Singularities / [electronic resource] [edited by Peter Orlik].

Contributor(s): Orlik, Peter, 1938- | American Mathematical Society | Summer Institute on Singularities (1981 : Humboldt State University)Material type: TextTextSeries: Proceedings of symposia in pure mathematics ; v. 40.1Publication details: Providence, R.I. : American Mathematical Society, c1983Description: 1 online resource (2 v. : ill.)ISBN: 9780821893319 (online)Subject(s): Singularities (Mathematics)Additional physical formats: Singularities /DDC classification: 514/.74 LOC classification: QA614.58 | .S55 1983Online resources: Contents | Contents
Partial contents:
Desingularization of plane curves / Shreeram S. Abhyankar -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713043 Zeros of holomorphic vector fields and the Gysin homomorphism / E. Aky�ld�z and J. B. Carrell -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713044 On the graded rings associated to holomorphic vector fields with exactly one zero / E. Aky�ld�z, J. B. Carrell, D. I. Lieberman and A. J. Sommese -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713045 Some open problems in the theory of singularities / V. I. Arnold -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713046 Complex surfaces of small homotopy type / Gottfried Barthel -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713047 Homeomorphy classification of normal surfaces in $\mathbf {P}_{3}$ with $\mathbf {C}^*$-action / Gottfried Barthel -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713048 Minimal free resolutions of Gorenstein local rings with small multiplicity / Kurt Behnke -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713049 Analytic equivalence of isolated hypersurface singularities defined by homogeneous polynomials / Max Benson -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713050 An application of singularity theory to nonlinear elliptic partial differential equations / M. S. Berger, P. T. Church and J. G. Timourian -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713051 Algebras of composite differentiable functions / Edward Bierstone and Pierre D. Milman -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713052 The extension problem and related themes in differential analysis / Edward Bierstone and Gerald W. Schwarz -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713053 On global extensions of Dynkin diagrams and singular surfaces of the topological type of $\mathbf {P}^{2}$ / Lawrence Brenton, David Bindschadler, Daniel Drucker and Geert C. E. Prins -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713054 Milnor lattices and Dynkin diagrams / E. Brieskorn -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713055 On the topology of polynomial hypersurfaces / S. A. Broughton -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713056 Genericity of caustics by reflexion / J. W. Bruce, P. J. Giblin and C. G. Gibson -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713057 Envelopes, duality and contact structures / J. W. Bruce -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713058 Bifurcation involving the hexagonal lattice / Ernesto Buzano and Martin Golubitsky -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713059 On saturations of curve singularities (any characteristic) / Antonio Campillo -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713060 A note on the classes $[S^{k}_{1}(f)]$ / Daniel S. Chess -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713061 Differential maps with small critical set / P. T. Church -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713062 The unfolding and determinacy theorems for subgroups of $\mathcal {A}$ and $\mathcal {K}$ / James Damon -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713063 Topological triviality in versal unfoldings / James Damon -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713064 Newton filtrations, monomial algebras and nonisolated and equivariant singularities / James Damon -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713065 Contact germs from the plane to the plane / A. Dimca and C. G. Gibson -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713066 Weyl groups and Cremona transformations / Igor V. Dolgachev -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713067 Genericity and smooth finite determinacy / Andrew du Plessis -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713068 A naive guide to mixed Hodge theory / Alan H. Durfee -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713069 The low-dimensional topology of singularities / Alan H. Durfee -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713070 On the monodromy groups of singularities / Wolfgang Ebeling -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713071 Rational curves with cusps / David Eisenbud -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713072 Mixed Hodge structures / Fouad Elzein -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713073 Special polars and curves with one place at infinity / Robert Ephraim -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713074 Another view of critical point theory / Istv�an F�ary -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713075 Some results on Poincar�e duality / Istv�an F�ary -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713076 Some essential valuations in the resolution of singularities / Jonathan Fine -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713077 Derivations and smooth discriminant / Klaus Fischer -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713078 Singularities of period maps and the weak global Torelli problem / Robert Friedman and Roy Smith -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713079 The Thom polynomial of $\overline {\sum ^{1111}}$ / Terence Gaffney -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713080 The structure of $T\mathcal {A}(f)$, classification and an application to differential geometry / Terence Gaffney -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713081 Multiple points and associated ramification loci / Terence Gaffney -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713082 Equivalence theorems in global singularity theory / Terence Gaffney and Leslie Wilson -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713083 Hilbert scheme as flattener / A.
Galligo -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713084 Differential invariance of multiplicity / Yih Nan Gau and Joseph Lipman -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713085 Classification des singularit�es isol�ees simples d'intersections compl�etes / Marc Giusti -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713086 Finding the nondegenerate quadratic singularities / Norman Goldstein -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713087 A discussion of symmetry and symmetry breaking / Martin Golubitsky and David Schaeffer -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713088 Stratified Morse theory / Mark Goresky and Robert MacPherson -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713089 On the topology of smoothable singularities / Gert-Martin Greuel and Joseph Steenbrink -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713090 Lefschetz theorems for singular varieties / Helmut A. Hamm -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713091 Stratification via corank one projections / Robert M. Hardt -- http://www.ams.org/pspum/040.1 http://dx.doi.org/10.1090/pspum/040.1/713092
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"Proceedings of the Summer Institute on Singularities held at Humboldt State University, Arcata, California, July 20-August 7, 1981"--Verso t.p.

Includes bibliographies.

Desingularization of plane curves / Shreeram S. Abhyankar -- Zeros of holomorphic vector fields and the Gysin homomorphism / E. Aky�ld�z and J. B. Carrell -- On the graded rings associated to holomorphic vector fields with exactly one zero / E. Aky�ld�z, J. B. Carrell, D. I. Lieberman and A. J. Sommese -- Some open problems in the theory of singularities / V. I. Arnold -- Complex surfaces of small homotopy type / Gottfried Barthel -- Homeomorphy classification of normal surfaces in $\mathbf {P}_{3}$ with $\mathbf {C}^*$-action / Gottfried Barthel -- Minimal free resolutions of Gorenstein local rings with small multiplicity / Kurt Behnke -- Analytic equivalence of isolated hypersurface singularities defined by homogeneous polynomials / Max Benson -- An application of singularity theory to nonlinear elliptic partial differential equations / M. S. Berger, P. T. Church and J. G. Timourian -- Algebras of composite differentiable functions / Edward Bierstone and Pierre D. Milman -- The extension problem and related themes in differential analysis / Edward Bierstone and Gerald W. Schwarz -- On global extensions of Dynkin diagrams and singular surfaces of the topological type of $\mathbf {P}^{2}$ / Lawrence Brenton, David Bindschadler, Daniel Drucker and Geert C. E. Prins -- Milnor lattices and Dynkin diagrams / E. Brieskorn -- On the topology of polynomial hypersurfaces / S. A. Broughton -- Genericity of caustics by reflexion / J. W. Bruce, P. J. Giblin and C. G. Gibson -- Envelopes, duality and contact structures / J. W. Bruce -- Bifurcation involving the hexagonal lattice / Ernesto Buzano and Martin Golubitsky -- On saturations of curve singularities (any characteristic) / Antonio Campillo -- A note on the classes $[S^{k}_{1}(f)]$ / Daniel S. Chess -- Differential maps with small critical set / P. T. Church -- The unfolding and determinacy theorems for subgroups of $\mathcal {A}$ and $\mathcal {K}$ / James Damon -- Topological triviality in versal unfoldings / James Damon -- Newton filtrations, monomial algebras and nonisolated and equivariant singularities / James Damon -- Contact germs from the plane to the plane / A. Dimca and C. G. Gibson -- Weyl groups and Cremona transformations / Igor V. Dolgachev -- Genericity and smooth finite determinacy / Andrew du Plessis -- A naive guide to mixed Hodge theory / Alan H. Durfee -- The low-dimensional topology of singularities / Alan H. Durfee -- On the monodromy groups of singularities / Wolfgang Ebeling -- Rational curves with cusps / David Eisenbud -- Mixed Hodge structures / Fouad Elzein -- Special polars and curves with one place at infinity / Robert Ephraim -- Another view of critical point theory / Istv�an F�ary -- Some results on Poincar�e duality / Istv�an F�ary -- Some essential valuations in the resolution of singularities / Jonathan Fine -- Derivations and smooth discriminant / Klaus Fischer -- Singularities of period maps and the weak global Torelli problem / Robert Friedman and Roy Smith -- The Thom polynomial of $\overline {\sum ^{1111}}$ / Terence Gaffney -- The structure of $T\mathcal {A}(f)$, classification and an application to differential geometry / Terence Gaffney -- Multiple points and associated ramification loci / Terence Gaffney -- Equivalence theorems in global singularity theory / Terence Gaffney and Leslie Wilson -- Hilbert scheme as flattener / A.

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713043

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713044

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713045

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713046

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713047

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713048

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713049

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713050

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713051

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713052

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713053

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713054

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713055

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713056

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713057

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713058

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713059

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713060

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713061

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713062

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713063

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713064

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713065

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http://dx.doi.org/10.1090/pspum/040.1/713066

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http://dx.doi.org/10.1090/pspum/040.1/713067

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http://dx.doi.org/10.1090/pspum/040.1/713068

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713069

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713070

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713071

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713072

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713073

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713074

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713075

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713076

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713077

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713078

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713079

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713080

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713081

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713082

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713083

Differential invariance of multiplicity / Yih Nan Gau and Joseph Lipman -- Classification des singularit�es isol�ees simples d'intersections compl�etes / Marc Giusti -- Finding the nondegenerate quadratic singularities / Norman Goldstein -- A discussion of symmetry and symmetry breaking / Martin Golubitsky and David Schaeffer -- Stratified Morse theory / Mark Goresky and Robert MacPherson -- On the topology of smoothable singularities / Gert-Martin Greuel and Joseph Steenbrink -- Lefschetz theorems for singular varieties / Helmut A. Hamm -- Stratification via corank one projections / Robert M. Hardt --

Galligo --

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713084

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713085

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713086

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713087

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713088

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713089

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713090

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713091

http://www.ams.org/pspum/040.1

http://dx.doi.org/10.1090/pspum/040.1/713092

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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