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| Shafarevich I.R., Shokurov V.V., Danilov V.I. — Algebraic geometry I: Algebraic curves algebraic. Manifolds and schemes |
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| Предметный указатель |
Hansen, J. 248 249
Harmonic differential 58
Harmonic projection 61
Harnack, A. 22 281
Hartogs, F. 185 240 243
Hartshorne, ft. 266
Hilbert basis theorem 176
Hilbert Index Theorem 275
Hilbert nullstellensatz 177 178
Hilbert polynomial 254
Hilbert, D. 59 60 65 67 91 105 127 130 176—180 185 205 212 218 222 254 278 283 284 289 292
Hirzebruch, F. 147
Hodge decomposition theorem 62
Hodge, W. 61 62 160 184 275
Homogeneous equations 191
Hopf, H. 64
Hugo, V. 16
Hull, linear 191
Hurwitz formulae 39 40 55 56 111 114
Hurwitz, A. 39—41 55 56 64 74 79 82 84 111 113 114 116 117 137
Hyperelliptic curve 101
Hyperelliptic involution 33 101
Hyperelliptic mapping 33
Hyperelliptic projection 101
Hyperelliptic Riemann surface 33
Hyperplane 90 191
Hyperplane, section divisor 109
Hypersurface 89 176 227
Hypersurface, section divisor 109
Ideal of a curve 130
Immersion, closed 192 287
Immersion, open 287
Index of ramification 26 111
Index of speciality 112
Inflection point 138
Inflection point, ordinary 138
Initial form 206
integral 177
Integral, closure 177
Intersection, complete 132 237
Intersection, correct 238
Intersection, number 273
Intersection, product of loops 43
Intersection, proper 238
Intersection, scheme-theoretic 130
Intersection, simple 251
Intersection, theory 244
Intersection, transversal 238
Invariant, absolute 76 151
Inverse image see also Pull-back
Inverse image of a cycle class 273
Inverse image of a divisor 257
Inverse image of a sheaf 201
Involution, hyperelliptic 33 101
Irregularity 84 112
Isogeny 148
Isomorphism 19 91
Jacobi's identity 154
Jacobi, C.G.J. 154—156 160
Jacobian criterion for simplicity 237 238
Jacobian of a curve 156 157 259
Jacobian of a Riemann surface 144
Kaehler metric 47
Kaehler, E. 47 48 69
Kampen, E.R. van 38
Kerns 50
Klein, F. 9 65 67 280
Kodaira, K. 140 147
Koebe, P. 65 67
Kronecker, L. 280
Kulikov, V.S. 160
Kurchanov, P.V. 160
Laplace, P.S. 9 58 61
Laurent, P. 23 25 49 56 88 98 152
Lebesgue, H. 60 96
Lefschetz pencil 265
Lefschetz principle 105
Lefschetz, S. 105 106 113 140 146 230 245 265
Leibniz, G.W. 44 49
Lie group, complex 19
Lie, S. 19 68 70 71 73 140 144
Linear equivalence 29 108 257
Linearly normal 120 265
Liouville, J. 24 66
Lobachevskil, N.I. 11 48 68 71
Local equation of a divisor 255
Local parameter 24 96
Loops 30
Lueroth's theorem 114
Lueroth, J. 114 115
Macaulay, F.S. 238 239 243 273 290
MacPherson, R. 251
Manifold, complex 17
Manifold, complex-analytic 17
Manifold, differentiate 22
Manifold, orientable 35
Map, mapping see also Morphism
Map, mapping, Abel 157
Map, mapping, associated with a divisor 80 114
Map, mapping, associated with a divisor, a free linear system 120
Map, mapping, birational 99 213
Map, mapping, canonical 81 117
Map, mapping, differentiate 22
Map, mapping, discrete 23
Map, mapping, dominant 98 213
Map, mapping, finite 29 107
Map, mapping, Frobenius 101
Map, mapping, Galois 32 101
Map, mapping, Gauss 247
Map, mapping, holomorphic 19
Map, mapping, hyperelliptic 33
Map, mapping, inseparable 100
Map, mapping, linear fractional 19
Map, mapping, linearly normal 120
Map, mapping, nondegenerate 120
Map, mapping, normal 32
Map, mapping, Pluecker 196
Map, mapping, pluricanonical 81 115
Map, mapping, polar 136
Map, mapping, projection 19 92
Map, mapping, proper 29
Map, mapping, purely inseparable 100
Map, mapping, rational 98 212
Map, mapping, regular 91
Map, mapping, Segre 195
Map, mapping, separable 100
Map, mapping, unramified 30
Map, mapping, Veronese 92
Mazur, S. 177
Metric, Euclidean 48
Metric, Kaehler 47
Metric, Pubini-Study 48
Metric, Riemannian 48
Mittag — Leffler's problems 25 56 57 84
Mittag-Leffler, G.M. 25 26 56 57 81 84 113
Model, canonical 85
Model, canonical, of a field 34 97
Model, canonical, pluricanonical 85
Model, canonical, projective 85
Modular figure 71 72
Moduli space, coarse 78 117
Moebius, A.F. 36 68
monodromy 22 40 41
Monodromy, group 41
Mordell, L. 87
Morphism see also Map
Morphism of affine varieties 179
Morphism of algebraic varieties 191
Morphism of presheaves 199
Morphism of schemes 287
| Morphism, affine 203 289
Morphism, closed 218
Morphism, etale 232 293
Morphism, etale, at a point 232
Morphism, finite 217 289
Morphism, flat 290
Morphism, Frobenius 182
Morphism, locally free 234
Morphism, open 220
Morphism, Pluecker 196
Morphism, projective 204
Morphism, proper 221 290
Morphism, quasi-finite 216
Morphism, smooth 207 293
Morphism, unramified 231
Morphism, unramified, at a point 230
Morse, M. 265
MoTshezon, B.G. 223 262
Multiplicity 96 253
Multiplicity of a mapping 26 96 106
Multiplicity of ramification 106
Mumford, D. 122
Nagata Theorem 222
Nagata, M. 222 247
Nakai — Moishezon criterion for ampleness 262
Nakai, Y. 262
Nakayama's lemma 218
Nakayama, T. 218 230—232 234 236
Neumann, C. 65
Newton, I. 49
Noether's property 90
Noether, E. 90 116 211
Noether, M. 123 127 129 131
Noetherian scheme 289
normal 219
Normal linearly 120 265
Normal mapping 32
Normal polygon 71
Normal projectively 128 266
Normal, m- 128
Normalization 220 289
Normalized basis 83
Normalized matrix 143
Nullstellensatz 177 178
Order (of vanishing) of a rational function 96
Order of a meromorphic differential 54
Order of a meromorphic function 26
Order of a rational differential 104
Order of an elliptic point 76
Order of ramification 106
Pascal's theorem 110
Pascal, B. 110 115 264
Pencil 265
Period homomorphism 51
Period matrix 142
Periods of a closed 1-form 51
Periods, A- 51
Periods, B- 51
Petri's analysis 131
Petri, K. 131
Picard group 156 157 201
Picard, C.E. 76 156—158 201 258 259
Pluecker embedding 196
Pluecker formula 137
Pluecker, J. 89 137 138 195 196 259 262 266
Poincare duality 44
Poincare models 69
Poincare series 74
Poincare, H. 42 44 48 51 65 67 69 71 72 74 75 142 158 159
Point of indeterminacy 240
Point, base 119
Point, branch 106
Point, cuspidal 134
Point, elliptic 76
Point, fundamental 240
Point, generic 94 285
Point, nonsingular 207
Point, regular 207
Point, singular 207
Point, smooth 207
Polar mapping 136
Polarization 142
Polarization divisor 142 147 148
Polarization divisor, canonical 160
Polarization, principal 142
Pole 23
Pole of multiplicity n 98
Pole of order n 26 98 104
Presheaf 199
primitive 49
Principal divisor 28 108
Principal part of a function 25
Principally polarized abelian variety 148
Principally polarized divisor 148
Principle of conservation of number 234
Principle of continuity 234
Principle of counting constants 227
Product of complex manifolds 18
Product of varieties 90
Product, cup- 51
Product, fibre 193
Projection, harmonic 61
Projection, hyperelliptic 101
Projection, linear 195
Projection, map 19 92
Projectiveness 85
Projectiveness of Grassmann varieties 196
Projectiveness of the product of projective varieties 196
Pull-back 19 91
Push-forward 266
Quadric 94
Quartic 94
Quotient bundle, universal 198
Quotient curve 101
Quotient variety 91
Rado, T. 37
Ramification see also Branch locus
Ramification divisor 28 111
Ramification index 26 111
Ramification multiplicity 106
Ramification point 26 106
Ramification point, simple 106
Ramification, tame 111
Ramification, weak 111
Ramification, wild 111
Rank of a free sheaf 201
Rational normal curve 121 195
Reduction to the diagonal 183
Regular region 49
Regular sequence 239
Residue 57
Resolution of singularities 100 242
Rham, G. de 46 47 51 52 61 62 85
Riemann sphere 5 20 68
Riemann surface 6 20
Riemann surface of a curve 20
Riemann surface of an algebraic function 21 32
Riemann surface, arithmetic 87
Riemann surface, associated 104
Riemann surface, associated with a curve 20
Riemann surface, hyperelliptic 33
Riemann surface, rational 34 64
Riemann theta divisor 146 150
Riemann theta function 145 151
Riemann Theta Relation 154
Riemann — Roch formula 82 113
Riemann's bilineax relations 53 54
Riemann's existence theorem 10 62
Riemann, B. 5—162 172
Riemannian metric 48
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