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Freitag E., Kiehl R. — Etale cohomology and the Weil conjecture
Freitag E., Kiehl R. — Etale cohomology and the Weil conjecture

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Название: Etale cohomology and the Weil conjecture

Авторы: Freitag E., Kiehl R.

Язык: en

Рубрика: Математика/Алгебра/Алгебраическая геометрия/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1988

Количество страниц: 343

Добавлена в каталог: 06.05.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
A-R category      120 122
A-R l-adic sheaf      123
Abhyankars Lemma      287
Acyclicity theorem      70
Admissible triangle      291
Associated bilinear form of a quadratic form      175 181
Base change, homomorphism      60
Base change, mapping      61
Base change, theorem for the direct image with proper support      91
Canonical flabby sheaf      23 129
Cartan’s lemma      23
Cech, cohomology groups      22
Cech, complex      22
Characteristic polynomial      157 159
Classification of nondegenerate double points      184
Classification of ordinary double points      187
Cohomological dimension of affine algebraic schemes      103
Cohomological dimension of the functor f!      94
Cohomological functor      293
Cohomology of a pencil of quadrics      208
Cohomology of quadrics      200 202 203
Cohomology with support on a closed subset      47
Cohomology, classes of algebraic cycles      150
Cohomology, groups with compact support      91
Compactifiable morphism      86
Compactification      86
Comparison of topological and algebraic variation      225 230 231
Comparison, theorem for algebraic and analytic variation      230
Conjecture of Hodge type      281
Conjecture of Lefschetz type      280
Constant sheaf      40
Constructible, sheaf      40
Constructible, sheaf of abelian groups      43
Construction of Henselian rings      16
Cover transformation group      283
Covering space      282
Cusp form      277
D(X. tor)      86
De La Vallee Poussin      274
Derived category      296
Derived direct image of a sheaf      27
Descent data      306
Direct image in the sense of Verdier      27
Direct image of a l-adic sheaf      128
Direct image of a sheaf      27
Direct image with proper support      90
Duality mapping      140
Effective descent data      307
Equivalence relation on sheaves      42
Et(X) for a scheme X      19
Etale, cohomology groups      13 20
Etale, covering      20
Etale, homomorphism      7
Etale, line bundle      24
Etale, morphism of schemes      18
Etale, neighbourhood      26
Etale, sheaf $M_{ct}$ associated to a quasicoherent sheaf M      20
Etale, sheaf $\mathcal{O}^*_{x.ct}$      21
Etale, sheaf $\mu_n$      21
Exact sequence for an open subscheme      92
Exactness of a sequence of sheaves      12
Excellent local rings      17
Ext(, )      51
Extension of a sheaf by zero      81 84
Finite homomorphism      29
Finite ring homomorphism      15
Finitely generated local homomorphism      7
Finitely generated morphism of schemes      18
Finiteness theorem      95
Finiteness theorem for l-adic sheaves      128
Fixed point formula of Grothendieck and Nielsen — Wecken      257 164
Flabby sheaf      23
Flatness      9
Frobenius-homomorphism      161 163
Frobenius-morphism      162
Functor of sections with support in a closed subscheme      106
Fundamental character of the monodromy group      198
Fundamental estimate      259 264
Fundamental group      282
Fundamental lemma for the variation      209 232 245
G-sheaf      166 193
Galois cohomology      14
Galois covering space      283
Generators in the category of sheaves      13
Geometric Frobenius-homomorphism      163
Geometric point      25
Global Picard — Lefschetz formulas      251 253
Godement resolution      129
hadamard      274
Hard Lefschetz-theorem      274
Hecke operators      277
Henselian rings      15
Henselization      17
Hensel’ lemma      15
Injectives in the category of sheaves      13
Invariant characterization of the vanishing cycle      210
Inverse image of a sheaf      27 28
Kazhdan-Margulis      250
Kloostermann sum      276
Kummer sequence      21
Kunneth formulas      99
l-adic sheaf      122
l-adic system      120
Lefschetz, embedding      177 179 180
Lefschetz, fixed point formula      157
Lefschetz, fixed point formula for the Frobenius-morphism      168
Lefschetz, pencils      175
Leray spectral sequence      28
Local etale homomorphism      8
Local smooth homomorphism      68
Locally constant l-adic sheaf      124 286
Locally constant sheaf      40 285
Locally noetherian category      44
Locally representable sheaf      35
Mapping cone      292
Mittag — Lefller condition      119
Mittag — Lemer — Artin — Rees condition      119
Mixed of weights $\leq n$      274
Moduli scheme      278
Monodromy, formalism      187
Monodromy, group      198
Monodromy, theory      175
Morphism of schemes      18
Neron model      279
Noetherian sheaf      43
Nondegenerate double point of a morphism      184
Nondegenerate quadratic form      175 181
Nondegenerately quadratically singular local homomorphism      183
Nonsingular quadratic form      176
Ordinary double point      176
Pencil of quadrics      205
Perfect complex      101 158
Permanence properties of etale morphisms      19
Permanence properties of etale ring extensions      10
Picard — Lefschetz formulas      187 199 247
Poincare duality      134 144
Point-wise pure      273
Presheaf on Et(X)      19
Principal congruence subgroup      276
Projective, limit of a projective system of schemes      49
Projective, system of schemes      48 49
Proper base change theorem      61
Purely inseparable morphism      33
Purity theorem      107
Quadratic form      175 181
Quadric      201
Quasifinite homomorphism      7 15
Quasifinite morphism of schemes      18
Quasiisomorphism      294
Quotient sheaf      12 13
Ramanujan conjecture      275 278
Ramification group      287
Rankin trick      264
Relative trace mapping      134 139
Representable sheaf      35
Reptesentablity lemma      34
Riemann existence theorem      286
Segre embedding      177
Sheaf of rational functions      54
Sheaf on Et(X)      19
Sheaf, $\mathcal{F}^{ab}$ of abelian groups generated by a sheaf of sets      13
Sheaf, generated by a presheaf      12
Sheaves of $\mathbb{Q}_t$-vector spaces      131
Shift operator      292
Smooth algebra      68
Smooth base change theorem      70
Smooth homomorphism of strict Henelian rings      68
Smooth morphism of schemes      69
Spezialization, homomorphism      96
Spezialization, mapping      189 190
Stalk of a l-adic sheaf      124
Stalk of an etate presheaf      26
Standard conjectures on algebraic cycles      280
Strict Henselian rings      15
Strict Henselization      17
Strict local ring at a geometric point      26
Structure mapping      61
Support of a sheaf      26
Surjective mapping of sheaves      41
Tame fundamental group      289
Tamely ramified      288
Topological variation      219
Torsion sheaf      43
Trace mapping      133—135 139
Trace of an endomorphism of complexes      159
Trace of an endomorphism of G-moduls      160
Trace of an endomorphism of projective modules      157
Transcendental formalism of monodromy      210
Triple category      191 194
True endomorphism of an admissible triangle      159 160
Tsen’s theorem      14 15
Type S      137
Universal elliptic curve      278
Unramified homomorphism      7
Vanishing cycle      195 199
Variation      196 213 225 241
Weak Lefschetz theorem      106
Yoneda Ext      52
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