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Singularities, Part 1
Edited by:
Peter Orlik
Hardcover ISBN:  9780821814505 
Product Code:  PSPUM/40.1 
List Price:  $139.00 
MAA Member Price:  $125.10 
AMS Member Price:  $111.20 
eBook ISBN:  9780821893319 
Product Code:  PSPUM/40.1.E 
List Price:  $135.00 
MAA Member Price:  $121.50 
AMS Member Price:  $108.00 
Hardcover ISBN:  9780821814505 
eBook: ISBN:  9780821893319 
Product Code:  PSPUM/40.1.B 
List Price:  $274.00 $206.50 
MAA Member Price:  $246.60 $185.85 
AMS Member Price:  $219.20 $165.20 
Click above image for expanded view
Singularities, Part 1
Edited by:
Peter Orlik
Hardcover ISBN:  9780821814505 
Product Code:  PSPUM/40.1 
List Price:  $139.00 
MAA Member Price:  $125.10 
AMS Member Price:  $111.20 
eBook ISBN:  9780821893319 
Product Code:  PSPUM/40.1.E 
List Price:  $135.00 
MAA Member Price:  $121.50 
AMS Member Price:  $108.00 
Hardcover ISBN:  9780821814505 
eBook ISBN:  9780821893319 
Product Code:  PSPUM/40.1.B 
List Price:  $274.00 $206.50 
MAA Member Price:  $246.60 $185.85 
AMS Member Price:  $219.20 $165.20 

Book DetailsProceedings of Symposia in Pure MathematicsVolume: 40; 1983; 676 ppMSC: Primary 14; Secondary 32; 57; 58;This item is also available as part of a set:

Table of Contents

Articles

Shreeram S. Abhyankar — Desingularization of plane curves [ MR 713043 ]

E. Akyıldız and J. B. Carrell — Zeros of holomorphic vector fields and the Gysin homomorphism [ MR 713044 ]

E. Akyıldız, J. B. Carrell, D. I. Lieberman and A. J. Sommese — On the graded rings associated to holomorphic vector fields with exactly one zero [ MR 713045 ]

V. I. Arnol′d — Some open problems in the theory of singularities [ MR 713046 ]

Gottfried Barthel — Complex surfaces of small homotopy type [ MR 713047 ]

Gottfried Barthel — Homeomorphy classification of normal surfaces in $\mathbf {P}_{3}$ with $\mathbf {C}^*$action [ MR 713048 ]

Kurt Behnke — Minimal free resolutions of Gorenstein local rings with small multiplicity [ MR 713049 ]

Max Benson — Analytic equivalence of isolated hypersurface singularities defined by homogeneous polynomials [ MR 713050 ]

M. S. Berger, P. T. Church and J. G. Timourian — An application of singularity theory to nonlinear elliptic partial differential equations [ MR 713051 ]

Edward Bierstone and Pierre D. Milman — Algebras of composite differentiable functions [ MR 713052 ]

Edward Bierstone and Gerald W. Schwarz — The extension problem and related themes in differential analysis [ MR 713053 ]

Lawrence Brenton, David Bindschadler, Daniel Drucker and Geert C. E. Prins — On global extensions of Dynkin diagrams and singular surfaces of the topological type of $\mathbf {P}^{2}$ [ MR 713054 ]

E. Brieskorn — Milnor lattices and Dynkin diagrams [ MR 713055 ]

S. A. Broughton — On the topology of polynomial hypersurfaces [ MR 713056 ]

J. W. Bruce, P. J. Giblin and C. G. Gibson — Genericity of caustics by reflexion [ MR 713057 ]

J. W. Bruce — Envelopes, duality and contact structures [ MR 713058 ]

Ernesto Buzano and Martin Golubitsky — Bifurcation involving the hexagonal lattice [ MR 713059 ]

Antonio Campillo — On saturations of curve singularities (any characteristic) [ MR 713060 ]

Daniel S. Chess — A note on the classes $[S^{k}_{1}(f)]$ [ MR 713061 ]

P. T. Church — Differential maps with small critical set [ MR 713062 ]

James Damon — The unfolding and determinacy theorems for subgroups of $\mathcal {A}$ and $\mathcal {K}$ [ MR 713063 ]

James Damon — Topological triviality in versal unfoldings [ MR 713064 ]

James Damon — Newton filtrations, monomial algebras and nonisolated and equivariant singularities [ MR 713065 ]

A. Dimca and C. G. Gibson — Contact germs from the plane to the plane [ MR 713066 ]

Igor V. Dolgachev — Weyl groups and Cremona transformations [ MR 713067 ]

Andrew du Plessis — Genericity and smooth finite determinacy [ MR 713068 ]

Alan H. Durfee — A naive guide to mixed Hodge theory [ MR 713069 ]

Alan H. Durfee — The lowdimensional topology of singularities [ MR 713070 ]

Wolfgang Ebeling — On the monodromy groups of singularities [ MR 713071 ]

David Eisenbud — Rational curves with cusps [ MR 713072 ]

Fouad Elzein — Mixed Hodge structures [ MR 713073 ]

Robert Ephraim — Special polars and curves with one place at infinity [ MR 713074 ]

István Fáry — Another view of critical point theory [ MR 713075 ]

István Fáry — Some results on Poincaré duality [ MR 713076 ]

Jonathan Fine — Some essential valuations in the resolution of singularities [ MR 713077 ]

Klaus Fischer — Derivations and smooth discriminant [ MR 713078 ]

Robert Friedman and Roy Smith — Singularities of period maps and the weak global Torelli problem [ MR 713079 ]

Terence Gaffney — The Thom polynomial of $\overline {\sum ^{1111}}$ [ MR 713080 ]

Terence Gaffney — The structure of $T\mathcal {A}(f)$, classification and an application to differential geometry [ MR 713081 ]

Terence Gaffney — Multiple points and associated ramification loci [ MR 713082 ]

Terence Gaffney and Leslie Wilson — Equivalence theorems in global singularity theory [ MR 713083 ]

A. Galligo — Hilbert scheme as flattener [ MR 713084 ]

Yih Nan Gau and Joseph Lipman — Differential invariance of multiplicity [ MR 713085 ]

Marc Giusti — Classification des singularités isolées simples d’intersections complètes [ MR 713086 ]

Norman Goldstein — Finding the nondegenerate quadratic singularities [ MR 713087 ]

Martin Golubitsky and David Schaeffer — A discussion of symmetry and symmetry breaking [ MR 713088 ]

Mark Goresky and Robert MacPherson — Stratified Morse theory [ MR 713089 ]

GertMartin Greuel and Joseph Steenbrink — On the topology of smoothable singularities [ MR 713090 ]

Helmut A. Hamm — Lefschetz theorems for singular varieties [ MR 713091 ]

Robert M. Hardt — Stratification via corank one projections [ MR 713092 ]

Herwig Hauser — An algorithm of construction of the semiuniversal deformation of an isolated singularity [ MR 713093 ]

J.P. G. Henry and M. Merle — Limites de normales, conditions de Whitney et éclatement d’Hironaka [ MR 713094 ]

Audun Holme — Computation of some projective invariants [ MR 713095 ]

Anthony Iarrobino — Deforming complete intersection Artin algebras. Appendix: Hilbert function of $\mathbf {C}[x,\,y]/I$ [ MR 713096 ]

Franz W. Kamber and Philippe Tondeur — Duality for Riemannian foliations [ MR 713097 ]

Ulrich Karras — Normally flat deformations of rational and minimally elliptic singularities [ MR 713098 ]

H. King — The topology of real algebraic sets [ MR 713099 ]

Toshitake Kohno — Differential forms and the fundamental group of the complement of hypersurfaces [ MR 713100 ]

Klaus Lamotke — Questions about the proof of the hard Lefschetz theorem [ MR 713101 ]

Rémi Langevin — Metric study of the neighbourhood of a singularity [ MR 713102 ]


RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
 Book Details
 Table of Contents
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Volume: 40; 1983; 676 pp
MSC: Primary 14; Secondary 32; 57; 58;
This item is also available as part of a set:

Articles

Shreeram S. Abhyankar — Desingularization of plane curves [ MR 713043 ]

E. Akyıldız and J. B. Carrell — Zeros of holomorphic vector fields and the Gysin homomorphism [ MR 713044 ]

E. Akyıldız, J. B. Carrell, D. I. Lieberman and A. J. Sommese — On the graded rings associated to holomorphic vector fields with exactly one zero [ MR 713045 ]

V. I. Arnol′d — Some open problems in the theory of singularities [ MR 713046 ]

Gottfried Barthel — Complex surfaces of small homotopy type [ MR 713047 ]

Gottfried Barthel — Homeomorphy classification of normal surfaces in $\mathbf {P}_{3}$ with $\mathbf {C}^*$action [ MR 713048 ]

Kurt Behnke — Minimal free resolutions of Gorenstein local rings with small multiplicity [ MR 713049 ]

Max Benson — Analytic equivalence of isolated hypersurface singularities defined by homogeneous polynomials [ MR 713050 ]

M. S. Berger, P. T. Church and J. G. Timourian — An application of singularity theory to nonlinear elliptic partial differential equations [ MR 713051 ]

Edward Bierstone and Pierre D. Milman — Algebras of composite differentiable functions [ MR 713052 ]

Edward Bierstone and Gerald W. Schwarz — The extension problem and related themes in differential analysis [ MR 713053 ]

Lawrence Brenton, David Bindschadler, Daniel Drucker and Geert C. E. Prins — On global extensions of Dynkin diagrams and singular surfaces of the topological type of $\mathbf {P}^{2}$ [ MR 713054 ]

E. Brieskorn — Milnor lattices and Dynkin diagrams [ MR 713055 ]

S. A. Broughton — On the topology of polynomial hypersurfaces [ MR 713056 ]

J. W. Bruce, P. J. Giblin and C. G. Gibson — Genericity of caustics by reflexion [ MR 713057 ]

J. W. Bruce — Envelopes, duality and contact structures [ MR 713058 ]

Ernesto Buzano and Martin Golubitsky — Bifurcation involving the hexagonal lattice [ MR 713059 ]

Antonio Campillo — On saturations of curve singularities (any characteristic) [ MR 713060 ]

Daniel S. Chess — A note on the classes $[S^{k}_{1}(f)]$ [ MR 713061 ]

P. T. Church — Differential maps with small critical set [ MR 713062 ]

James Damon — The unfolding and determinacy theorems for subgroups of $\mathcal {A}$ and $\mathcal {K}$ [ MR 713063 ]

James Damon — Topological triviality in versal unfoldings [ MR 713064 ]

James Damon — Newton filtrations, monomial algebras and nonisolated and equivariant singularities [ MR 713065 ]

A. Dimca and C. G. Gibson — Contact germs from the plane to the plane [ MR 713066 ]

Igor V. Dolgachev — Weyl groups and Cremona transformations [ MR 713067 ]

Andrew du Plessis — Genericity and smooth finite determinacy [ MR 713068 ]

Alan H. Durfee — A naive guide to mixed Hodge theory [ MR 713069 ]

Alan H. Durfee — The lowdimensional topology of singularities [ MR 713070 ]

Wolfgang Ebeling — On the monodromy groups of singularities [ MR 713071 ]

David Eisenbud — Rational curves with cusps [ MR 713072 ]

Fouad Elzein — Mixed Hodge structures [ MR 713073 ]

Robert Ephraim — Special polars and curves with one place at infinity [ MR 713074 ]

István Fáry — Another view of critical point theory [ MR 713075 ]

István Fáry — Some results on Poincaré duality [ MR 713076 ]

Jonathan Fine — Some essential valuations in the resolution of singularities [ MR 713077 ]

Klaus Fischer — Derivations and smooth discriminant [ MR 713078 ]

Robert Friedman and Roy Smith — Singularities of period maps and the weak global Torelli problem [ MR 713079 ]

Terence Gaffney — The Thom polynomial of $\overline {\sum ^{1111}}$ [ MR 713080 ]

Terence Gaffney — The structure of $T\mathcal {A}(f)$, classification and an application to differential geometry [ MR 713081 ]

Terence Gaffney — Multiple points and associated ramification loci [ MR 713082 ]

Terence Gaffney and Leslie Wilson — Equivalence theorems in global singularity theory [ MR 713083 ]

A. Galligo — Hilbert scheme as flattener [ MR 713084 ]

Yih Nan Gau and Joseph Lipman — Differential invariance of multiplicity [ MR 713085 ]

Marc Giusti — Classification des singularités isolées simples d’intersections complètes [ MR 713086 ]

Norman Goldstein — Finding the nondegenerate quadratic singularities [ MR 713087 ]

Martin Golubitsky and David Schaeffer — A discussion of symmetry and symmetry breaking [ MR 713088 ]

Mark Goresky and Robert MacPherson — Stratified Morse theory [ MR 713089 ]

GertMartin Greuel and Joseph Steenbrink — On the topology of smoothable singularities [ MR 713090 ]

Helmut A. Hamm — Lefschetz theorems for singular varieties [ MR 713091 ]

Robert M. Hardt — Stratification via corank one projections [ MR 713092 ]

Herwig Hauser — An algorithm of construction of the semiuniversal deformation of an isolated singularity [ MR 713093 ]

J.P. G. Henry and M. Merle — Limites de normales, conditions de Whitney et éclatement d’Hironaka [ MR 713094 ]

Audun Holme — Computation of some projective invariants [ MR 713095 ]

Anthony Iarrobino — Deforming complete intersection Artin algebras. Appendix: Hilbert function of $\mathbf {C}[x,\,y]/I$ [ MR 713096 ]

Franz W. Kamber and Philippe Tondeur — Duality for Riemannian foliations [ MR 713097 ]

Ulrich Karras — Normally flat deformations of rational and minimally elliptic singularities [ MR 713098 ]

H. King — The topology of real algebraic sets [ MR 713099 ]

Toshitake Kohno — Differential forms and the fundamental group of the complement of hypersurfaces [ MR 713100 ]

Klaus Lamotke — Questions about the proof of the hard Lefschetz theorem [ MR 713101 ]

Rémi Langevin — Metric study of the neighbourhood of a singularity [ MR 713102 ]
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