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Introduction to Singularities and Deformations - Greuel, Gert-Martin Lossen, Christoph Shustin, Eugenii
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
(*)
Greuel, Gert-Martin Lossen, Christoph Shustin, Eugenii:

Introduction to Singularities and Deformations - gebunden oder broschiert

2006, ISBN: 9783540283805

[ED: Hardcover], [PU: Springer, Berlin], Singularity theory is a field of intensive study in modern mathematics with fascinating relations to algebraic geometry, complex analysis, commutative algebra, representation theory, theory of Lie groups, topology, dynamical systems, and many more, and with numerous applications in the natural and technical sciences.This book presents the basic singularity theory of analytic spaces, including local deformation theory, and the theory of plane curve singularities. Plane curve singularities are a classical object of study, rich of ideas and applications, which still is in the center of current research and as such provides an ideal introduction to the general theory. Deformation theory is an important technique in many branches of contemporary algebraic geometry and complex analysis. This introductory text provides the general framework of the theory while still remaining concrete.In the first part of the book the authors develop the relevant techniques, including the Weierstraß preparation theorem, the finite coherence theorem etc., and then treat isolated hypersurface singularities, notably the finite determinacy, classification of simple singularities and topological and analytic invariants. In local deformation theory, emphasis is laid on the issues of versality, obstructions, and equisingular deformations. The book moreover contains a new treatment of equisingular deformations of plane curve singularities including a proof for the smoothness of the mu-constant stratum which is based on deformations of the parameterization. Computational aspects of the theory are discussed as well. Three appendices, including basic facts from sheaf theory, commutative algebra, and formal deformation theory, make the reading self-contained.The material, which can be found partly in other books and partly in research articles, is presented from a unified point of view for the first time. It is given with complete proofs, new in many cases. The book thus can serve as source for special courses in singularity theory and local algebraic and analytic geometry.2006. xii, 472 S. 54 SW-Abb. 235 mmSofort lieferbar, [SC: 0.00], Neuware, gewerbliches Angebot

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Introduction to Singularities and Deformations (Springer Monographs in Mathematics) - Gert-Martin Greuel; Christoph Lossen; Eugenii I. Shustin
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Gert-Martin Greuel; Christoph Lossen; Eugenii I. Shustin:

Introduction to Singularities and Deformations (Springer Monographs in Mathematics) - gebrauchtes Buch

ISBN: 3540283803

ID: 3258031

Singularity theory is a young, rapidly-growing topic with connections to algebraic geometry, complex analysis, commutative algebra, representations theory, Lie groups theory and topology, and many applications in the natural and technical sciences. This book presents the basic singularity theory of analytic spaces, including local deformation theory and the theory of plane curve singularities. It includes complete proofs. education and reference,geometry,math,mathematics,science and math,science and math,textbooks Mathematics, Springer

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Introduction to Singularities and Deformations (Springer Monographs in Mathematics) - Gert-Martin Greuel; Christoph Lossen; Eugenii I. Shustin
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
(*)
Gert-Martin Greuel; Christoph Lossen; Eugenii I. Shustin:
Introduction to Singularities and Deformations (Springer Monographs in Mathematics) - gebrauchtes Buch

ISBN: 3540283803

ID: 3258031

Singularity theory is a young, rapidly-growing topic with connections to algebraic geometry, complex analysis, commutative algebra, representations theory, Lie groups theory and topology, and many applications in the natural and technical sciences. This book presents the basic singularity theory of analytic spaces, including local deformation theory and the theory of plane curve singularities. It includes complete proofs. education and reference,geometry,mathematics,science and math,science and math,textbooks Mathematics, Springer

gebrauchtes bzw. antiquarisches Buch Thriftbooks.com
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Details...
(*) Derzeit vergriffen bedeutet, dass dieser Titel momentan auf keiner der angeschlossenen Plattform verfügbar ist.
Introduction to Singularities and Deformations - Lossen, Christoph; Greuel, Gert-martin; Shustin, Eugenii
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Lossen, Christoph; Greuel, Gert-martin; Shustin, Eugenii:
Introduction to Singularities and Deformations - neues Buch

ISBN: 9783540283805

ID: 372097

Presents the basic singularity theory of analytic spaces, including local deformation theory, and the theory of plane curve singularities. This book contains a treatment of equisingular deformations of plane curve singularities including a proof for the smoothness of the mu-constant stratum which is based on deformations of the parameterization. Mathematics Mathematics eBook, Springer

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Introduction to Singularities and Deformations - Greuel, Gert-Martin; Lossen, Christoph; Shustin, Eugenii
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Greuel, Gert-Martin; Lossen, Christoph; Shustin, Eugenii:
Introduction to Singularities and Deformations - gebunden oder broschiert

2006, ISBN: 3540283803

ID: A4193912

2007 Gebundene Ausgabe Algebraische Geometrie, Geometrie / Algebraische Geometrie, MATHEMATICS / Geometry / Algebraic, mit Schutzumschlag neu, [PU:Springer-Verlag GmbH]

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Details zum Buch
Introduction to Singularities and Deformations
Autor:

Greuel, Gert-Martin; Lossen, Christoph; Shustin, Eugenii

Titel:

Introduction to Singularities and Deformations

ISBN-Nummer:

9783540283805

Singularity theory is a field of intensive study in modern mathematics with fascinating relations to algebraic geometry, complex analysis, commutative algebra, representation theory, theory of Lie groups, topology, dynamical systems, and many more, and with numerous applications in the natural and technical sciences. This book presents the basic singularity theory of analytic spaces, including local deformation theory, and the theory of plane curve singularities. Plane curve singularities are a classical object of study, rich of ideas and applications, which still is in the center of current research and as such provides an ideal introduction to the general theory. Deformation theory is an important technique in many branches of contemporary algebraic geometry and complex analysis. This introductory text provides the general framework of the theory while still remaining concrete. In the first part of the book the authors develop the relevant techniques, including the Weierstraß preparation theorem, the finite coherence theorem etc., and then treat isolated hypersurface singularities, notably the finite determinacy, classification of simple singularities and topological and analytic invariants. In local deformation theory, emphasis is laid on the issues of versality, obstructions, and equisingular deformations. The book moreover contains a new treatment of equisingular deformations of plane curve singularities including a proof for the smoothness of the mu-constant stratum which is based on deformations of the parameterization. Computational aspects of the theory are discussed as well. Three appendices, including basic facts from sheaf theory, commutative algebra, and formal deformation theory, make the reading self-contained. The material, which can be found partly in other books and partly in research articles, is presented from a unified point of view for the first time. It is given with complete proofs, new in many cases. The book thus can serve as source for special courses in singularity theory and local algebraic and analytic geometry. TOC:I. Singularity Theory. Basic Properties of Complex Spaces and Germs. Weierstrass Preparation and Finiteness Theorem. Application to Analytic Algebras. Complex Spaces. Complex Space Germs and Singularities. Finite Morphisms and Finite Coherence Theorem. Applications of the Finite Coherence Theorem. Finite Morphisms and Flatness. Flat Morphisms and Fibres. Singular Locus and Differential Forms. Hypersurface Singularities. Invariants of Hypersurface Singularities. Finite Determinacy. Algebraic Group Actions. Classification of Simple Singularities. Plane Curve Singularities. Parametrization. Intersection Multiplicity. Resolution of Plane Curve Singularities. Classical Topological and Analytic Invariants.- II. Local Deformation Theory. Deformations of Complex Space Germs. Deformations of Singularities. Embedded Deformations. Versal Deformations. Infinitesimal Deformations. Obstructions. Equisingular Deformations of Plane Curve Singularities.- Equisingular Deformations of the Equation. The Equisingularity Ideal. Deformations of the Parametrization. Computation of T^1 and T^2 . Equisingular Deformations of the Parametrization. Equinormalizable Deformations. Versal Equisingular Deformations.- Appendices: Sheaves. Commutative Algebra. Formal Deformation Theory. Literature.- Index.

Detailangaben zum Buch - Introduction to Singularities and Deformations


EAN (ISBN-13): 9783540283805
ISBN (ISBN-10): 3540283803
Gebundene Ausgabe
Erscheinungsjahr: 2007
Herausgeber: Springer-Verlag GmbH

Buch in der Datenbank seit 06.06.2007 17:23:21
Buch zuletzt gefunden am 11.12.2016 14:45:50
ISBN/EAN: 9783540283805

ISBN - alternative Schreibweisen:
3-540-28380-3, 978-3-540-28380-5

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