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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 |
Roch, G. 62 79 82 84 85 106 113 117 120 123—126 129 160 161
Ruled join 248
Ruled surface 124
Sard, A. 43
Scheme 287
Scheme of finite type 289
Scheme, affine 285
Scheme, algebraic 202 291
Scheme, algebraic, affine 180
Scheme, geometrically irreducible 292
Scheme, geometrically normal 292
Scheme, geometrically reduced 292
Scheme, geometrically regular 292
Scheme, irreducible 288
Scheme, Noetherian 289
Scheme, normal 289
Scheme, reduced 288
Scheme, regular 290
Scheme, relative 288
Scheme, S- 288
Scheme, smooth 292
Schubert cycle 269
Schubert variety 269
Schubert, H. 269 274 277 278
Schwarz, H.A. 65 73 78
Segre class 269 270
Segre embedding 195
Segre, B. 269 270
Segre, C. 90 195 196 247 258 262
Seidenberg, A. 221
Seifert, H. 38
Series, linear 119
Serre duality 84
Serre's finiteness theorem 224
Serre, J-P. 84 186 224
Severi, F. 135
Shafarevich, I.R. 5
Shakespeare, W. 16
Sheaf 199
Sheaf of differential forms 208 210
Sheaf of modules 200
Sheaf of relative differentials 293
Sheaf, canonical 241
Sheaf, coherent 201
Sheaf, conormal 208
Sheaf, cotangent 208
Sheaf, free 201
Sheaf, invertible 201
Sheaf, locally free 201
Sheaf, quasi-coherent 201
Sheaf, structure 285 287
Sheaf, tautological 202
Sheaf, very ample 262
Siegel matrix 143
Siegel matrix, modular group 144
Siegel matrix, upper half-plane 144
Siegel, C.L. 143 144
Space of meromorphic functions (associated with a divisor) 80
Space, affine 175 178 286
Space, irreducible 211
Space, noetherian 211
Space, of rational differentials (associated with a divisor) 112
Space, of rational functions (associated with a divisor) 112
Space, projective 187
Space, ringed 200
Space, tangent 44 205
Space, tangent, embedded 94
Speciality index 112
Specialization 267 272 285
Spectrum, prime 282
Spectrum, projective 204
Stalk 202
Stein factorization 225
Stein, K. 225 247 248
Steiner, J. 127
Stokes, G.G. 141
Strange curve 95
Structure, complex-analytic 17
Structure, sheaf 285 287
Study, E. 48 69
Submanifold 18
Submanifold, open 18
Subscheme 180 202
Subscheme, open 287
Subsets, algebraic 175 178
Subsets, basic open 185
Subvariety 90 188
Subvariety, exceptional 214 241
Subvariety, linear 191
Supersingular curve 149
Support of a cycle 266
Support of a divisor 27 108 256
surface 22 94
Surface, ruled 124
Surface, Veronese 195
Symmetric power 95
Symmetric product 95
System of algebraic equations 175
System, differentiable coordinate 22
System, exceptional special 123
System, linear 119 244
System, linear, (base-point) free 119 261
System, linear, canonical 120
System, linear, special 123
System, linear, very ample 262
System, linear, without base points 119 261
| System, linear,-complete 119 261
System, ordinary special 123
System, pluricanonical 120
Tangent cone 206
Tangent space 44 205
Tangent space, embedded 94
Tautological bundle 198
Taylor, B. 83 96 98 287
Teichmiiller, O. 78
Theorem of Bertini 249
Theorem of Bezout 109 111 251 273
Theorem of Castelnuovo 275
Theorem of Chevalley, constructibility 219
Theorem of Chevalley, semi-continuity 228
Theorem of Chow 86 145 224
Theorem of Clifford 124 125
Theorem of de Rham 51
Theorem of Hilbert, basis 176
Theorem of Hilbert, Nullstellensatz 177 178
Theorem of Hodge, index 275
Theorem of Lueroth 114
Theorem of Nagata 222
Theorem of Pascal 110
Theorem of Riemann, existence 62
Theorem of Serre, finiteness 224
Theorem of van der Waerden 241
Theorem of Zariski, connectedness 225
Theorem of Zariski, main 240
Theta characteristic 149
Theta characteristic of a curve 160
Theta characteristic, even 150
Theta characteristic, nondegenerate 161
Theta characteristic, odd 150
Theta constants 151
Theta divisor, Riemann 146 150
Theta function with characteristics 150
Theta function with characteristics, Riemann 145 151
Theta relation, Riemann 154
Torelli, R. 160
Torus, complex 18
Torus, embedding 189
Torus, polarized 142
Torus, polarized, isomorphic 144
Torus, principally polarized 142
Transformation, elliptic 76
triangle 36
Triangulation 36
Trigonal curve 124
Type, elliptic 67 69
Type, hyperbolic 67 71
Type, parabolic 67 69
Unibranch 221
Unit disk 20 68 69
Unit, punctured 20
Universal bundle 198
Universal covering 30
Universal differentiation 102
Universal linear section 245
Universal quotient bundle 198
Universal subbundle 198
Upper half-plane 20 68 69
Upper half-plane, Siegel 144
Van der Waerden's theorem 241
Variety of secants 232
Variety, abelian 140 197
Variety, abelian, principally polarized 148
Variety, affine 90 178
Variety, algebraic 90 188
Variety, algebraic, affine 178
Variety, algebraic, irreducible 93 211
Variety, algebraic, quasi-affine 186
Variety, algebraic, rational 99
Variety, Chow 244 278
Variety, complete 221
Variety, dual 246
Variety, factorial 236
Variety, Grassmann 190
Variety, Jacobian 259
Variety, linear 191
Variety, linearly normal 120 265
Variety, nonsingular 95
Variety, normal 219
Variety, Picard 156 157
Variety, projective 89 190
Variety, projectively normal 128 266
Variety, quasi-projective 90
Variety, Schubert 269
Variety, separated 192
Variety, simply connected 233
Variety, smooth 207
Variety, Veronese 92
Veronese mapping 92
Veronese surface 195
Veronese variety 92
Veronese, G. 80 92 117 121 131 195 252 262 263 266 276 277 279
Waerden, B.L. van der 241
Weierstrass P-function 24
Weierstrass, K. 24 26 65 88 151 152 162
Weil, A. 65 174 256 266 269 275
Weyl's lemma 61
Weyl, H. 61 179
Wirtinger, W. 45
Zak, F.A. 250 266
Zariski connectedness theorem 225
Zariski main theorem 240
Zariski topology 90 183 284
Zariski, O. 89—91 93 94 113 122 183—186 188 205 210 211 221 225 230 240 247 284
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