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Shafarevich I.R., Shokurov V.V., Danilov V.I. — Algebraic geometry I: Algebraic curves algebraic. Manifolds and schemes
Shafarevich I.R., Shokurov V.V., Danilov V.I. — Algebraic geometry I: Algebraic curves algebraic. Manifolds and schemes

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Название: Algebraic geometry I: Algebraic curves algebraic. Manifolds and schemes

Авторы: Shafarevich I.R., Shokurov V.V., Danilov V.I.

Язык: en

Рубрика: Математика/Алгебра/Алгебраическая геометрия/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1994

Количество страниц: 307

Добавлена в каталог: 12.03.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\sigma$-Process      214
Abel mapping      157
Abel mapping, normalized      157
Abel, N.H.      29 41 73 139 154—158 161
Abelian variety      140 197
Abelian variety, principally polarized      148
Abstract vector      286
Adjunction      214
Affine line      285
Algebra of finite type      177
Algebra of finite type, flat      290
Algebra of finite type, integral      177
Algebraic group      139 196
Algebraic group, affine      180
Algebraic scheme      202 291
ample      262
Antiderivative      49
Artin, E.      197 293
Artin, M.      223
Arzela, C.      43
Atlas      188
Atlas, analytic      17
Atlas, complex      17
Atlas, equivalent      188
Automorphic form      74
Automorphic function      74
Automorphism      19 91
Babbage, D.W.      131
Base divisor      119
Base extension      193
Base point      119
Beltrami, E.      48
Belyi, G.V.      87
Bertini theorems      245 249
Bertini, E.      245 249
Betti, E.      41 230
Bezout theorem      109 111 251 273
Bezout, E.      109—111 133 251 252 255 273 281
Birationally equivalent      99
Bitangent, simple      137
Blow-up      214 216
Blowing-up      214
Bonnet, O.      73
Branch      see also Ramification
Branch locus      31
Branch point      106
Brill, A.      123
Bundle      see also Sheaf
Bundle, normal      207 208
Bundle, normal-cone      208
Bundle, tangent      208
Bundle, tautological      198
Bundle, universal      198
Bundle, vector      197
Bundle, vector, locally trivial      198
Bundle, vector, trivial      198
Canonical class      55
Canonical curve      117
Canonical divisor      54 108
Canonical linear system      120
Canonical map      81 117
Canonical model      85
Canonical polaxization divisor      160
Canonical region      67
Canonical sheaf      241
Cartesian square      193
Cartier, P.      255—257 260 267
Castelnuovo curve      126
Castelnuovo theorem      275
Castelnuovo, G.      89 126 127 129 275
Cauchy, A-L.      45
Cech, E.      84
Chart, affine      17 188
Chart, compatible      188
Chart, complex      16
Chart, complex, analytic      17
Chasles, M.      280
Chern, S.S.      147 270
Chevalley constructibility theorem      219
Chevalley semi-continuity theorem      228
Chevalley, C.      219 228
Chow ring      271 273
Chow variety      244 278
Chow's Lemma      86 145 223 224
Chow, W-L.      86 127 145 146 172 223 224 244 271—274 276 278
Clebsch, R.F.A.      89 135 137 138
Clifford's theorem      124 125
Clifford, W.K.      124 125
Coarse moduli space      78 117
Coclosure      58
Codimension      236
Cohen — Macaulay property      239
Cohen — Seidenberg theorems      221
Cohen, I.S.      221 238 239 243 273 290
Coherent sheaf      201
Collineation      195
Component, irreducible      211
Cone      190
Cone, normal      208
Cone, tangent      206
conic      21 94
Conormal set      246
Coordinates, affine      17
Coordinates, complex      16
Coordinates, conformal      48
Coordinates, homogeneous      187
Coordinates, isothermal      48
Coordinates, real      22
Correlation isomorphism      92
Correspondence      213
Cousin, P.      57
Covering, etale      233
Covering, n-sheeted      30
Covering, universal      30
Covering, unramified      30
Criterion for ampleness, Nakai — Moishezon      262
Criterion for separatedness      192
Criterion for simplicity, Jacobian      237 238
Cubic      94
Cubic curve      55
Cubic in Weierstrass normal form      88 151
Cubic plane      94
Curve, algebraic      94
Curve, algebraic plane, complex      20
Curve, algebraic plane, real      22
Curve, algebraic, complex      104
Curve, algebraic, irreducible      34
Curve, canonical      117
Curve, Castelnuovo      126
Curve, dual      136
Curve, elliptic      140
Curve, elliptic, complex      20
Curve, extremal      126
Curve, Fermat      21
Curve, hyperelliptic      101
Curve, linearly normal      120
Curve, m-normal      128
Curve, nondegenerate      120
Curve, nonsingular      20
Curve, plane      94
Curve, projectively normal      128
Curve, rational normal      121 195
Curve, space      94
Curve, strange      95
Curve, supersingular      149
Curve, trigonal      124
Cusp      134
Cycle, algebraic      266
Cycle, effective      266
Cycle, Schubert      269
Danilov, V.I.      89 100 111
de Rham cohomology groups      47
de Rham theorem      51
Degeneration      207
Degree of a curve      109
Degree of a cycle      268 273
Degree of a divisor      28 107 259
Degree of a hypersurface      93
Degree of a linear system      119
Degree of a map      29 99 233
Degree of a variety      147 250
Degree, local      234
Descartes' folium      35
Descartes, R.      35
Desingularization      34 100
Development      37
Differential      45 208
Differential, closed      47
Differential, coclosed      58
Differential, cohomologically trivial      47
Differential, differentiable      45
Differential, exact      47
Differential, harmonic      58
Differential, holomorphic      52
Differential, meromorphic      54
Differential, of a function      102 204
Differential, of the first (second, third) kind      57
Differential, rational      102
Differential, regular      103
Differential, relative      293
Differentiation      44 102
Differentiation, universal      102
DIMENSION      93 226
Dimension of a chart      20
Dimension of a linear system      265
Dimension of a manifold      20
Dimension of a scheme      289
Dimension of a variety at a point      95 226
Dimension, real      22
Direct image of a cycle      266
Direct image of a sheaf      201
Direct sum of vector bundles      198
Dirichlet's principle      65
Dirichlet, P.G.L.      65
Divisor      27 107 244
Divisor of a fibre      28 107
Divisor of a function      28 107
Divisor of a meromorphic differential      54
Divisor of poles      28 108
Divisor of zeros      28 108
Divisor, ample      262
Divisor, base      119
Divisor, canonical      54 108
Divisor, Cartier      255
Divisor, effective      27 107 256
Divisor, finite      28
Divisor, group      27 107
Divisor, hyperplane section      109
Divisor, hypersurface section      109
Divisor, linearly equivalent      29 108 257
Divisor, local equation      255
Divisor, polarization      142 147 148
Divisor, polarization, canonical      160
Divisor, polarization, principal      148
Divisor, prime      108
Divisor, principal      28 108
Divisor, principally polarized      148
Divisor, special      123
Divisor, special, exceptional      123
Divisor, special, ordinary      123
Divisor, Weil      256
Domain of definition of a rational map      212
Domain of regularity      97 98
Dominant map      98 213
Double point      134
Double point, ordinary      134
Dual curve      136
Duality, Poincare      44
Duality, Serre      84
Elliptic curve      140
Elliptic curve, complex      20
Elliptic points      76
Elliptic transformation      76
Enriques, F.      131 226 247
Equivalence, algebraic, of cycles      267
Equivalence, linear, of divisors      29 108 257
Equivalence, rational, of cycles      267
Etale covering      233
Etale morphism      232 293
Euler characteristic      39
Euler, L.      39 56 64 72
Faltings, G.      87
Family of curves, algebraic      117
Family of cycles      267
Family of divisors      157 260
Family of divisors, algebraic      157
Family of Riemann surfaces      77
Fano, G.      132 265
Fermat curve      21
Fermat, P. de      14 21
Fibre of a morphism      182 192 288
Fibre product      193
Finite divisor      28
Finite mapping      29 107
Finite morphism      217 289
Form, automorphic      74
Form, differential 1-      45 208
Form, initial      206
Fourier, J.      145 146
Frobenius mapping      101 182
Frobenius, F.G.      101—103 106 142—144 182 197 204
Fubini, G.      48 69
Fubini-Study metric      48
Fuchsian group      75
Fulton, W.      248 249 251 271
Function, algebraic      21
Function, automorphic      74
Function, holomorphic      19
Function, meromorphic      23
Function, primitive      49
Function, rational      86 90 96 212
Function, regular      91 175 178
Function, regular, at a point      185
Fundamental class of a divisor      142
Fundamental group      30
Galois mapping      32 101
Galois, E.      32 38 39 101 103 233 281 286
Gauss mapping      247
Gauss, C.F.      20 24 36 49 68 69 73 76 211 247
Gaussian plane      20 68
Gel'fand, I.M.      177
Genus of a curve      112
Genus, arithmetic      84 255
Genus, geometric      52 53 135 241
Genus, topological, of a Riemann surface      38
Geometrization      291
Gluing      189
Graph of a morphism      181 193
Graph of a rational map      213
Grassmann variety      190
Grassmann, H.      94 190 195 196 198 207 208 244 245 258 259 266
Green, G.      50 52 57
Green, M.      132
Grothendieck, A.      225 230 240 294
Group of cycle classes      267
Group, additive      197
Group, multiplicative      197
Gysin homomorphism      272
Gysin, W.      270 272 273
Halphen, G.H.      127 128
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