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Potier J.L. — Lectures on vector bundles
Potier J.L. — Lectures on vector bundles

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Название: Lectures on vector bundles

Автор: Potier J.L.

Язык: en

Рубрика: Математика/Геометрия и топология/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1997

Количество страниц: 251

Добавлена в каталог: 16.04.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Admissible rational numbers      219
Afflne group      84
Algebraic group      84
Algebraic group, operating on varieties      85
Algebraic group, properties of action      85
Algebraic group, unipotent      93
Algebraic vector bundle      7
Algebraic vector G-bundle      139
Artinian category      78
Associated bundle      8
Associated exceptional bundle      237
Beilinson monad      184
Beilinson spectral sequence      185
Bogomolov's Theorem      178
Bounded family      73 80 81 183 185
Bounded set      112
Branched cover      161
Canonical sheaf      28
Categorical quotient      86
Centre of map of graded algebras      99
Characteristic number      218
Chern class      50
Closed group action      85
Coarse moduli space      110 116 189
Complete family      202
Complex of sheaves      18
Complex of sheaves, cohomology      19
Complex of sheaves, differentials      18
Complex of sheaves, exact sequences      20
Complex of sheaves, homotopies      19
Complex of sheaves, homotopy equivalence      19
Complex of sheaves, hypercohomology      20
Complex of sheaves, morphism      18
Complex of sheaves, quasi-isomorphisms      19
Cone on a variety at a point      124
Connection      49
Crossed morphism      242
Crossed morphism, principal      243
Curvature form of a connection      49
De Rham cohomology      22
de Rham complex      21
Deformation map      145 202
Degree of a projective curve      61
Degree of divisors      31
Determinant bundle      33
Determinantal variety      224
Direct image      55
Discriminant      177 218
Equivariant map      85
Euler — Poincare characteristic      25
Exact sequence      18
Ext      203
Extension group      118
Extensions of sheaves      118
Fat point      125
Filtered sheaves      204
Filtration length      167
Flat module      53
Frame bundle      14
Free group action      85
G-bundle      139
G-sheaf      235
Galois cover      161
Galois group      161
Geometric quotient      89 190
Good quotient      88 94 100
Grothendieck duality      28
Grothendieck group      32
Grothendieck's criterion      196
Haar measure      92
Harder — Narasimhan filtration      79 159 170
Harder — Narasimhan sequence      79 159
Higher direct image      55 57
Hilbert polynomial      61 156
Hilbert scheme      65 111 195
Hilbert scheme, tangent space      127
Hilbert — Mumford criterion      104
Homotopy group      38
Hopf bundle      10
Hypercohomology      20
Hypercohomology, coboundary map      21
Hypercohomology, induced long exact sequences      20
Hypercohomology, induced maps      20
Infinitesimal neighbourhood      125
Injective resolution      19
Injective sheaf      18
Irreducible representation      90
Isotypical factor      91
Jacobian variety      141
Jordan — Hoelder filtration      78 160
Jordan — Hoelder filtration, associated grading      78
Jordan — Hoelder filtration, length      78
Jordan — Hoelder grading      160
K group      32
Kempf's Lemma      140
Kodaira — Spencer map      145 202
Linear equivalence of divisors      31
Linear fibration      7
Linearly reductive group action      90 93 96
Locally finite G-modules      94
Locally isotrivial      135
Locally-free sheaf      13
Map of bundles      9
Map of complexes      18
Maximal sub-sheaf      158
Moduli morphism      189
Moduli space, bundles over elliptic curves      148
Moduli space, dimension      133
Moduli space, irreducibility      141 223
Moduli space, Picard group      233
Moduli space, rationality      231
Moduli space, smoothness      133 196
Moduli space, tangent space      133
Monad      184 199
Mumford's criterion      192
Narasimhan and Seshadri, theorem of      163
One parameter sub-group      102
Petri differential      224
Poincare bundle      139
Polystable bundle      121
Polystable sheaf      196
Prioritary sheaves      209
Proj of a graded algebra      99
Proper group action      85
Quasi-isomorphism      19
Reduced Hilbert polynomial      156
Relative Hilbert scheme      202
Representation, irreducible      90
Representation, semi-simple      90
Representation, simple      90
Representation, totally reducible      90
Restriction to curves      167 171
Reynold's operator      91 95
S-equivalence      107
Semi-stability criterion      104
Semi-stable points      191
Semi-stable points of G action      100
Semi-stable vector      102
Serre duality      28
Serre fibration      38
Serre's Theorem B      57
Shatz stratification      170
Sheaf, $\mu$-semi-stable      157
Sheaf, $\mu$-stable      157
Sheaf, acyclic      21
Sheaf, algebraic      23
Sheaf, associated analytic      26
Sheaf, canonical      28
Sheaf, coherent      23
Sheaf, cohomology      20
Sheaf, complex      18
Sheaf, degree      30 156
Sheaf, direct image      55
Sheaf, discriminant      177
Sheaf, exceptional      214
Sheaf, extensions      118
Sheaf, fiasque      21
Sheaf, finite type      23
Sheaf, injective      18
Sheaf, rank      29
Sheaf, rigid      213
Sheaf, S-fiat      54 61 62
Sheaf, semi-exceptional      214
Sheaf, semi-stable      155 156 162
Sheaf, singular point      158
Sheaf, slope      75 156
Sheaf, stable      155 156
Sheaf, torsion      29
Sheaf, torsion-free      74
slope      75
Stable homotopy group      40
Stable points      191
Stable points, of G action      101
Stable vector      102
Tangent bundle      12
Tangent space      12
Torsion sub-sheaf      74
Total space      7
Trivial fibration      7
Unipotent group      93
Universal bundle      139
Universal extension      120 142
Universal sheaf      197—199
Unstable points of G action      100
Vector bundle      7
Vector bundle, associated sheaf      13
Vector bundle, associated to a representation      14
Vector bundle, degree      45
Vector bundle, direct sum      9
Vector bundle, dual      10
Vector bundle, exceptional      237
Vector bundle, existence of semi-stable      143
Vector bundle, exterior power      10 163
Vector bundle, gluing      41
Vector bundle, local chart      8
Vector bundle, local degree      45
Vector bundle, local trivialization      7
Vector bundle, maps      9
Vector bundle, quasi-rigid      208
Vector bundle, quotient bundle      10
Vector bundle, regular section      12
Vector bundle, rigid      208
Vector bundle, S-equivalence      107
Vector bundle, semi-stable      75
Vector bundle, slope      163
Vector bundle, stable      76
Vector bundle, sub-bundle      10
Vector bundle, symmetric power      10 163
Vector bundle, tensor      10
Vector bundle, tensor product      163
Vector bundle, transition functions      8
Weyl's unitary trick      93
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