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Dimca A. Ч Singularities and Topology of Hypersurfaces
Dimca A. Ч Singularities and Topology of Hypersurfaces

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Ќазвание: Singularities and Topology of Hypersurfaces

јвтор: Dimca A.

язык: en

–убрика: ћатематика/

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

ed2k: ed2k stats

√од издани€: 1992

 оличество страниц: 263

ƒобавлена в каталог: 13.01.2007

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
$A_k$-singularities      13 59Ч60 95 203 222 226
$D_k$-singularities      13 59Ч60 222 226
$E_k$-singularities      13 59Ч60 222 226
$T_{p,q,r}$-singularities      13 60Ч62 207 223 245
$\tilde{D}_k$-binary dihedral group      111
$\tilde{E}_k$-singularities      13 63Ч64 203 222Ч223
(Hyper)plane section      15 25Ч26 133Ч135 137
Adjunction formula      141
Affine hypersurface      19Ч22 28 103 174Ч176 244
Affine variety      26 28 182 233
Alexander ideal      38
Alexander invariant      35Ч36
Alexander matrix      38 92
Alexander polynomial of a hypersurface      106Ч110 206Ч216
Alexander polynomial of a knot      38Ч40 44
Alexander polynomial, local      206Ч207
Borromean rings      41
Braid groups      113Ч115
Briancon Ч Speder example      12
Brieskorn Ч Pham singularities      94Ч99 105Ч106 211
Casson invariant      98Ч99
Cayley Ч Bacharach theorem      212
Chern classes      151Ч152
Compact polyhedron      27 75
Complete intersection, locally      25
Complete intersection, projective      142Ч176
Complete intersection, singularity      24Ч25 76 80Ч81 90
Conic structure      23 163
Connectivity      76 79
Contraction of a resolution graph      56 60 62
Contraction with a vector field      179Ч180
Covering, cyclic      34Ч35 90 234
Covering, universal      28 112
Cubic curve      194 216
Cubic surfaces      165Ч166
Curve singularity      41Ч49 100 117Ч120 125 220
Cusp singularities      13 60Ч62 207 223 245
CW-complex      27 139
Cylindric structure      26 75 157
de Rham Ч Koszul complex      190
Defect of a linear system      207Ч208
Degeneration      121 126 128 138 214Ч215
Differential forms      177Ч180
Discriminant, form      225Ч226
Discriminant, group      220 226
Discriminant, hypersurface      81 132
Distinguished basis      83
Dolgachev numbers      63 224
Du Val singularities      13 59Ч60 222 226
Dual hypersurface      14 131
Durfee conjecture      159
Dynkin diagram      60 221Ч224
EhresmannТs Fibration Theorem      15
Eilenberg Ч MacLane space      32 115 146
Equivalent germs      2
Essential singularity      205 207
Euler vector field      179 181
Exceptional singularities      13 62Ч63 223Ч224
Filtration, Hodge      185Ч188 202 217 240
Filtration, polar      184Ч188 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 101Ч138
Fundamental group of a knot complement      32Ч40
Fundamental group of a link      53Ч58
Fundamental group, local      2 103Ч104
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      57Ч58
Gysin sequence      46 77 198
Heisenberg group      64
Hirzebruch Index Theorem      153
Hirzebruch Ч Jung singularities      58 231
Hodge numbers      236 240Ч241 246
Hodge structures      240Ч247
Homology manifold      164 232 243
Hopf bundle      32 139 142
Hyperbolic singularities      13 60Ч62 207 223 245
Hypersurface, nodal      17Ч19 208Ч210 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 87Ч88 135Ч137
K3 surface      160 236
Kahler manifold      239
Knot      29
Knot, (p, q) torus      31 33Ч35 43
Knot, algebraic      42
Knot, fibered      39
Knot, trefoil      31 40
Knot, trivial      30 33
Lattice      219
Lattice, even/odd      154Ч155 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      212Ч213
Link      23 29 66 245
Link at infinity      28 175
Link, algebraic      42
Link, fibered      39
Link, trivial      30 41
Linking form      227Ч228
Linking number      33 45
Milnor number      10 78 162Ч163
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      11Ч12
Milnor number, global      21
Milnor, algebra      193 236 244
Milnor, fiber      68Ч75 82 133 163 237
Milnor, lattice      83 89Ч90 157Ч158 161 167 170Ч172 220 227Ч229
Monodromy, homeomorphism      40 73Ч74
Monodromy, operator      40 44 73Ч75 86
Monodromy, relation      119Ч120 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 Ч Lefschetz transformation      85
Pinch point      4 11 24
Pliicker formula      14
Poincare icosahedral sphere      60
Poincare series      65
Poincare Ч Leray residue      46Ч47 192Ч193 200
Pole (order of the)      184
Pontrjagin classes      153
Presentation      38 111 127
Presentation, matrix      38Ч40
Primitive (co)homology      146Ч147 234
Primitive embedding      90 224 227
Projective cone      169Ч170
Projective space      139Ч142 230Ч232
Projective space, (co)homology      109 145 147Ч148 167
Quartic curves      126 129Ч133
Quasismooth      232
Quotient singularities      57Ч60 231Ч233
Rational double points      13 59Ч60 222 226
Resolution of singularities      50 52 59Ч63 66Ч67 218 228 243 245
Resultant hypersurface      80
Seifert, invariants      65
Seifert, matrix      36Ч38 85Ч86
Seifert, surface      34
Semiweighted homogeneous singularity      12 74 125 204
Signature      221 244
Simple-elliptic singularities      13 63Ч64 203 222Ч223
Smith Theory      173Ч174
Smith Ч Gysin sequence      231
Sphere, exotic      97Ч98
Sphere, homology      53 60 93Ч97
Stabilization of singularities      89
Stein variety      26 69 182
Stratification      3
Stratification, Samuel      4
Stratification, topologically locally trivial      8
Stratification, Whitney (regular)      4 6Ч7 17 135
Stratum      3
Surface singularity      49Ч67 245
Thom Ч Sebastiani construction      27 86Ч90 135
ThornТs First Isotopy Lemma      16
Tjurina number      81
Transversal singularity      197
Triangle singularities      13 62Ч63 223Ч224
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 230Ч237
Weighted homogeneous, projective variety      230Ч237
Weighted homogeneous, singularity      64Ч67 71Ч74 79 87 202Ч204 236 243Ч244
Whitney regularity      3 12
Whitney umbrella      4 11 24
Zariski conjecture      2
Zariski sextic curves      18 134Ч138 210Ч211
УTubularФ neighborhood      148Ч151
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