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Introduction to Singularities and Deformations

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Introduction to Singularities and Deformations - nuovo libro

ISBN: 9783540283805

Singularity theory is a field of intensive study in modern mathematics with fascinating relations to algebraic geometry, complex analysis, commutative algebra, representation theory, theo… Altro …

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 thuscan serve as source for special courses in singularity theory and local algebraic and analytic geometry., Springer<

Springer.com

Nr. 978-3-540-28380-5. Costi di spedizione:Worldwide free shipping, , DE. (EUR 0.00)
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(*) Libro esaurito significa che il libro non è attualmente disponibile in una qualsiasi delle piattaforme associate che di ricerca.

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

(*)

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

2006, ISBN: 9783540283805

Springer, Hardcover, Auflage: 2007, 484 Seiten, Publiziert: 2006-11-29T00:00:01Z, Produktgruppe: Book, Hersteller-Nr.: 54 black & white illustrations, biograph, 1.89 kg, Verkaufsrang: 334… Altro …

amazon.co.uk

~~V KING~~
Costi di spedizione:Usually dispatched within 2 to 3 weeks. Die angegebenen Versandkosten können von den tatsächlichen Kosten abweichen. (EUR 5.43)
Details...

(*) Libro esaurito significa che il libro non è attualmente disponibile in una qualsiasi delle piattaforme associate che di ricerca.

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

(*)

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

2006, ISBN: 9783540283805

Springer, Hardcover, Auflage: 2007, 484 Seiten, Publiziert: 2006-11-29T00:00:01Z, Produktgruppe: Book, Hersteller-Nr.: 54 black & white illustrations, biograph, 1.89 kg, Verkaufsrang: 334… Altro …

amazon.co.uk

Costi di spedizione:Die angegebenen Versandkosten können von den tatsächlichen Kosten abweichen. (EUR 5.43)
Details...

(*) Libro esaurito significa che il libro non è attualmente disponibile in una qualsiasi delle piattaforme associate che di ricerca.

Introduction to Singularities and Deformations - Gert-Martin Greuel

ESEMPIO

(*)

Gert-Martin Greuel:
Introduction to Singularities and Deformations - copertina rigida, flessible

ISBN: 9783540283805

Hardback. New. Singularity theory is a young, rapidly-growing topic with connections to algebraic geometry, complex analysis, commutative algebra, representations theory, Lie groups theo… Altro …

Biblio.co.uk

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

ESEMPIO

(*)

Greuel, Gert-Martin; Lossen, Christoph; Shustin, Eugenii:
Introduction to Singularities and Deformations (Springer Monographs in Mathematics) - copertina rigida, flessible

2007, ISBN: 9783540283805

XII, 471 Seiten gebundene Ausgabe Zust: Gutes Exemplar. Versand D: 3,00 EUR , [PU:Berlin, Heidelberg: Springer]

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(*) Libro esaurito significa che il libro non è attualmente disponibile in una qualsiasi delle piattaforme associate che di ricerca.

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Introduction to Singularities and Deformations - nuovo libro

ISBN: 9783540283805

Singularity theory is a field of intensive study in modern mathematics with fascinating relations to algebraic geometry, complex analysis, commutative algebra, representation theory, theo… Altro …

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 thuscan serve as source for special courses in singularity theory and local algebraic and analytic geometry., Springer<

Nr. 978-3-540-28380-5. Costi di spedizione:Worldwide free shipping, , DE. (EUR 0.00)

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

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Greuel, Gert-Martin, Lossen, Christoph, Shustin, Eugenii I.:

Introduction to Singularities and Deformations (Springer Monographs in Mathematics) - copertina rigida, flessible

2006, ISBN: 9783540283805

Springer, Hardcover, Auflage: 2007, 484 Seiten, Publiziert: 2006-11-29T00:00:01Z, Produktgruppe: Book, Hersteller-Nr.: 54 black & white illustrations, biograph, 1.89 kg, Verkaufsrang: 334… Altro …

Costi di spedizione:Usually dispatched within 2 to 3 weeks. Die angegebenen Versandkosten können von den tatsächlichen Kosten abweichen. (EUR 5.43) ~~V KING~~

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

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

2006

ISBN: 9783540283805

Springer, Hardcover, Auflage: 2007, 484 Seiten, Publiziert: 2006-11-29T00:00:01Z, Produktgruppe: Book, Hersteller-Nr.: 54 black & white illustrations, biograph, 1.89 kg, Verkaufsrang: 334… Altro …

Costi di spedizione:Die angegebenen Versandkosten können von den tatsächlichen Kosten abweichen. (EUR 5.43)

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Gert-Martin Greuel:
Introduction to Singularities and Deformations - copertina rigida, flessible

ISBN: 9783540283805

Hardback. New. Singularity theory is a young, rapidly-growing topic with connections to algebraic geometry, complex analysis, commutative algebra, representations theory, Lie groups theo… Altro …

Costi di spedizione: EUR 11.79 The Saint Bookstore

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Greuel, Gert-Martin; Lossen, Christoph; Shustin, Eugenii:
Introduction to Singularities and Deformations (Springer Monographs in Mathematics) - copertina rigida, flessible

2007, ISBN: 9783540283805

XII, 471 Seiten gebundene Ausgabe Zust: Gutes Exemplar. Versand D: 3,00 EUR , [PU:Berlin, Heidelberg: Springer]

Costi di spedizione:Versandkosten innerhalb der BRD. (EUR 3.00) Antiquariat Bernhardt, 34121 Kassel

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Dettagli del libro

Introduction to Singularities and Deformations (Springer Monographs in Mathematics)

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

Informazioni dettagliate del libro - Introduction to Singularities and Deformations (Springer Monographs in Mathematics)

EAN (ISBN-13): 9783540283805
ISBN (ISBN-10): 3540283803
Copertina rigida
Copertina flessibile
Anno di pubblicazione: 2007
Editore: Springer

Libro nella banca dati dal 2007-06-06T17:23:21+02:00 (Rome)
Pagina di dettaglio ultima modifica in 2024-04-22T20:51:57+02:00 (Rome)
ISBN/EAN: 9783540283805

ISBN - Stili di scrittura alternativi:
3-540-28380-3, 978-3-540-28380-5
Stili di scrittura alternativi e concetti di ricerca simili:
Autore del libro : martin christoph, greuel, gert, lossen, loss, martin losse, christoph ktz, weierstraß
Titolo del libro: singularities, introduction, greuel, springer mathematics

Dati dell'editore

Autore: Gert-Martin Greuel
Titolo: Springer Monographs in Mathematics; Introduction to Singularities and Deformations
Editore: Springer; Springer Berlin
472 Pagine
Anno di pubblicazione: 2006-11-29
Berlin; Heidelberg; DE
Lingua: Inglese
131,99 € (DE)

BB; Hardcover, Softcover / Mathematik/Arithmetik, Algebra; Algebra; Verstehen; Mathematik; Algebra; Complex space germs; Equisingularity; Local and semi-local rings; Plane curve singularities; Versal deformation; deformation theory; singularity theory; Algebra; Algebraic Geometry; Algebraische Geometrie; EA; BC

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