|
|
 |
| Авторизация |
|
|
|
| Поиск по указателям |
|
|
|
|
|
|
|
 |
|
|
|
| Knutson D. — Algebraic Spaces |
|
|
|
| Предметный указатель |
"open subspace where X is a scheme" 131
Affine etale covering 103
Affine formal scheme 211
Affine image of a map 124
Algebraic space 92
Algebraic space affine 104
Algebraic space formal 215
Algebraic space integral 144
Algebraic space irreducible 127
Algebraic space is a scheme 104
Algebraic space locally noetherian 105
Algebraic space locally separated 97
Algebraic space n-dimensional 106
Algebraic space noetherian 105
Algebraic space nonsingular 106
Algebraic space normal 106
Algebraic space quasicompact 105
Algebraic space reduced 106
Algebraic space separated 97
Algebrizable X-module 247
Ample invertible sheaf 142
atom 133
Axiom  30
Axioms  , , , 36
Blowing up 19
Chevalley's Theorem 169
Chow's Lemma 190
Closed subcategory 32
Closure, geometric 124
Closure, scheme-theoretic 48
Coherent sheaf 41
Cohomology of sheaves (quasicoherent) 117
Completeness Lemma 155
Completion of a ring along an ideal 210
Completion of an algebraic space along a closed subspace 216
Components of a space 145
Connectedness Theorem 233
Covering map 30
Covering, affine etale 103
Covering, representable etale 92
Curve 236
Decomposition into components 145
Dense, geometrically 124
Dense, topologically 125
Descent theory for modules 54
Descent theory over adic rings 207
Descent, effective 32
Devissage 173
Diagonal component 6
Dimension, codimension of a point 236
Divisor, Cartier 149
Divisor, Weil 240
Effective descent 32 34
Equivalence relation, "finitely presented" 83
Equivalence relation, categorical 72
Equivalence relation, effective 72
Equivalence relation, induced 72
Equivalence relation, on algebraic spaces 113
Equivalence relation, quotient of 72
Etale covering,representable 92
Etale topology, affine formal schemes 211
Etale topology, algebraic spaces 102
Etale topology, schemes 59
Extension Lemma 157
Filtration, I-good 220
Finiteness theorem 202
Fiter of a quasicoherent sheaf at a point 148
Fixed point locus 186
Flat topology, affine schemes 58
Flat topology, schemes 58
Formal algebraic space 215
Formal scheme, affine 211
Formal scheme, as formal algebraic space 216
Function field 148
Function field sheaf 148
General definitions 215
Generic point 144
Generic rank of a coherent sheaf 150
Geometric closure 124
Geometric quotient of - 178
Geometrically dense 124
Gluing data 5
Graded R-module 219
Graded ring 218
Grothendieck Existence Theorem 247
Grothendieck topology 29
Group actions on an algebraic space 177
Group actions, free action 178
Hilbert basis theorem 108
Hilbert scheme 2
Holomorphic Functions Theorem 227
Ideal of definition 217
Immersion 42
Immersion, closed 42
Immersion, open 42
Inductive property of algebraic spaces 128
Invertible sheaf 42
Jacobian condition 59
Local construction 33
Local construction, effective 33
Local on the domain 32
Local ringed space 39
Locally separated 97
Map of adic rings 205
Map of affine formal schemes 211
Map of affine formal schemes, closed imbedding 211
Map of affine formal schemes, imbedding 211
Map of affine formal schemes, open imbedding 211
Map of algebraic spaces 92
Map of algebraic spaces, affine 108
Map of algebraic spaces, birational 144
Map of algebraic spaces, closed 133
Map of algebraic spaces, closed immersion 108
Map of algebraic spaces, covering map 101
Map of algebraic spaces, etale 101
Map of algebraic spaces, etale surjective 101
Map of algebraic spaces, faithfuvlly flat 107
Map of algebraic spaces, finite 139
Map of algebraic spaces, flat 107
Map of algebraic spaces, immersion 108
Map of algebraic spaces, locally of finite presentation 107
Map of algebraic spaces, locally of finite type 107
Map of algebraic spaces, locally quasifinite 107
Map of algebraic spaces, locally separates 109
Map of algebraic spaces, of finite presentation 107
Map of algebraic spaces, of finite type 107
Map of algebraic spaces, open immersion 108
Map of algebraic spaces, projective 141
Map of algebraic spaces, quasiaffine 108
Map of algebraic spaces, quasicompact 105
Map of algebraic spaces, quasifinite 107
Map of algebraic spaces, quasiprojective 141
Map of algebraic spaces, quasiseparated 109
Map of algebraic spaces, reduced closed immersion 109
Map of algebraic spaces, section of 110
Map of algebraic spaces, separated 109
Map of algebraic spaces, Stein 123
Map of algebraic spaces, surjective 107
Map of algebraic spaces, universally closed 133
Map of algebraic spaces, universally open 107
Map of formal algebraic spaces, general definitions 215
| Map of formal algebraic spaces, proper 218
Map of local ringed spaces 39
Map of rings, faithfully flat 53
Map of rings, flat 53
Map of schemes 40
Map of schemes, affine 47
Map of schemes, bijective 43
Map of schemes, closed 43
Map of schemes, etale 59
Map of schemes, faithfully flat (fflat) 56
Map of schemes, finite 50
Map of schemes, flat 56
Map of schemes, formally etale 61
Map of schemes, infective 43
Map of schemes, locally of finite presentation 46
Map of schemes, locally of finite type 46
Map of schemes, of finite presentation 50
Map of schemes, of finite type 50
Map of schemes, open 43
Map of schemes, quasiaffine 47
Map of schemes, quasicompact 45
Map of schemes, quasifinite 47
Map of schemes, quasiseparated 46
Map of schemes, radiciel 43
Map of schemes, separated 44
Map of schemes, surjective 43
Map of schemes, union of Zariski open sets 44
Map of schemes, universally bijective 43
Map of schemes, universally closed 43
Map of schemes, universally infective 43
Map of schemes, universally open 43
Map of schemes, unramified 61
Map of schemes, Z-open 44
Map, adic 205
Map, faithfully flat 207
Map, flat 207
Map, formal etale covering 208
Map, formally etale 208
Map, of finite type 207
Mittag-Leffler condition 221
Modification 19
Module over radic ring, complete Horn set 206
Module over radic ring, complete tensor product 206
Module over radic ring, continuous 205
Moisezon Space 23
Noetherian Induction 128
Picard group 150
POINTS 129
Points, equivalence of 129
Points, generic 144
Points, geometric 129
Points, residue field at 129
Points, schemelike 131
Presheaf 30
Prime spectrum 38
Projective n-space over an algebraic space 141
Quasicoherent sheaf 42
Quasicoherent sheaf, in the etale topology 67
Quasicompact (scheme) 41
Rank of a locally free sheaf 42
Rank, generic, of a coherent sheaf 150
Representable etale covering 92
Ring, adic 204
Ring, associated graded 219
Ring, discrete adic 205
Ring, graded 218
Scheme 41
Scheme, affine 40
Scheme, locally noetherian 44
Scheme, Noetherian 49
Scheme, nonsingular 45
Scheme, of dimension n over a ground field 45
Scheme, reduced 45
Scheme, separated 44
Section of a map 110
Separated algebraic space 97
Serre Criterion 163
Serre Criterion, Weak 161
Serre Finiteness Theorem 142
Sheaf 30
Sheaf Criterion for Isomorphism 121
Sheaf on an algebraic space, coherent 113
Sheaf on an algebraic space, locally free of rank r 113
Sheaf on an algebraic space, map of 113
Sheaf on an algebraic space, quasicoherent 113
Sheaf, abelian 30
Sheaf, coherent 41
Sheaf, global, on the category of affine formal schemes 212
Sheaf, global, on the category of affine formal schemes, continuity 212
Sheaf, global, on the category of affine formal schemes, structure 213
Sheaf, Horn and Ext 241
Sheaf, invertible 42
Sheaf, quasicoherent 42
Sheaf, structure 104
Sheaf, torsion 151
Sheaf, torsion-free 151
Space, local ringed 39
Spec R 38
Spectrum 38
Stable (class of maps) 32
Stable, (class of objects) 31
Stable, (property of maps) 34
Stable, (property of objects) 34
Stalk 148
Stalk, geometric 147
Stein factorization of a map 124
Strict initial object 35
Strict projective system 221
Subcategory, closed 32
Subscheme 41
Subscheme, closed 40
Subscheme, open 40
Subspace of an algebraic space 109
Subspace, closed 109
Subspace, open 109
Support of a sheaf on a scheme 52
Support of a sheaf on an algebraic space 127
surface 236
Symmetric powers of equivalence relation 73
Symmetric powers of equivalence relation, effective 73
Symmetric powers of equivalence relation, quotient 73
Symmetric powers of projective spaces 188
Topologically dense 125
topology 29
Topology associated to a closed subcategory 35
Topology, etale, local vs global 102
Topology, etale, local vs global, affine formal schemes 211
Topology, etale, local vs global, algebraic spaces 102
Topology, etale, local vs global, schemes 63
Topology, flat (schemes) 55
Topology, fppf (schemes) 59
Topology, Zariski, on an algebraic space 132
Topology, Zariski, on schemes 44
Truncation, of a formal algebraic space 217
Truncation, of adic ring 205
Universal effectively epi-morphic family (UEEF) 34
Variety 235
Variety dimension of 236
Variety prevariety 235
Zariski topology on an algebraic space 132
Zariski topology on schemes 44
Zariski's main theorem 235
|
|
|
| Реклама |
|
|
|
|
|
О проекте