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Brieskorn E., Knorrer H. — Plane Algebraic Curves
Brieskorn E., Knorrer H. — Plane Algebraic Curves

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Название: Plane Algebraic Curves

Авторы: Brieskorn E., Knorrer H.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1987

Количество страниц: 721

Добавлена в каталог: 19.06.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\sigma$-Process      462 491
$\sigma$-process, n-dimensional      464
Abelian integral      628
Addition on cubics      306
Adjoint curve      598
Adjoint polynomial      601
Algebra of holomorphic function germs      354
Algebra, application in geometry      I 69
Algebra, reduced      354
Algebraic curve      I 79 I
Algebraic cycle      I 274
Algebraic de Rham theorem      639
Algebraic local ring      328
Algebraic manifold      I 119
Algebraic space      337
Algebraic structure      I 203
Algorithm, euclidean (for Puiseux expansion)      514
Analysis and synthesis      I 66
Analytic set      337
Analytic set germ      349
Analytic set germ ideal      351
Analytic set, at a point      348
Analytic set, locally      349
Analytic subset      349
Angle trisection      I 3 I I
Arithmetic genus      610
Artin approximation theorem      336
Astroid      I 32
Astroid equation      I 81 I
Astroid genus      619
Astroid natural equation      I 86
Astroid polar      582
Astroid Puecker formulae      585
Astroid singular points      I 81
Barycentric calculus      I 110
Barycentric subdivision      I 265
Base point (of a linear system)      615
Basis theorem, Hilbert      345
Basis theorem, Rueckert      345
Bertini theorems      617
Betti number      I 270
Betti number of a fibre      550 573
Bezout's theorem      I 270 I I I
Birational isomorphism      468
Birational transformation      468
Birational transformation group      468
Blowing up a point      462
Boundary (of a chain)      I 262
Bouquet (of topological spaces)      I 143
Brachistochrone      I 27
Braid (torus knots)      551
Branch of a set germ      361
Branch of the multiplicity sequence      504
Branch, point (of a covering)      I 147
Brianchon's theorem      I 256
Bundle of vector spaces      460
Bundle, Hopf      461
Bundle, line      460
Canonical divisor      622
Canonical line bundle      622
Cardano formula      I 68 I
Cardioid      I 30
Cartier divisor      622
Cassini curves      I 18 I
Catacaustic      I 31
Catastrophe      I 53
Catastrophe theory      I 53
Caustic      I 31
Caustic of a parabola      I 55
Caustic, stable      I 55
Cell, chain, of a triangulation      I 266
Cell, decomposition, dual      I 264
Central projection      I 102
Chain, cell-      I 266
Chain, closed      I 261
Chain, p-      I 261
Characteristic, exponent, first      484
Characteristic, term of the Puiseux expansion      411
Chern class      623
Chern class, numbers      611
Chevalley dimension      368
Chow ring      I 275
Chow theorem      I 140
circle      I 3
Circle equation      I 73 I I I
Circle, evolute      I 19
Circle, quadrature      I 3 I
Circle, Seifert      537 551
Cissoid (of Diocles)      I 9 I
Cissoid (of Diocles), equation      I 74
Cissoid (of Diocles), polar      579
Class of a curve      I 254 576
Class, Chern      623
Class, intersection (in homology theory)      I 268
Classification of compact orientable, 2-manifolds      324
Classification of cubics      I 87 I
Classification of curves      I 87 I 323
Classification of quadrics      I 278
Classification of singularities      323
Clebsch formula      619
Closed chain      I 261
Closed p-form      635
Coboundary, Leray      641
Coherent sheaf      360
Cohomology class      653
Cohomology, de Rham      635
Cohomology, de Rham, group      635
Collinear points      I 243
Collineation      I 111 I I I
Collineation, homogeneity of polynomials preserved under      I 204
Complete intersection      369
Completion of a curve      I 207
Completion of the affine plane      I 113
Complex, simplicial      I 260
Conchoid of Nicomedes      I 13
Conchoid of Nicomedes, equation      I 75
Condition, linear (in a linear system)      I 242
Configuration of a quartic      586
Configuration of lines on a cubic surface      586
Configuration, Desargues'      I 248
Configuration, Kummer's      586
Configuration, Pascal's      I 248
Configuration, tactical      I 296
Conformal mapping, main theorem      I 280
Conic section      I 4 I
Conic section, general equation      I 74
Conic section, organic generation      I 6
Conjugation (as a mapping)      I 137
Connection, Ehresmann      663
Connection, Gauss — Manin      692
Connectivity, Riemann      610
Contact, exponent      484
Contact, maximal      481
Contact, maximal, stability under blowing up      491
Continuity principle (of Poncelet)      I 136
Contour (caustic)      I 41
Contraction of graphs      529
Coordinates, affine      I 124 I
Coordinates, Cartesian      I 106
Coordinates, development of      I 66
Coordinates, exchange      I 116 I
Coordinates, homogeneous      I 110 I I 456
Coordinates, local      I 119
Coordinates, neighbourhood      I 119
Coordinates, system, homogeneous      I 123
Coordinates, triangular      I 108
Covering, branched      I 147 I
Covering, branched, of Riemann sphere      I 154
Cremona group      468
Cremona transformation      468
Cross ratio      I 106
Crossing, normal (of divisors)      498
Cube, cell decomposition      I 266
Cube, duplication of      I 3 I I
Cubic      I 87 I I I 689
Cubic as abelian variety      I 308
Cubic as topological space      I 163
Cubic classification      I 304
Cubic cohomology      684
Cubic genus      619
Cubic Hesse normal form      I 293 655
Cubic Legendre normal form      656
Cubic Plueer formulae      584
Curve as complex analytic subset      I 139
Curve as topological subset      I 140
Curve in the complex projective plane      I 139
Curve in the projective plane      I 117
Curve with multiple components      I 239
Curve, abstract      I 203
Curve, algebraic      I 79 I
Curve, algebraic, affine      I 172 I I
Curve, algebraic, projective      I 203
Curve, algebraic, projective, complex      I 203
Curve, Cassini      I 18 I
Curve, class      I 254
Curve, classification      I 88
Curve, complete      I 203
Curve, complex      I 139
Curve, complex, projective      I 203
Curve, defined by a differential equation      I 79
Curve, dual      I 86 I 576
Curve, elliptic      I 319 324
Curve, embedding in a space      I 219
Curve, equation      I 71 I
Curve, exceptional      463 470
Curve, genus      324
Curve, geometric (Descartes)      I 79
Curve, Hessian      I 289
Curve, hyperelliptic      620
Curve, intersection number      I 238
Curve, irreducible      I 204
Curve, Lissajou      I 65
Curve, order      I 88 I
Curve, pencil      I 240
Curve, plane      I 202
Curve, plane, algebraic      I 203
Curve, plane, complex algebraic      I 203
Curve, rational      I 280
Curve, transcendental      I 79
Curve, Watt      I 58
Cusp (of a curve)      I i0
Cycle, algebraic      I 274
Cycle, bounding      I 260
Cycle, fundamental      I 269
Cycle, horizontal family      665
Cycle, intersection      I 267 I
Cycle, p-      I 260 I
Cycle, vanishing      I 162
Cycloid      I 20
Cycloid, equation      I 78
Cycloidal gear      I 33
Cycloidal pendulum      I 30
de Rham algebraic theorem      639
De Rham cohomology group      635
de Rham hypercohomology      637
de Rham theorem      636
Decomposition (of a set germ)      361
Deformation of a curve      620
Deformation of a singularity      366
Degree of a curve      I 207
Degree of a polynomial      I 174 I
Degree, n, homogeneous      I 194
Delian problem      I 3 I I
Derivative      I 71
Desargues' configuration      I 248
Desargues' theorem      I 248
Descartes, folium of      I 88 I 589
Dialectic (in mathematics)      I 66 I
Diffeomorphism      I 126
Differentiable structure      I 119
Differential equation, hypergeometric      686
Differential equation, monodromy      687
Differential form and cohomology      635
Differential form on a curve      634 654
Differential form on a Riemann surface      627
Differential form, (p,q)      637
Differential form, 1st species      628
Differential form, 1st species, (on a curve)      649
Differential form, 2nd species      629
Differential form, 3rd species      629
Differential form, closed      635
Differential form, exact      635
Differential form, holomorphic      628
Differential form, meromorphic      628
Differential form, rational      638
Dimension of a set germ      367
Dimension of an analytic subset      367
Dimension, Chevalley      368
Dimension, Krull      368
Dimension, Weierstrass      368
Disappearing line (in central projection)      I 105
Discriminant      I 181 I
Discriminant of polynomials of degree 3 and 4      I 182
Division algorithm, euclidean      I 174
Division theorem (for convergent power series)      339
Division theorem (for convergent power series), special      340
Divisor of a function (principal divisor)      I 313
Divisor of a singular curve      529
Divisor on the projective plane      I 240
Divisor, canonical      624
Divisor, Cartier      622
Divisor, common (of polynomials)      I 177
Divisor, greatest common      I 175
Divisor, intersection number of      623
Divisor, Weil      622
dodecahedron      I 266
Double point (of a curve)      I 213
Dual cell decomposition      I 264
Dual curve      I 86
Dual curve (polar)      576
Dual graph      509
Dual projective plane      I 251
Dualisation      I 251
Duality principle      I 252 I
Duplication (of the cube)      I 3 I I
Ehresmann connection      663
Elementary chain (of a resolution graph)      522
Elementary symmetric functions, main theorem on      344
Elimination (in equations)      I 179
ellipse      I 4 I
Ellipse, parallel curves of      I 41
Ellipsograph      I 8
Elliptic curve      I 306 I 324
Elliptic function      I 318
Elliptic integral      I 318 656
Elliptic modular surface      661
Embedding, Segre      500
Envelope      I 31 I
Epicycles      I 19
Epicyclic curves      I 19 I
Epicycloid      I 19
Epitrochoid      I 23
Equation from a parametrisation      I 180
Equation of a curve      I 206
Equation of a hypersurface      355
Equation of a polynomial, implicit      334
Equation, affine      I 207
Essential term of Puiseux expansion      411
Etale topology      335
Euclidean algorithm      I 174
1 2 3 4
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