Dimca A. — Singularities and Topology of Hypersurfaces :: Электронная библиотека попечительского совета мехмата МГУ

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Dimca A. — Singularities and Topology of Hypersurfaces

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Название: Singularities and Topology of Hypersurfaces

Автор: Dimca A.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1992

Количество страниц: 263

Добавлена в каталог: 13.01.2007

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

Предметный указатель

-singularities      13 59—60 95 203 222 226
-singularities      13 59—60 222 226
-singularities      13 59—60 222 226
$T_{p,q,r}$ -singularities      13 60—62 207 223 245
$\tilde{D}_k$ -binary dihedral group      111
$\tilde{E}_k$ -singularities      13 63—64 203 222—223
(Hyper)plane section      15 25—26 133—135 137
Adjunction formula      141
Affine hypersurface      19—22 28 103 174—176 244
Affine variety      26 28 182 233
Alexander ideal      38
Alexander invariant      35—36
Alexander matrix      38 92
Alexander polynomial of a hypersurface      106—110 206—216
Alexander polynomial of a knot      38—40 44
Alexander polynomial, local      206—207
Borromean rings      41
Braid groups      113—115
Briancon — Speder example      12
Brieskorn — Pham singularities      94—99 105—106 211
Casson invariant      98—99
Cayley — Bacharach theorem      212
Chern classes      151—152
Compact polyhedron      27 75
Complete intersection, locally      25
Complete intersection, projective      142—176
Complete intersection, singularity      24—25 76 80—81 90
Conic structure      23 163
Connectivity      76 79
Contraction of a resolution graph      56 60 62
Contraction with a vector field      179—180
Covering, cyclic      34—35 90 234
Covering, universal      28 112
Cubic curve      194 216
Cubic surfaces      165—166
Curve singularity      41—49 100 117—120 125 220
Cusp singularities      13 60—62 207 223 245
CW-complex      27 139
Cylindric structure      26 75 157
de Rham — Koszul complex      190
Defect of a linear system      207—208
Degeneration      121 126 128 138 214—215
Differential forms      177—180
Discriminant, form      225—226
Discriminant, group      220 226
Discriminant, hypersurface      81 132
Distinguished basis      83
Dolgachev numbers      63 224
Du Val singularities      13 59—60 222 226
Dual hypersurface      14 131
Durfee conjecture      159
Dynkin diagram      60 221—224
Ehresmann’s Fibration Theorem      15
Eilenberg — MacLane space      32 115 146
Equivalent germs      2
Essential singularity      205 207
Euler vector field      179 181
Exceptional singularities      13 62—63 223—224
Filtration, Hodge      185—188 202 217 240
Filtration, polar      184—188 202 217
Filtration, weight      241 245
Fitting ideal      38 44
Foliations of a sphere      98
Free product of groups      56 111 134
Fundamental group      27 105 116
Fundamental group of a hypersurface complement      26 80 101—138
Fundamental group of a knot complement      32—40
Fundamental group of a link      53—58
Fundamental group, local      2 103—104
Gabnelov numbers      63 224
Graph      94 113
Graph of a resolution      50 60 218 229 245
Grothendieck residue      49
Group, isotropic (subgroup)      225
Group, isotropy      197
Group, of a knot      32
Group, reflection      57
Group, small      57—58
Gysin sequence      46 77 198
Heisenberg group      64
Hirzebruch Index Theorem      153
Hirzebruch — Jung singularities      58 231
Hodge numbers      236 240—241 246
Hodge structures      240—247
Homology manifold      164 232 243
Hopf bundle      32 139 142
Hyperbolic singularities      13 60—62 207 223 245
Hypersurface, nodal      17—19 208—210 218
Hypersurface, quadratic      194
Hypersurface, smooth projective      15 109 152
INDEX      98 221 237 240
Inflectional tangent      120 127 186
Intersection, cohomology      217
Intersection, form      37 52 86 89
Intersection, matrix      52 83
Intersection, number      45 89 100
Join      27 87—88 135—137
K3 surface      160 236
Kahler manifold      239
Knot      29

Knot, (p, q) torus      31 33—35 43
Knot, algebraic      42
Knot, fibered      39
Knot, trefoil      31 40
Knot, trivial      30 33
Lattice      219
Lattice, even/odd      154—155 219
Lattice, morphism of      220
Lattice, nondegenerate      219
Lattice, reduced      220
Lattice, skew-symmetric      220
Lattice, unimodular      219
Lefschetz number      75 108
Lefschetz Theorem      25
Lens space      59
Line configuration      212—213
Link      23 29 66 245
Link at infinity      28 175
Link, algebraic      42
Link, fibered      39
Link, trivial      30 41
Linking form      227—228
Linking number      33 45
Milnor number      10 78 162—163
Milnor number, $\mu$ -constant      10 12
Milnor number, $\mu$ -determinacy      125
Milnor number, $\mu$ -equivalent      10
Milnor number, $\mu^*$ -constant      12
Milnor number, $\mu^*$ -invariant      11—12
Milnor number, global      21
Milnor, algebra      193 236 244
Milnor, fiber      68—75 82 133 163 237
Milnor, lattice      83 89—90 157—158 161 167 170—172 220 227—229
Monodromy, homeomorphism      40 73—74
Monodromy, operator      40 44 73—75 86
Monodromy, relation      119—120 127
Morsification      82
N-equivalence      25
Normal bundle      141 152 155
Normal crossing singularity      79 105
Normal singularity      50 55 104
Parallelizable manifold      75 97
Picard — Lefschetz transformation      85
Pinch point      4 11 24
Pliicker formula      14
Poincare icosahedral sphere      60
Poincare series      65
Poincare — Leray residue      46—47 192—193 200
Pole (order of the)      184
Pontrjagin classes      153
Presentation      38 111 127
Presentation, matrix      38—40
Primitive (co)homology      146—147 234
Primitive embedding      90 224 227
Projective cone      169—170
Projective space      139—142 230—232
Projective space, (co)homology      109 145 147—148 167
Quartic curves      126 129—133
Quasismooth      232
Quotient singularities      57—60 231—233
Rational double points      13 59—60 222 226
Resolution of singularities      50 52 59—63 66—67 218 228 243 245
Resultant hypersurface      80
Seifert, invariants      65
Seifert, matrix      36—38 85—86
Seifert, surface      34
Semiweighted homogeneous singularity      12 74 125 204
Signature      221 244
Simple-elliptic singularities      13 63—64 203 222—223
Smith Theory      173—174
Smith — Gysin sequence      231
Sphere, exotic      97—98
Sphere, homology      53 60 93—97
Stabilization of singularities      89
Stein variety      26 69 182
Stratification      3
Stratification, Samuel      4
Stratification, topologically locally trivial      8
Stratification, Whitney (regular)      4 6—7 17 135
Stratum      3
Surface singularity      49—67 245
Thom — Sebastiani construction      27 86—90 135
Thorn’s First Isotopy Lemma      16
Tjurina number      81
Transversal singularity      197
Triangle singularities      13 62—63 223—224
Unimodular matrix/lattice      37 53 164
Vanishing cycle      83
Veronese embedding      15
Veronese variety      15
Wang sequence      61 73
Weight      64
Weighted homogeneous, projective space      105 230—237
Weighted homogeneous, projective variety      230—237
Weighted homogeneous, singularity      64—67 71—74 79 87 202—204 236 243—244
Whitney regularity      3 12
Whitney umbrella      4 11 24
Zariski conjecture      2
Zariski sextic curves      18 134—138 210—211
“Tubular” neighborhood      148—151

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