H. 6 7 50 59 65 71 111 130 148 151
Point of indeterminacy 167
Point, Du Val singular 173 203
Point, geometric 94
Point, infinitely near 167
Point, singular rational double 173
Polarized surface 215
Polynomial Frobenius characteristic 116
Polynomial, Hilbert 38
Positive half 159
Presheaf 17
Presheaf, etale 91
Primary Hopf surface 239
Primitive vector 224
Principal divisor 143
Principally polarized surface 215
Principle A-covering 97
Principle homogeneous space 206
Problem Luroth 230
Problem, rationality 133
Problem, Riemann 37 44
Problem, Riemann, general 44
Problem, Schottky 150
Proper transform of a curve 164
Pure number 115
Pure sheaf 115
Pure sheaf of weight r 115
Pure weight 72 115
Quadric 134
| Quadric fake 195
Quasi-algebraically closed field 82
Quasi-coherent sheaf 31
Quasi-elliptic fibration 245
Quasi-elliptic surface 245
Quasi-isomorphism 12
Quotient variety 136
Ramanujam, C.P. 157
Rational double point 173
Rational family 147
Rational ruled surface 138 231
Rationally equivalent divisors 147
Raynaud, M. 248
Rees, D. 41
Reflection 219
Regular sequence 30
Regular sheaf 36
Relatively minimal model 181
Relatively numerically effective divisor 181
Remrnert, R. 70
Representable functor 91
Resolution Godemant 21
Resolution minimal 173
Resolution of a complex 13
Resolution of a sheaf 10
Resolution-flabby 21
Restriction 17
Riemann problem 27 44
Riemann — Roch theorem for curves 44
Riemann, B. 2 3 6 27 40 44 70 85 116 127 132 140 156
Ring Chow 45
Ring, Cohen — Macaulay 30
Ring, Gauss 88
Ring, Hensel 94
Roch, G. 2 3 49 127 132 140 156
Rokhlin, V.A. 211
Root 204
Ruled surface 138 226 237
Sard, A. 137
Scheme, Cohen — Macaulay 30
Scheme, Hensel 94
Scheme, simply connected 88
Schottky, F. 150
Schwarzenberger, R.L.E. 47
Section global 17
Section global of a presheaf 17
Sections compatible 18
Seifert, H.K.L. 201
Semisimple sheaf 118
Sequence exact 11
Sequence of complexes 13
Sequence, Euler 35
Sequence, exponential 70 147
Sequence, Hodge — de Rham spectral 54
Sequence, Kummer 96
Sequence, Leray spectral 24 96
Sequence, Mayer — Vietoris 24
Sequence, regular 30
Sequence, spectral 14
Serre, J.-P. 2 6 28 50 58 67 86
Severi, F. 71 130 145 163 215
Sheaf 9 18 92
Sheaf of  -modules 109
Sheaf of weight r 115
Sheaf, abelian 19 95
Sheaf, acyclic 10
Sheaf, coherent 35
Sheaf, constant 18
Sheaf, constructible 103
Sheaf, dualizing 53
Sheaf, etale 92
Sheaf, flabby 20
Sheaf, flat 32
Sheaf, invertible 27
Sheaf, l-adic 109
Sheaf, lisse 109
Sheaf, locally constant 109
Sheaf, mixed 116
Sheaf, orientation 111
Sheaf, pure 115
Sheaf, pure of weight r 115
Sheaf, quasi-coherent 27
Sheaf, regular 36
Sheaf, semisimple 118
Signature of a surface 193
Simple singularity 173
Simplex singular 9
Simply connected scheme 88
Singular cohomology 63
Singular homology 63
Singular point rational double 173
Singular point, Du Val 173 203
Singular simplex 9
Singularity canonical 173
Singularity, Du Val 173
Singularity, Klein 173
Singularity, simple 173
Space principle homogeneous 206
Space, Teichmuller 190
Specialization 106 107
Spectral sequence 14
Spectral sequence, degenerates 55
Spectral sequence, Hodge — de Rham 54
Spectral sequence, Leray 24 96
Stable bundle 237
Stable fiber 224
Stable surface 237
Stalk of a sheaf 19 94
Stein factorization 137
Stein, K. 72 108 137 187—188
Stiefel, E. 221
Strict localization 94
Supersingular curve 84
Supersingular surface 247
Surface of general type 136 183
Surface of type VII 242
Surface, abelian 214
Surface, algebraic 131
Surface, bi-elliptic 142 183 217
Surface, bi-elliptic, classical 249
Surface, bi-elliptic, non-classical 249
Surface, complex 237
Surface, Del Pezzo 232
Surface, elliptic 139 196 241
Surface, Enriques 142 183 212
Surface, Enriques, classical 249
Surface, Enriques, non-classical 249
Surface, Fermat 146 153 248
Surface, Godeaux 136
Surface, Hopf 239
Surface, hyperelliptic 142
Surface, Inoue 242
Surface, K3 141 219
Surface, K3, marked 224
Surface, Kodaira 194 242
Surface, Kummer 141
Surface, polarized 215
Surface, principally polarized 245
Surface, quasi-elliptic 245
Surface, rational ruled 138 231
Surface, ruled 138 226 237
Surface, stable 237
Surface, supersingular 247
Surface, Veronese 232
Symplectic algebraic variety 226
Symplectic automorphism 226
System without fixed components 144
System, linear 144
Tate, J.T. 5 100 120
Teichmuller, O. 190
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