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Singularities, Part 1
 
Edited by: Peter Orlik
Singularities, Part 1
Hardcover ISBN:  978-0-8218-1450-5
Product Code:  PSPUM/40.1
List Price: $139.00
MAA Member Price: $125.10
AMS Member Price: $111.20
eBook ISBN:  978-0-8218-9331-9
Product Code:  PSPUM/40.1.E
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Hardcover ISBN:  978-0-8218-1450-5
eBook: ISBN:  978-0-8218-9331-9
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
Singularities, Part 1
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Singularities, Part 1
Edited by: Peter Orlik
Hardcover ISBN:  978-0-8218-1450-5
Product Code:  PSPUM/40.1
List Price: $139.00
MAA Member Price: $125.10
AMS Member Price: $111.20
eBook ISBN:  978-0-8218-9331-9
Product Code:  PSPUM/40.1.E
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Hardcover ISBN:  978-0-8218-1450-5
eBook ISBN:  978-0-8218-9331-9
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 Details
     
     
    Proceedings of Symposia in Pure Mathematics
    Volume: 401983; 676 pp
    MSC: 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 low-dimensional 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 ]
    • Gert-Martin 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 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 401983; 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 low-dimensional 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 ]
  • Gert-Martin 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 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.