Hirzebruch F. — Topological Methods in Algebraic Geometry :: Электронная библиотека попечительского совета мехмата МГУ

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Hirzebruch F. — Topological Methods in Algebraic Geometry

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Название: Topological Methods in Algebraic Geometry

Автор: Hirzebruch F.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1982

Количество страниц: 234

Добавлена в каталог: 30.06.2008

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Предметный указатель

Kernel of sheaf homomorphism      21
Kervaire, M.      183
Kodaira, K.      1 4 5 6 7 114 118 120 121 122 127 131 138—141 150 151 152 155 157 160 161 163 203 205 207 217
Koszul resolution      181
Kronecker product      48
Kundert, E.G.      64
L(D)      116
L-genus      77
Lamotke, K.      201
Lang, S.      24 47
Langlands, R.P.      165 201
Laplace operator $\Delta$       123
Laplace — Beltrami operator $\Box$       121
Lefschetz, S.      72 127 161 196
Leray, J.      1 168 169 171
Lie groups      41—45
Lie, S.      103
Lifting      44
Line bundle      45
Linear complex      166
Linear differential operator      184 185
Linear equivalence of divisors      115
Linear genus      154
Local section      43
Locally compact      29
Locally finite covering      30
M(SO(k))      83
m-sequence      9
Malgrange, B.      167
Manifold      24
Manifold with boundary      81
Manifold with Kahler metric      123
Maxwell — Todd relations      153
Mayer, K.H.      194 197 198 199 201
Meromorphic function      114
Milnor, J.      47 74 75 81 89 90 112 183 199 201
Monoidal transformation      175
Monomorphism of presheaves      19
Monomorphism of sheaves      18
Montgomery, D.      215
Morita, K.      30
Morse theory      183
Multiplicative properties of $\chi_{\nu}$ -genus      156 214
Multiplicative properties of index      85 157
Multiplicative properties of Todd genus      93 111 112 175
Multiplicative property of genus      2 77 93
Multiplicative sequence      9
Nakano, S.      2 140
Narasimhan, M.S.      166
Neighbourhood      16
Newton formula      11 92 182
Noether, M.      154
Non-embedding theorem      198
Non-immersion theorem      198
Non-oriented cobordism      89
Non-singular divisor      69 115
Non-singular variety      1
Norlund, N.E.      16
Normal bundle      68 69
Normal space      30
Normaliser      60
Novikov, S.P.      74 112
Obstruction theory      5 61
Oka, K.      167
Open covering      17
Open neighbourhood      16
Orientation of a complex manifold      2 125
Orientation of an almost complex manifold      67 112
Oriented differentiable manifold      66 76
Oriented homotopy type      90
Orthogonal      85
Palais, R.      186 188 192 193 198 201
Paracompact space      30 50
Parallelisability of spheres      183
Partition of unity      30
Periodicity theorem      182
Picard manifold      150 155
Place functions      114
Plucker coordinates      166
Plurigenus      151
Poincare duality      63 86
Poincare lemma      37 118
Poincare polynomial      127
Point finite covering      30
Pontrjagin classes of combinatorial manifold      74
Pontrjagin classes of differentiable manifold      66
Pontrjagin classes of O(q) -bundle      65
Pontrjagin classes of vector bundle      65
Pontrjagin numbers of       76
Pontrjagin, L.      41 82
Porteous, I.R.      175 176
Positive      115 138
Positive complex analytic line bundle      139
Postulation formula      1 151
Presheaf      18
Principal fibre bundle      41
Product of two oriented manifolds      76
Projection map      40
Projective space      3 8 58 73 165
Projective variety      1
Projectively induced      139
Proper covering      17
Proper map      170
Properly discontinuous      161
Quotient bundle      53 54
Quotient presheaf      19
Quotient sheaf      22
R(X)      95
R-R      155
Rational variety      2 3 163
Real Laplace operator A      123
Reduction of structure group      44
Refinement of a covering      17
Remmert, R.      16 167 169
Resolution of a sheaf      35
Restriction of a sheaf      23
Riemann sphere      62
Riemann surface      2
Riemann — Roch problem      4 116 140
Riemann — Roch theorem for algebraic curve      143 144
Riemann — Roch theorem for algebraic manifold      148 149 155 174
Riemann — Roch theorem for algebraic surface      153 154
Riemann — Roch theorem for complex analytic line bundle      149
Riemann — Roch theorem for complex analytic vector bundle      155
Riemann — Roch theorem for differentiable manifold      200
Riemann — Roch theorem for embedding      173 174
Riemann — Roch theorem for map of algebraic manifolds      172
Roberts, R.S.      199

Rohlin, V.A.      74 199
Roots of a Lie group      104
Rothenberg, M.      60 65
S      129
S(E), S(W), S(X)      179 181 184
Sampson, J.H.      169 176
Sanderson, B.J.      198
Scalar product      121
Schwartz, L.      188 193
Section extension property      51
Section of a fibre bundle      41
Section of a sheaf      20
Seeley, R.      193 196
Segal, G.B.      195 201
Segre, B.      176
Selberg, A.      165
SEQUENCE      21
Serre, J.-P.      1 4 5 7 16 20 31 32 57 83 85 114 118 119 122 123 124 125 150 151 153 155 158 167 168 169 170 171 172 173 175 206
Seshadri, C.S.      166
Severi, F.      1 2 151 152
Shapiro, A.      199
Sheaf      17
Sheaf constructed from presheaf      19
Sheaf of germs of local functions      23 24 25
Sheaf of germs of local sections      46
Sheaf, analytic coherent      167
Shrinking theorem      30
Simplicial cohomology      57 62
Singer, I.M.      90 158 184 187 188 193 194 195 196 198 199 201
Solovay, R.      201
Spectral sequence      157 168 169 171 204
Spencer, D.C.      1 4 5 6 7 114 121 127 131 150 151 155 157 203 205 207 217
Spin (2n)      198
Split manifold      105
Splitting method      59 72 74 100
Stalk      17
Stasheff, J.      75
Steenrod approximation theorem      52
Steenrod cohomology operations      73 74 83
Steenrod, N.      19 43 45 51 52 57 58 60 61 65 67 70 74 83 178
Stein manifold      168
Stiefel manifold      58 61
Stiefel — Whitney class of manifold      73
Stiefel — Whitney numbers      89
Strongly elliptic      186
Structure group      40 44
Structure sheaf      42
Subbundle      53 54
Submanifold, almost complex      70
Submanifold, complex      69
Submanifold, differentiable      68
Subpresheaf      19
Subsheaf      20
Sum of two oriented manifolds      78
Superabundance sup(F)      154
Support      30
Svarc, A.S.      74
Symbol of a differential operator      184 185
Symmetric bounded domain      162
Symmetric manifold      162
T-characteristic of a GL(q, C)-bundle      96
Tangent GL(w, C)-bundle 0      67
Tangent GL(w, R)-bundle r0      66
td, $td(\xi)$       91 177
Tensor product of bundles $\xi \otimes \xi'$       48
Tensor product of vector bundles $W\otimes W'$       47
Thom algebra      see “Cobordism ring”
Thom Isomorphism      63 71 180 182 188
Thom, R.      1 6 7 63 69 71 74 81—89 147 180
Todd class of U(q)-bundle      91
Todd genus of manifold      3 93 184
Todd polynomials      3 13—16
Todd, J.A.      2 14 91 153 176
Topological group      39
Topological index      187 196
Topological space      16
Torus      50
Triangular matrices      50
Trivial extension of a sheaf      23
Trivial fibre bundle      41
Trivial line bundle 1      114
Tubular neighbourhood      69
Turin, A.N.      166
Type(F)      63
Type(p, q)      68 118
Uniqueness of Chern classes      59
Universal -bundle      58
Universal principal bundle      74
van de Ven, A.J.H.M.      176
Van der Waerden, B.L.      2
Vandermonde determinants      80 109
Vector bundle      45
Vector bundle $\lambda^p W$ of p-vectors      47
Vector bundle $\lambda^p W^*$ of p-forms      47
Vector bundles over projective space      59 165
Vekua, I.N.      186
Virtual -characteristic      98
Virtual $\chi$ -characteristic      135
Virtual $\chi$ -characteristic for algebraic manifolds      142
Virtual almost complex submanifold      95
Virtual arithmetic genus      135
Virtual Euler — Poincare characteristic      96
Virtual index      88
Virtual Todd genus      95
Volpert, A.I.      186
Volume element      2 162
Wall, C.T.C.      90
Washnitzer, G.      158 169 176
Weak complex structure      112
Weakly almost complex manifold      112
Weil, A.      5 24 123 125 155 156 203
Weyl, H.      4 164
Whitney class of differentiable manifold      73
Whitney class of O(q)-bundle      73
Whitney class of topological manifold      74
Whitney multiplication formula      64
Whitney sum of bundles $\xi \otimes \xi'$       48
Whitney sum of vector bundles $W\otimes W'$       47
Wood, R.      182
Wu, Wen-Tsun      7
Z      24
Zappa, G.      164
Zariski topology      172
Zariski, O.      139 141 154
Zero presheaf      28
Zero sheaf      21
Zeuthen — Segre invariant      154
Z{y}, Z[y]      132
|D|      116

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