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Milne J.S. Ч Etale Cohomology. (PMS-33), Vol. 33
Milne J.S. Ч Etale Cohomology. (PMS-33), Vol. 33



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Ќазвание: Etale Cohomology. (PMS-33), Vol. 33

јвтор: Milne J.S.

язык: en

–убрика: ћатематика/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

√од издани€: 1980

 оличество страниц: 344

ƒобавлена в каталог: 23.05.2008

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ѕредметный указатель
AB3 $\cdots$ 5*      306
Action of sheaf      120
Acyclic morphism      232
Acyclic object      83 86
Affine morphism      4
Algebra; Azumaya      136Ч154
Algebra; central separable      141
Algebra; central simple      137;
Algebra; maximal etale sub-      139
Algebra; opposite      136
Algebraic space      116 122 157Ч159
Arithmetic genus      217
Artin character      186Ч187
Artin neighborhood      117
Artin Ч Schreier sequence      67
Artin Ч Schreier theory      127Ч128
Associated sheaf      57 60Ч62
Associated sheaf, stalk of      63
Azumaya algebra      see algebra Azumaya
Bertini's theorem      209
Betti numbers      166 205
Bilinear      79
Branch locus      24
Branch locus, purity of      24
Brauer group      136Ч154
Brauer group of Henselian ring      138 148;
Brauer group of local ring      136Ч140
Brauer group of regular scheme      149
Brauer group of scheme      140Ч154;
Brauer group of smooth variety      149
Brauer group, cohomological      136 147
Brauer Ч Severi schemes      134Ч135
cartesian      144
Cartier divisor      73
Cartier dual      130
Cartier operator      129
Castelnuovo's criterion      217Ч219
Cayley Ч HamiHon polynomial      139
Char (X)      230
Chern class      204
Chern class, etale      271 -76
Chern class, total      273
Chern polynomial      273
Chern roots      274
Chow ring CH.(X)      274
Cofiltered category      305
Cofinal      306
Cohomoiogica! dimension      220Ч222 246 253Ч256 283
Cohomoiogica! dimension of curves      183- 84
Cohomology      84
Cohomology and inverse limits      88Ч89 119
Cohomology and Picard scheme      130Ч133
Cohomology of blowing-up      203 229Ч230 247
Cohomology of complete intersection      246
Cohomology of curves      175Ч197
Cohomology of direct limits      113
Cohomology of smooth group schemes      114Ч117
Cohomology of surfaces      197Ч219
Cohomology with compact support      93Ч94 229Ч230
Cohomology with support on Z      91 -94
Cohomology, Amitsur      97
Cohomology, Cech      95Ч105
Cohomology, Cech and derived      99 100 103 104Ч105
Cohomology, complex and etale      117Ч119 164 229 241
Cohomology, elate and flat      114Ч117
Cohomology, flat and Zariski      113Ч114
Cohomology, fmiteness of      222Ч227 232 244 246
Cohomology, invariance      224 231
Cohomology, nonabelian      122
Cohomology, of $\mathbb{G}_m$      106Ч110
Cohomology, of $\mathbb{P}_m$      245Ч246 270
Complex, bounded      310
Complex, double      309
Complex, perfect      263
Complex, total      309;
Conductor      188
Connected category      305
Construclible function      161
Cospecialization map      77 162 230
Covering of Picard type      126
Covering, E-      47
Covering, geometric      126;
Covering, infinitesimal      128Ч129
Covering, refinement of      95
Cycle map      268Ч271 275Ч276
Cycle, algebraic      268
Cycle, prime      268
Derived functor      82 310Ч312
Descent theory      16Ч20 158
Different      24 25
Direct image of presheaf      56Ч59
Direct image of sheaf      68Ч77
Direct image, higher      85 88
Direct image, higher with compact support      227Ч230
Discriminant      20 24
Elementary fibration      117
Etale closure      44
Etale morphism      3 22Ч35
Etale morphism of algebraic spaces      157
Etale morphism to normal scheme      29;
Etale morphism, standard      26 28
Etale morphism, topological in variance of      30
Etale neighborhood      36 38
Euler Ч Poincare characteristic      166 190Ч195 202 204Ч205
Exact      16 122
Excellent scheme      4
Excision      92
Extension by zero      76 78 81
Faithfully flat morphism      10Ч20
Faithfully flat morphism is strict epimorphism      16
Fibered category      144
Filtered category      305
Finite morphism      4Ч7
Flat morphism      3 7Ч20 31
Flat morphism is open      14
Formally etale      30
Formally smooth      30
Formally unramified      30
Frobenius elements, arithmetic      292;
Frobenius elements, geometric      292
Frobenius endomorphism      109 185
Fundamental class      247Ч252
Fundamental group      39Ч45
Fundamental group of curve      42Ч43 194
Fundamental group, tame      42 193Ч195 208
Fundamental group, true      45
Galois covering      40 43Ч44 49 99
Genencally locally constant      77
Generators, family of      83
Gerbe      144
Grodement resolution      90 171
Group scheme      52
Group scheme, Cartier dual      130
Gysin map      244 250 253 283Ч284
Gysin sequence      243Ч244 250Ч252
Hard Lefschetz theorem      207
Hasse Ч Witt matrix      128
Hensehzation      36
Henselian ring      3 32Ч39 41 239Ч240
Hensrl's lemma      32 35
Hilbert's theorem      90 124
Homotopic      167 257
Hypercohomology      310Ч312
Injective      82
Internal horn      79
Inverse image of presheaf      56Ч59
Inverse image of sheaf      68Ч76
Inverse image, in fibered category      144
Inverse image, preserves injectives      87
Inverse image, twisted      285
Jacobian criterion      23
Jacobson scheme      65 90
Kazdan Ч Margulis theorem      211
Kuenneth formula      256Ч268 271Ч272
Kummer covering      41 42
Kummer sequence      66
Kummer theory      125Ч127
L      197
L-series      195Ч197 289Ч303
L-series, Artin      293 195Ч197
Lefschete trace formula      287Ч288 292 295 298
Lefschete trace formula for curves      185 195 205
Lefschetz pencils      197Ч199
Lefschetz theorems      207
Lefschetz theory, global      207Ч214
Lefschetz theory, local      199Ч207
Limits      304Ч306
Lisse      264
Map of degree r      167
Mapping cone      174
Mayer Ч Vietoris sequence      110
Milnor number      193
monodromy      207Ч211
Mordell Ч Weil theorem      133
Morphism of presheaves      48
Morphism of sheaves      50
Morphism of sites      56
Morphism of smooth S-pairs      241
Morphism, acyclic      232Ч241
Morphism, base change      223
Morphism, compactifiabie      227 229
Morphism, continuous      56
Morphism, Frobenius      290Ч291
Morphism, locally acyclic      232Ч241
Morphism, universally acyclic      232Ч241
Morphism, universally injective      25
Neron minimal model      192Ч193
Neron Ч Severi group      131Ч132 284
Neron Ч Severi group, finite, generation of      215Ч216
Normalization      4
Numerical equivalence      215 284
Ogg Ч Safarevic Ч Grothendieck formula      190Ч195
Ogg Ч Tate formula      193
Order      150
Pairing, canonical of Exts      167
Pairing, cup product      171Ч174
Perfect complex      263
Picard scheme      130Ч133
Picard Ч Lefechetz formula      206Ч207
Plurigenus      217
Poincare duality      276Ч286
Poincare duality, curves      175Ч185
Poincare duality, local      181Ч182
Presheaf      47
Presheaf, basically bounded      57
Presheaf, category of      48
Presheaf, constant      48
Presheaf, free      79;
Presheaf, section of      47
Presheaf, separated      49
Principal homogeneous space      120Ч133
Projection formula, cycles      268
Projection formula, sheaves      250
Proper base change theorem      72 89 222Ч227 260
Pseudofiltered      304- 305
Purity, cohomological      24!-47
Purity, of Azumaya algebras      153
Purity, of branch locus      24
Quasi-finite morphism      4Ч7
Quasi-isomorphism      310
Quaso-seciion      20
Riemann existence theorem      40 118
Riemann hypothesis      286
S, $S_1$, $S_2$      49
Separable, algebra      20
Separable, polynomial      22
Sheaf      49
Sheaf of $\mathbb{Q}_1$-vector spaces      164
Sheaf with finite stalks      155Ч156
Sheaf, 1-adic      163
Sheaf, category of      63
Sheaf, constant      65 156
Sheaf, constructive      155Ч156 160Ч164
Sheaf, etale over discrete valuation ring      75
Sheaf, etale over field      53
Sheaf, finite      155 -56
Sheaf, flabby      87Ч89 91 101Ч103 113
Sheaf, flasque      87
Sheaf, free      79
Sheaf, generieally locally constant      77
Sheaf, induced      90
Sheaf, locally constant      155 156 162
Sheaf, locally constructibie      160Ч164 225
Sheaf, locally free      563Ч564
Sheaf, Morsion      220
Sheaf, of $\mathbb{Z}_1$-modules      163
Sheaf, pseudo-coherent      80 95
Sheaf, represented by algebraic space      159
Sheaf, Tate twist of      163
Sheaf, torsion      220
Sheaf, twisted-constant      65 155 164
Sieve      55
Similar      137 141
Site      47 112Ч113
Skolem Ч Noether theorem      138 141
Smooth base change theorem      230Ч241
Smooth morphism      30 31 39
Smooth S-pair      241
Smooth specialization      230
Spectral sequence      307Ч309
Spectral sequence for closed subschemes      94
Spectral sequence with closed support      241;
Spectral sequence, Cech to derived      100Ч101
Spectral sequence, Hochschild Ч Serre      105
Spectral sequence, Leray      89 228;
Spectral sequence, local-global for Exts      91
Splits      139
STACK      144
Stalk      60 63Ч65 80
Stalk of direct image      70 71;
Stalk of higher direct image      88
Stalk of inverse image      69
Stein factorization      72
Strict epimorphism      16
Strict Henselization      38
Strictly coprime      32
Strictly Henselian (local)      3 38 41
Support of sheaf      75
Swan character      188
Tamely ramified      41Ч42
Tensor product, of complexes      257;
Tensor product, of sheaves      79
topology      47 54
Topology, comparison of      150Ч119
Tor-dimension      263
Torsor      120Ч133
Trace map      168Ч171 276 284
Trace map, noncommutative      301
Twisted forms      134
Universally injective morphism      25
Unrarmtied morphism      21 -32 36
Vanishing cycle      200
Vanishing cycle, canonical      205
Vanishing cycle, conjugacy of      208
Vanishing cycle, space of      207
Weak Lefschetz theorem      253Ч256
Weierstrass minimal equation      193
Weil Conjectures      286
Weil divisor      73
Zariski's main theorem      6
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