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Wall C.T., Bruce J.W. (Ed) — Singular Points of Plane Curves
Wall C.T., Bruce J.W. (Ed) — Singular Points of Plane Curves

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Название: Singular Points of Plane Curves

Авторы: Wall C.T., Bruce J.W. (Ed)

Аннотация:

This book has arisen from the author's successful course at Liverpool University. The text covers all the essentials in a style that is detailed and expertly written by one of the foremost researchers and teachers working in the field. Ideal for either course use or independent study, the volume guides students through the key concepts that will enable them to move on to more detailed study or research within the field.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2004

Количество страниц: 250

Добавлена в каталог: 23.05.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$a_i$ (negative self-intersection)      192
$A_k$ singularity      26
$C^{(i)}$ (ith strict transform of C)      43
$D_k$ singularity      87
$e_i = hcf(\beta_0, \cdots, \beta_i)$      40
$E_i$ ($i^{th}$ exceptional curve)      43
$E_i^{o}$ (punctured Ei)      230
$E_k$ singularity      87
$F_C$ (decomposed Milnor fibre)      269
$hM_i$ (h.c.f. $M_r$)      277
$M_E$ (h.c.f. $(M_i, M_j)$)      275
$M_i = M_i(C)$ ($i^{th}$ order of f)      198
$m_i$ (multiplicity of curvette)      198
$m_i(B)$ (multiplicity of ith blow up)      50
$m_P(C)$ (multiplicity at P)      157
$P_z(n) (=(t^n - 1))$      124
$r_P(C)$ (number of branches at P)      157
$T_i$ ($i^{th}$ blown up surface)      43
$v_i$, (valence of vertex V^)      230
$[E_i]$ (exceptional cycle)      188
$[\hat{E}_i]$ (class of total transform)      189
$\bar{\nu}_i$ (coeff. in fundamental cycle)      193
$\beta_i$ (Puiseux exponent)      40
$\delta(B)$ (double point number)      79
$\Delta^K(t)$ (Alexander polynomial)      122
$\delta_i$ (defect)      195
$\delta_{i, j}$ (Kronecker delta)      53
$\epsilon_k$ ($k^{th}$ curvette)      53
$\Gamma^{++}_R(C)$      238
$\Gamma_E(C)$ (Eggers tree)      76
$\Gamma_E^+(C)$      240
$\Gamma_R(C)$ (resolution tree)      58
$\Gamma_R^(C)$      58
$\le$ (ordering of vanishing cycles)      196
$\mathcal{E}$ (semigroup of effective cycles)      196
$\mathcal{E}(\Gamma)$ (edge set of graph)      57
$\mathcal{O}_0$ (ring of germs at O)      317
$\mathcal{O}_i$(centre of ith blow up)      43
$\mathcal{V}(\Gamma)$ (vertex set of graph)      57
$\mathfrak{m}$ (maximal ideal in Oq}      318
$\mu_p(C)$ (Milnor number at P)      157
$\nu_i = 1+ \bar{\nu}_i$      199
Acnode      169
Alexander polynomial      122
Algebraic link      224
Analytic      2
Arrowhead vertex      188
Atoroidal (3-manifold)      222
Augmented dual tree      58
Bitangent      162
Blowing up      40
Branch      26
Cable knot      117
Carousel      112
Centre (of blow up)      40
Class (of plane curve)      156
Closed complement (of link)      135
Cluster      328
Coefficient      2
Complete (local ring)      31
Cone point      244
Constructible function      163
Convergent (in $\mathfrak{m}_t$-adic sense)      3
Convergent power series      2
Core (of dual graph)      238
Core (of dual tree of branch)      61
Core (of E-N diagram)      250
Crunode      169
Curvette      53
CYCLE      189
Dead branch      240
Defect (of partial blow up)      195
Degree (of polynomial)      3
Determinacy      341
Differentials      350
Discriminant      8
Double point number (of branch)      79
Double point number (of curve)      151
Doubly augmented dual graph      238
Dual curve      159
Dual graph (of resolution)      58
Dual semigroup      82
Effective (cycle)      196
Efficient resolution      238
Eggers tree      76
Equisingular (of branch)      86
Equisingular (of curves)      87
Exceptional curve      11
Exceptional cycle      193
Exceptional fibre      244
EXPONENT      2
Exponent of contact      68
Fibration, fibre      131
Formal power series      2
Fundamental cycle      193
Geodesic (in graph)      58
Germ      4
Good ( parametrisation)      1
Good resolution      17
Graph      57
Hairy Eggers tree      240
Herbrand function      74
hessian      14
Holomorphic      2
Hyper flex      175
Incidence variety      166
Inconipressible surface      221
Infinitely near point      49
Integral closure (of ideal)      337
Integral closure (of ring)      336
Integral curve (of vector field)      104
Irreducible (3-manifold)      221
Isomorphism of Eggers trees      77
Isotopy      103
Jacobian matrix      10
jet      318
Latitude      118
Linking number      110
Local ring      31
Local ring of curve      79
Mapping torus      132
Maximal contact      90
Meridian      118
Milnor fibration, Milnor fibre      138
Milnor number      139
Minimal (resolution)      49
Modification      146
Monic (polynomial)      9
monodromy      132
Multiplicity      6 30
Newton polygon      16
Non-degenerate (singularity)      141
Normal crossings      47
Normalisation      49
Normalisation (of ring)      337
NPND      154
Open book decomposition      139
Order (of power series)      2
Partition of unity      106
Plumbing      230
Polar (polar curve)      13
Polar discriminant      259
Polar quotient      241
Polynomial      2
Primary ideal      320
Pro-branch      27 68
Projective space      5
Proximate      50
Proximity matrix      52
Puiseux characteristic      40
Puiseux exponents      70
Puiseux series      26
Ramification group      94
Reduced (curve)      27
Reduced (equal ion)      5
Regulai ol ordei m      20
Resolution      13
Resultant      8
Root (of polynomial)      2
Rupture point      57
Satellite point      51
Semi-algebraic set      137
Semi-analytic      137
Semigroup of branch      79
Simple point      31
Simple singularities      87
Smooth (curve)      4
Smooth (map)      10
Splice (of links)      248
Strict transform      42
Strict transform (cycle)      189
Tangent lines      30
Tjurina number      178
Topological zeta function      205
Total transform      42
Total transform (cycle)      180
Transverse polar      14
TREE      58
Tubular neighbour      117
Valence      57
Vector field      104
[Z] (fundamental cycle)      193
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