Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Hartshorne R. — Algebraic Geometry
Hartshorne R. — Algebraic Geometry



Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter

Название: Algebraic Geometry

Автор: Hartshorne R.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 8th

Год издания: 1997

Количество страниц: 496

Добавлена в каталог: 12.06.2007

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
Complete intersection, local      184—186 245 428
Complete intersection, normal $\Rightarrow$ projectively normal      188
Complete intersection, not a local      8
Complete intersection, set-theoretic      14 224
Complete intersection, strict      14 188
Complete intersection, surface      409 423 437
Complete linear system      157 159 170 294 see
Complete linear system, dimension of      see "Riemann — Roch problem"
Complete variety      105 106 136
Complete variety, any variety is contained in a      168
Complete variety, nonprojective      171 443
Completion of a local ring      33—35 187 275 278 420
Completion of a ring with respect to an ideal      193
Completion, along a subscheme      86 190 194 279
Complex analytic space      96 252 291 417
Complex analytic space, associated to a scheme over $\mathbb{C}$      439 440
Complex analytic space, cohomology of      439
Complex analytic space, definition      438
Complex cohomology, $H^{'}(\cdot,\mathbb{C})$      435
Complex in an abelian category      203 282
Complex manifold      249 289 435 438 454
Complex manifold, when is it algebraic?      441—445
Complex multiplication      330—332 334 337—339
Complex numbers, $\mathbb{C}$      106 317 326—332 367 391 414 417 420 422 432 see
Condition $S_2$ of Serre      185
Condition ($\dag$)      160
Condition (*)      130 426
Condition (ML) of Mittag-Leffler      191 192 200 278 290
Conductor      331 340
Cone      12 13 38 49 266
Cone, blowing up vertex of      37 374 381
Cone, divisor class group of      146
Cone, ruling on      134
Configuration of 27 lines      404
conic      7 20 30 183 312
Conic, as a real form of $P^1$      107
Conic, determined by 5 points      397
Conic, linear system of      170 396—398
Conic, Pascal’s theorem      407
Conical double point      36
Connected      see also "Zariski’s Main Theorem"
Connected, ample divisor is      244
Connected, complete intersection is      188 231
Connected, fibre is      279 280
Connected, total transform of a point is      410
Connected, when Spec A is      82
Connectedness Principle      190 281
Conormal sheaf, $\mathscr{I}/\mathscr{I}^2$      182 245 246 see
Conormal sheaf, $\mathscr{I}/\mathscr{I}^2$ of a nonsingular subvariety      178
Conormal sheaf, $\mathscr{I}/\mathscr{I}^2$ of a twisted cubic curve      385
Conormal sheaf, $\mathscr{I}/\mathscr{I}^2$, relation to differentials      175 176
Constant sheaf      62 65
Constant sheaf is flasque      67
Constant sheaf of function field      69 112 145
Constructible set      94 266
Continuous family      see "Family"
Contractible curve      417 419 420
Contraction of exceptional curves      410 414—416
Contraction problem      417 419
Coordinates affine      1
Coordinates homogeneous      9
Correspondence on a curve      451
Cotangent complex      185
Counting constants      401
Courant, R.      326
Cousin problem      69
Cremona transformation      30 see
Crystalline cohomology      452
Cubic curve      see also "Cuspidal cubic curve" "Elliptic "Nodal "Nonsingular "Twisted
Cubic curve, linear system of      399
Cubic curve, through 8 points determines a 9th      400
Cubic surface in $P^3$      356 395—409
Cubic surface in $P^3$, 27 lines on      402—406
Cubic surface in $P^3$, ample divisors on      405
Cubic surface in $P^3$, as $P^2$ with 6 points blown up      400
Cubic surface in $P^3$, canonical sheaf of      184 401
Cubic surface in $P^3$, curves on      401 406—409
Cubic surface in $P^3$, Picard group of      136 401
Cubic threefold is not rational      184
Cup-product      453 454 456
Curve      105 136 see "Nonsingular "Plane
Curve in $P^3$, classification of      349—355 354 409
Curve of degree 2      315 353 see
Curve of degree 3      159 315 353 see
Curve of degree 4      159 309 315 342 353 355 407 see
Curve of degree 5      348 353 355
Curve of degree 6      342 350 353
Curve of degree 7      353 406
Curve of degree 8      346 409
Curve of degree 9      354 355 409
Curve of genus 0      297 345 see
Curve of genus 1      see "Elliptic curve"
Curve of genus 10      354 409
Curve of genus 11      355 409
Curve of genus 2      298 304 309 315 341 347 355 see
Curve of genus 3      342 346—349
Curve of genus 4      342 346 348
Curve of genus 5      346 348 353 406
Curve of genus 6      348 409
Curve on a cubic surface      401 406—409
Curve on a quadric surface      see "Quadric surface curves
Curve over $\mathbb{R}$      4
Curve over a finite field      339 368 458 see
Curve, affine      4 7 8 47 297 298 385
Curve, ample divisor on      156 307 308 372
Curve, any two homeomorphic      31
Curve, behavior under monoidal transformation      388—394
Curve, birational to a plane curve with nodes      314
Curve, can be embedded in $P^3$      310
Curve, classification of      56 341 345—347
Curve, complete $\Rightarrow$ projective      44 136 232 294
Curve, complete intersection      38 342 346 352 355
Curve, definition for Ch. II      105
Curve, definition for Ch. IV      294
Curve, definition for Ch. V      357
Curve, divisors on      129 136—140 294
Curve, dual      54 304
Curve, elliptic quartic      38 315 353
Curve, equivalence of singularities      393
Curve, existence for all $g \geq 0$      294 385 394
Curve, genus bounded by degree      315 351 407 408
Curve, genus of      see "Genus"
Curve, genus of normalization      393
Curve, invariant $\delta_P$ of a singularity      298 393—395
Curve, locally free sheaf on      369 370 372 376 378 379 384 385
Curve, product of      44 338 367 368
Curve, ruled surface over      see "Ruled surface"
Curve, singular, Picard group of      148
Curve, singularities      35 36 38 386 393 see "Node" "Tacnode"
Curve, strange      311 316
Curve, trigonal      345
Curve, zeta function of      458
Cusp      36 37 39 298 305 392 394 see
Cusp, higher order      37
Cuspidal cubic curve      21 171 276
Cuspidal cubic curve as a projection      22 266
Cuspidal cubic curve is not normal      23
Cuspidal cubic curve is rational      30
Cuspidal cubic curve, blown up      31 392
Cuspidal cubic curve, divisor class group of      142 148
CYCLE      425
Cycle of dimension zero      437
Cycle, associated to a closed subscheme      425
Cycle, cohomology class of      435 454
Cycle, homological equivalence of      435 444
Cycle, rational equivalence of      425 426 436 454
d-uple embedding      see "-Uple embedding"
Decomposable locally free sheaf      376 378 383 384
Dedekind domain      40 41 58 132
Deformation      89 90 188 267 see
Deformation theory      265
Degree of a coherent sheaf on a curve      149 372
Degree of a divisor on a curve      137 142 294
Degree of a divisor on a projective variety      132 146
Degree of a finite morphism of curves      137 298
Degree of a hypersurface      52
Degree of a linear system on a curve      159
Degree of a plane curve      4 54
Degree of a projective variety      47 52 57 250 309 366
Degree of a zero-cycle      426 428
Degree of an intersection      53
Del Pezzo surface      401 408
Deligne, Pierre      217 249 289 317 347 449 452
Demazure, M.      452
Density of a set of primes      334 339
Depth      184 237 243 264
Depth, cohomological interpretation of      217
Derivation      172 189
Derivative      31 300
Derived functor      201—206
Derived functor, cohomology      207 211 439 see
Derived functor, Ext      233
Derived functor, higher direct images, $R^{'}f_*$      250 see
Derived functor, local cohomology modules $H^{'}_\alpha(M)$      217
Determinant of a coherent sheaf      149 306
Deuring, M.      331 334
Diagonal      24 48
Diagonal closed $\Leftrightarrow$ scheme separated      96
Diagonal homomorphism      96 173
Diagonal morphism      96 99 107 175 427
Diagonal reduction to the      427 428
Diagonal self-intersection of      367 368 437 450
Diagonalized bilinear form      364
Diagram-chasing      203
Difference polynomial      49
Differentiable structures on a sphere      421
Differential form      see "Differentials"
Differential geometry      311 438 445
Differentials      57 172—190 see
Differentials of a polynomial ring      173
Differentials on $A^n$      176
Differentials on $P^n$      176
Differentials on a product      187
Differentials, Kaehler      172—175
Differentials, module free $\Leftrightarrow$ regular local ring      174
Differentials, residues of      247
Differentials, sheaf locally free $\Leftrightarrow$ nonsingular variety      177 178 276
Differentials, sheaf of      175—177 219 247 268 295 300
Differentials, sheaf of g-forms, $\Omega^q_{X/k}$      190 247 249
Dilatation      386
Dimension of $A^n$ is n      6
Dimension of $P^n$ is n      12
Dimension of a linear system      157 295 357 424 see
Dimension of a projective variety      10 57
Dimension of a ring      6 86
Dimension of a scheme      86 87 94
Dimension of a special linear system      341 see
Dimension of a topological space      5 8 208
Dimension of fibres of a morphism      95 256 257 269
Dimension of intersections      48
Dimension, equal to transcendence degree      6
Dimension, relative      95
Diophantine equation      335 340
Direct image, cycle      425
Direct image, divisor      306 436
Direct image, sheaf, $f_* \mathscr{F}$      65 109 115 123 124 250 see
Direct limit, $lim_\rightarrow$      66 72 109 208 209
Direct product      82 109 see
Direct sum, $\oplus$      66 109
Dirichlet’s minimum principle      441
Dirichlet’s Theorem      335 339
Discrete valuation ring      40 42 45 107 108 258 325 see "Valuation
Discrete valuation ring of a prime divisor      130
Discrete valuation ring, center of on a curve      137
Discrete valuation ring, set of      see "Abstract nonsingular curve"
Discrete valuation ring, spectrum of      74 93 95 124
Disjoint union      80
Divisor      57 129—149 see "Divisor "Invertible "Weil
Divisor class group, Cl(X)      131 145 see
Divisor class group, Cl(X) is zero $\Leftrightarrow$ UFD      131
Divisor class group, Cl(X) of $P^n$      132
Divisor class group, Cl(X) of a cone      146
Divisor class group, Cl(X) of a cubic surface      136
Divisor class group, Cl(X) of a curve      139 140 142 148
Divisor class group, Cl(X) of a Dedekind domain      132
Divisor class group, Cl(X) of a product      134 146
Divisor class group, Cl(X) of a quadric hypersurface      147
Divisor class group, Cl(X) of a quadric surface      133 135
Divisor class group, Cl(X) of a variety in $P^n$      146
Divisor class group, Cl(X), exact sequence of an open subset      133
Divisor of a rational function      130 131 294
Divisor of an elliptic function      327
Divisor on a curve      129 136—140 294
Divisor on a surface      135 357
Divisor with normal crossings      391
Divisor, algebraic equivalence of      140 367 369
Divisor, associated to an invertible sheaf      144 145 157 294 425
Divisor, cohomology class of      367 418
Divisor, degree of      132 137 142 146 294
Divisor, effective      130
Divisor, group of all, Div(X)      130 357
Divisor, inverse image of, f*      135 137 299
Divisor, linear equivalence of      57 131 141 294 367 425 426
Divisor, locally principal      142
Divisor, numerical equivalence of      364 367 369
Divisor, prime      130
Divisor, principal      131 132 138 141
Divisor, special      296
Dominant morphism      23 81 91 137
Dominant rational map      24 26
Domination (of local rings)      40 98
Double line      36 90
Double point      36 37 38 393 see "Tacnode"
Double point, ordinary      see "Node"
Doubly periodic function      327
Dual curve      54 304
Dual locally free sheaf, $\mathscr{E}$      123 143 235 430
Dual numbers, ring of      80 265 267 324
Dual projective space, $(P^n)^*$      54 55 130 304 316
Duality      239—249 see
Duality for a finite flat morphism      239 306
Dualizing sheaf      239 241 242 246 249 298
Dwork, Bernard, M.      451
Dynkin diagram      420
Effaceable functor      206
Effective divisor      130 145 157 294 363
Elements de Geometrie Algebrique (EGA)      89 100 462
Elimination theory      35 39
Elliptic curve      46 56 293 316—340 see
Elliptic curve in characteristic p      317 332—335
Elliptic curve over $\mathbb{C}$      326—332
Elliptic curve with j = 0      320 321 331 334
Elliptic curve with j = 1728      320 321 331 334
Elliptic curve, as a plane cubic curve      309 319
Elliptic curve, automorphisms of      318 321 336
Elliptic curve, canonical divisor      297
Elliptic curve, classified by j-invariant      317 345
Elliptic curve, complex multiplication on      330—332 334 337—339
Elliptic curve, defined over $\mathbb{Q}$      335
Elliptic curve, dual of a morphism      337
Elliptic curve, group structure      297 316 321—323 see law
Elliptic curve, group structure over $\mathbb{C}$      329
Elliptic curve, Hasse invariant of      317 322 332—335 339 340
Elliptic curve, isogeny of      338
Elliptic curve, j-invariant      316—321 331 336 345 347
Elliptic curve, Jacobian variety of      316 323—326 338
Elliptic curve, locally free sheaves on      378
Elliptic curve, Picard group of      297 323
Elliptic curve, points of order n      322 323 329 337 340
Elliptic curve, points of order p      339
1 2 3 4 5 6 7
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2024
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте