Conrad B. - Grothendieck duality and base charge :: Электронная библиотека попечительского совета мехмата МГУ

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Conrad B. - Grothendieck duality and base charge

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Название: Grothendieck duality and base charge

Автор: Conrad B.

Язык:

Рубрика: Математика/Алгебра/Алгебраическая геометрия/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2000

Количество страниц: 300

Добавлена в каталог: 05.05.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

$(\cdot)^{\Delta}$       128
$(\cdot)^{\flat}$       21 31
$(\cdot)^{\sharp}$       21 31 189 192
$(\cdot)^{\vee}$       6
$cone^{\bullet}$       8
$Coz(Z^{\bullet}, X)$       105
$C^{\bullet}[m]$       6
$c_{f, g}$       129 136
$D(X)_{fTd}$ , $D(X)_{fid}$       5
$D(\cdot)$       15 134
$D^+_{qc}(X)$       5
$D^b(X)_{Gor(Z^{\bullet})}$       115
      5
$D^{lb}(X)$       120
,       6
      137
$D_{K^{\bullet}}$ ,       134
$d_{\mathscr{K}^{\bullet}}$       125
$d_{\mathscr{R}^{\bullet}}$       123
$E(\mathscr{R}^{\bullet})$       126
      138 194
$E_{Z^{\bullet}}$       108
      133
$f^!_K^{\bullet}}$       134
      99
,       128
$f^{\Delta}$       136
      18
$K^{\bullet}(f, M)$       18
$K_{\bullet}(f)$       17
$n(\mathscr{R}^{\bullet}, \mathscr{R}'^{\bullet})$       124
      228
$Res_{X/Y}$       238
      271
$Tot^{\bigoplus}$       7
      97 133
      152 190
$t_{f, K^{\bullet}}$       193
$v_{u,f}$       138
$X^{\bullet}(\mathscr{R}^{\bullet})$       123
$Z^p / Z^{p + 1}$ -skeleton      106
$Z^{\bullet}[n]$       105
$\breve{C}^{\bullet}(\mathfrak{D}, \cdot)$       16
$\breve{H}^{\bullet}(X, \cdot)$       16
$\breve{H}^{\bullet}(\mathfrak{D}, \cdot)$       16
$\eta_i$       53
$\eta_{\mathscr{R}^{\bullet}}$       15
$\Gamma_f$       1 151
$\ksi_{f, g}$       192
$\mathrm{Icz}(Z^{\bullet}, X)$       115
$\mathrm{Tr}_{f, K^{\bullet}}$       146
$\mathrm{Tr}_{f, Z}$       252
$\mathscr{C}^{\bullet}(\mathfrak{D},\cdot)$       16
$\mathscr{E] xt^p_X}$ , $\mathrm{Ext}^p_X$       12
$\mathscr{F}^{\vee}$       6
$\mathscr{H}om^{\bullet}$       10
$\mathscr{L}(\mathscr{R}^{\bullet}, \mathscr{R}'^{\bullet})$       124
$\omega_F$       3 157
$\omega_{X/Y}$       6
$\omega_{Y/X}$       7
$\omera^{reg}$       226
$\overset{L}{\bigotimes}$       7
$\phi_{f, K^{\bullet}, K'^{\bullet}}$       135
$\psi_f$       128
$\psi_{f, g}$       78
$\psi_{i, \pi}$       77
$\rho_{f, K^{\bullet}}$       147
$\tau \le (\cdot)$       7
$\theta_f$       150
$\underline{H}^i_{Z^p / Z^{p + 1}}$       107
$\underline{\Gamma}_{Z^p / Z^{p + 1}}$       107
$\underline{\Gamma}_{Z^p})$       107
$\underline{\Omega}^1_{K /k}$       106
$\varphi_f$       128
$\varphi_{f, M}$       52
$\varphi_{J, M}$       52
$\zeta'_{f, g}$       29 31
Adjointness      133 177
Associated double complex      7
Associated filtration      123
Base change and $\mathscr{E}xt$ 's      154
Base change and CM maps      7
Base change and cohomology      217
Base change and higher direct images      1
Base change and injective hull      187
Base change and trace map      2 147 175
Base change explication      187
Base change residually stable      138
Berthelot      251
Bifunctor      12
Canonical truncation      7
CM map      7
Codimension      6
Codimension filtration      105
Codimension function and dualizing complexes      123
Codimension function and residual complexes      125
Cohomology and base change      217
Compatibilities of trace map and base change      2
Compatibilities, fundamental local isomorphism      55
Compatibilities, projective trace      36
Complex Cohen - Macaulay      110
Complex Gorenstein      110
Composition and $(\cdot)^{\sharp}$       31
Composition and CM maps      7
Composition and dualizing sheaves      208
Composition and lci maps      6
Composition and trace map      147
Composition of $\zeta'_{f, g}$       29
Conductor      226
Cone $^{\bullet}$       8
Cousin complex      105
D(X)      5
Dimension, finite injective      5
Dimension, finite Tor      5

Dimension, pointwise finite injective      120
Dimension, pure relative      6
Dimension, relative      6
Distinguished triangle      8
Double complex, associated      7
Double complex, canonical truncations of      7
Double duality      13
Dual Kozsul complex      17
Duality morphism      150
Duality on Jacobians      283
Duality theorem and cup products      222
Duality theorem over arbitrary base      221
Duality theorem, residual complex version      133
Dualizing complex for modules      118
Dualizing complex for sheaves      118
Dualizing complex, algebra vs. geometry      119
Dualizing complex, uniqueness      124
Dualizing functor      124
Dualizing sheaf and arbitrary bases      214
Dualizing sheaf, definition      157
Dualizing sheaf, depth      229
Dualizing sheaf, properties of      157
Explication of $E_{Z^{\bullet}}$ for curves      109 114
Explication of base change      177
Explication of local cohomology      111
Explication of projective trace      34
Fiber products and trace map      215
Finite trace      31
Fundamental local isomorphism      52 63
Gabber      120 121 287
General notation      5
Generator of $H^n(P^n_Z, \omega)$       33
Grotendieck-Serre duality theorem      150
Grothendieck duality and Jacobians      287
Injective hull      27
Jacobians and duality      283
Jacobians and Picard scheme      284
Koszul complex      17
Koszul complex and cohomology with supports      252
Koszul isomorphism      161
Koszul sign conventions      63 77
lci map      6
Local complete intersection map      6
Locally bounded cohomology      120
Map, Cohen - Macaulay      7
Map, double duality      13
Map, local complete intersection      6
Map, residually stable      109 132
Map, S-embeddable      99
Map, transversally regular      7
Mapping cone      8
Nagata      118
Normal bundle      7
Notation      5
Ordinary double point      226
Pointwise dualizing and $E(\cdot)$       126
Pointwise dualizing and double duality      121
Pointwise dualizing, equivalence of weak/strong      127
Pointwise dualizing, weak and strong      120
Projection formula      26
Projective trace over C      33
Projective trace, definition      34
Projective trace, explication      34 101
Projective trace, independent of coordinates      33
Projective trace, signs      35
Pure codimension      7
Pure relative dimension      6
q      126
Regular differentials      217
Regular differentials and dualizing sheaf      230
Regular differentials, coherence      227
Regular differentials, definition      226
Regular scheme of infinite dimension      118
Relative dimension      6
Relative dualizing sheaf      3
Relative dualizing sheaf, definition      157
Residual complex      3 125
Residual complex, uniqueness      134
Residue isomorphism      273
Residue symbol and cohomology with supports      251
Residue symbol, definition      238
Residue symbol, properties of      239
Residue theorem      272
Rosenlicht      217
Semistable curves      3
Sign conventions      7
Skeleton      106
Spectral sequence for $E_{Z^{\bullet}}$       108
Spectral sequence, Cech to derived functor      16
Tate      99 239
Theory of residues      271
Trace map      28
Trace map and base change      2 175
Trace map and Berthelot's thesis      252
Trace map and fiber products      215
Trace map and residue symbol      254
Trace map and residues      148 272
Trace map and top differentials      96
Trace map and universality      224
Trace map as map of complexes      272
Trace map for finite morphisms      31
Trace map for projective space      34
Trace map over arbitrary base      174
Trace map, CM case via dualizing complexes      172
Trace map, properties of      173
Trace map, properties via residual complexes      149
Translation $\bigotimes$ , $\mathscr{H}om^{\bullet}$       11
Translation and double duality map      15
Translation and total derived functors      8
Transversally regular map      7
Trf      31
Triple duality      15
TRP      34
Variance properties of $(\cdot)^!$       139
Verdier      2

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